Machinery''''s Handbook 2th Episode 4 Part 6 pdf

Machinery's Handbook 27th Edition SINE BAR CONSTANTS 2795 Constants for Setting a 2.5-inch Sine-Bar for 32° to 39° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 32° 1.324798 1.325415 1.326031 1.326648 1.327264 1.327880 1.328496 1.329112 1.329728 1.330344 1.330960 1.331575 1.332191 1.332806 1.333421 1.334036 1.334651 1.335266 1.335881 1.336496 1.337110 1.337724 1.338339 1.338953 1.339567 1.340181 1.340795 1.341409 1.342022 1.342636 1.343249 1.343862 1.344476 1.345088 1.345701 1.346314 1.346927 1.347540 1.348152 1.348765 1.349377 1.349989 1.350601 1.351213 1.351825 1.352436 1.353048 1.353659 1.354271 1.354882 1.355493 1.356104 1.356715 1.357326 1.357936 1.358547 1.359157 1.359767 1.360378 1.360988 1.361598 33° 1.361598 1.362207 1.362817 1.363427 1.364036 1.364646 1.365255 1.365864 1.366473 1.367082 1.367691 1.368300 1.368908 1.369517 1.370125 1.370733 1.371341 1.371949 1.372557 1.373165 1.373772 1.374380 1.374987 1.375595 1.376202 1.376809 1.377416 1.378023 1.378629 1.379236 1.379843 1.380449 1.381055 1.381661 1.382267 1.382873 1.383479 1.384084 1.384690 1.385296 1.385901 1.386506 1.387111 1.387716 1.388321 1.388926 1.389530 1.390135 1.390739 1.391343 1.391947 1.392551 1.393155 1.393759 1.394363 1.394966 1.395570 1.396173 1.396776 1.397379 1.397982 34° 1.397982 1.398585 1.399188 1.399790 1.400393 1.400995 1.401597 1.402200 1.402802 1.403404 1.404005 1.404607 1.405208 1.405810 1.406411 1.407012 1.407613 1.408214 1.408815 1.409416 1.410016 1.410617 1.411217 1.411818 1.412418 1.413018 1.413617 1.414217 1.414817 1.415416 1.416016 1.416615 1.417214 1.417813 1.418412 1.419011 1.419609 1.420208 1.420806 1.421405 1.422003 1.422601 1.423199 1.423797 1.424394 1.424992 1.425589 1.426187 1.426784 1.427381 1.427978 1.428575 1.429172 1.429768 1.430365 1.430961 1.431557 1.432153 1.432750 1.433345 1.433941 35° 1.433941 1.434537 1.435132 1.435728 1.436323 1.436918 1.437513 1.438108 1.438703 1.439298 1.439892 1.440487 1.441081 1.441675 1.442269 1.442863 1.443457 1.444051 1.444644 1.445238 1.445831 1.446424 1.447017 1.447610 1.448203 1.448796 1.449388 1.449981 1.450573 1.451165 1.451757 1.452349 1.452941 1.453533 1.454125 1.454716 1.455307 1.455899 1.456490 1.457081 1.457672 1.458262 1.458853 1.459444 1.460034 1.460624 1.461214 1.461804 1.462394 1.462984 1.463574 1.464163 1.464752 1.465342 1.465931 1.466520 1.467109 1.467698 1.468286 1.468875 1.469463 36° 1.469463 1.470051 1.470640 1.471228 1.471815 1.472403 1.472991 1.473578 1.474166 1.474753 1.475340 1.475927 1.476514 1.477101 1.477688 1.478274 1.478860 1.479447 1.480033 1.480619 1.481205 1.481791 1.482376 1.482962 1.483547 1.484133 1.484718 1.485303 1.485888 1.486472 1.487057 1.487641 1.488226 1.488810 1.489394 1.489978 1.490562 1.491146 1.491730 1.492313 1.492897 1.493480 1.494063 1.494646 1.495229 1.495812 1.496394 1.496977 1.497559 1.498141 1.498723 1.499305 1.499887 1.500469 1.501051 1.501632 1.502213 1.502795 1.503376 1.503957 1.504538 37° 1.504538 1.505118 1.505699 1.506279 1.506860 1.507440 1.508020 1.508600 1.509180 1.509760 1.510339 1.510918 1.511498 1.512077 1.512656 1.513235 1.513814 1.514392 1.514971 1.515549 1.516128 1.516706 1.517284 1.517862 1.518440 1.519017 1.519595 1.520172 1.520749 1.521327 1.521904 1.522480 1.523057 1.523634 1.524210 1.524787 1.525363 1.525939 1.526515 1.527091 1.527667 1.528242 1.528818 1.529393 1.529968 1.530543 1.531118 1.531693 1.532268 1.532842 1.533417 1.533991 1.534565 1.535139 1.535713 1.536287 1.536860 1.537434 1.538007 1.538581 1.539154 38° 1.539154 1.539727 1.540300 1.540872 1.541445 1.542017 1.542590 1.543162 1.543734 1.544306 1.544878 1.545449 1.546021 1.546592 1.547164 1.547735 1.548306 1.548877 1.549448 1.550018 1.550589 1.551159 1.551729 1.552300 1.552870 1.553439 1.554009 1.554579 1.555148 1.555717 1.556287 1.556856 1.557425 1.557993 1.558562 1.559131 1.559699 1.560267 1.560835 1.561404 1.561971 1.562539 1.563107 1.563674 1.564242 1.564809 1.565376 1.565943 1.566509 1.567076 1.567643 1.568209 1.568775 1.569342 1.569908 1.570474 1.571039 1.571605 1.572170 1.572736 1.573301 Copyright 2004, Industrial Press, Inc., New York, NY 39° 1.573301 1.573866 1.574431 1.574996 1.575561 1.576125 1.576689 1.577254 1.577818 1.578382 1.578946 1.579510 1.580073 1.580637 1.581200 1.581763 1.582326 1.582889 1.583452 1.584015 1.584577 1.585140 1.585702 1.586264 1.586826 1.587388 1.587950 1.588512 1.589073 1.589634 1.590196 1.590757 1.591318 1.591878 1.592439 1.593000 1.593560 1.594120 1.594680 1.595240 1.595800 1.596360 1.596920 1.597479 1.598038 1.598598 1.599157 1.599715 1.600274 1.600833 1.601391 1.601950 1.602508 1.603066 1.603624 1.604182 1.604740 1.605297 1.605855 1.606412 1.606969 Machinery's Handbook 27th Edition 2796 SINE BAR CONSTANTS Constants for Setting a 2.5-inch Sine-Bar for 40° to 47° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 40° 1.606969 1.607526 1.608083 1.608640 1.609196 1.609753 1.610309 1.610865 1.611421 1.611977 1.612533 1.613089 1.613644 1.614200 1.614755 1.615310 1.615865 1.616420 1.616974 1.617529 1.618083 1.618638 1.619192 1.619746 1.620300 1.620854 1.621407 1.621961 1.622514 1.623067 1.623620 1.624173 1.624726 1.625278 1.625831 1.626383 1.626935 1.627488 1.628040 1.628592 1.629143 1.629695 1.630246 1.630797 1.631348 1.631899 1.632450 1.633001 1.633551 1.634102 1.634652 1.635202 1.635752 1.636302 1.636852 1.637402 1.637951 1.638500 1.639050 1.639599 1.640148 41° 1.640148 1.640696 1.641245 1.641793 1.642342 1.642890 1.643438 1.643986 1.644534 1.645082 1.645629 1.646176 1.646724 1.647271 1.647818 1.648365 1.648911 1.649458 1.650004 1.650550 1.651097 1.651643 1.652188 1.652734 1.653280 1.653825 1.654370 1.654916 1.655461 1.656005 1.656550 1.657095 1.657639 1.658183 1.658728 1.659272 1.659816 1.660359 1.660903 1.661446 1.661990 1.662533 1.663076 1.663619 1.664162 1.664704 1.665247 1.665789 1.666331 1.666873 1.667415 1.667957 1.668499 1.669040 1.669582 1.670123 1.670664 1.671205 1.671745 1.672286 1.672827 42° 1.672827 1.673367 1.673907 1.674447 1.674987 1.675527 1.676067 1.676606 1.677145 1.677685 1.678224 1.678763 1.679302 1.679840 1.680379 1.680917 1.681455 1.681993 1.682531 1.683069 1.683607 1.684144 1.684682 1.685219 1.685756 1.686293 1.686830 1.687366 1.687903 1.688439 1.688976 1.689512 1.690048 1.690583 1.691119 1.691655 1.692190 1.692725 1.693260 1.693795 1.694330 1.694865 1.695399 1.695934 1.696468 1.697002 1.697536 1.698070 1.698603 1.699137 1.699670 1.700203 1.700736 1.701270 1.701802 1.702335 1.702867 1.703400 1.703932 1.704464 1.704996 43° 1.704996 1.705528 1.706059 1.706591 1.707122 1.707653 1.708184 1.708715 1.709246 1.709777 1.710307 1.710838 1.711368 1.711898 1.712428 1.712958 1.713487 1.714017 1.714546 1.715075 1.715604 1.716133 1.716662 1.717190 1.717719 1.718247 1.718775 1.719303 1.719831 1.720359 1.720886 1.721414 1.721941 1.722468 1.722995 1.723522 1.724049 1.724575 1.725102 1.725628 1.726154 1.726680 1.727206 1.727732 1.728257 1.728783 1.729308 1.729833 1.730358 1.730883 1.731407 1.731932 1.732456 1.732981 1.733505 1.734029 1.734552 1.735076 1.735599 1.736123 1.736646 44° 1.736646 1.737169 1.737692 1.738215 1.738737 1.739260 1.739782 1.740304 1.740826 1.741348 1.741870 1.742391 1.742913 1.743434 1.743955 1.744476 1.744997 1.745518 1.746038 1.746559 1.747079 1.747599 1.748119 1.748639 1.749158 1.749678 1.750197 1.750716 1.751235 1.751754 1.752273 1.752792 1.753310 1.753829 1.754347 1.754865 1.755383 1.755900 1.756418 1.756935 1.757453 1.757970 1.758487 1.759004 1.759520 1.760037 1.760553 1.761069 1.761586 1.762102 1.762617 1.763133 1.763648 1.764164 1.764679 1.765194 1.765709 1.766224 1.766738 1.767253 1.767767 45° 1.767767 1.768281 1.768795 1.769309 1.769823 1.770336 1.770850 1.771363 1.771876 1.772389 1.772902 1.773414 1.773927 1.774439 1.774951 1.775463 1.775975 1.776487 1.776999 1.777510 1.778021 1.778533 1.779044 1.779554 1.780065 1.780576 1.781086 1.781596 1.782106 1.782616 1.783126 1.783636 1.784145 1.784655 1.785164 1.785673 1.786182 1.786690 1.787199 1.787708 1.788216 1.788724 1.789232 1.789740 1.790247 1.790755 1.791262 1.791770 1.792277 1.792783 1.793290 1.793797 1.794303 1.794810 1.795316 1.795822 1.796328 1.796833 1.797339 1.797844 1.798349 46° 1.798349 1.798855 1.799360 1.799864 1.800369 1.800873 1.801378 1.801882 1.802386 1.802890 1.803394 1.803897 1.804401 1.804904 1.805407 1.805910 1.806413 1.806915 1.807418 1.807920 1.808422 1.808924 1.809426 1.809928 1.810430 1.810931 1.811432 1.811934 1.812435 1.812935 1.813436 1.813936 1.814437 1.814937 1.815437 1.815937 1.816437 1.816936 1.817436 1.817935 1.818434 1.818933 1.819432 1.819931 1.820429 1.820928 1.821426 1.821924 1.822422 1.822919 1.823417 1.823914 1.824412 1.824909 1.825406 1.825903 1.826399 1.826896 1.827392 1.827888 1.828384 Copyright 2004, Industrial Press, Inc., New York, NY 47° 1.828384 1.828880 1.829376 1.829871 1.830367 1.830862 1.831357 1.831852 1.832347 1.832842 1.833336 1.833831 1.834325 1.834819 1.835313 1.835806 1.836300 1.836793 1.837286 1.837780 1.838273 1.838765 1.839258 1.839751 1.840243 1.840735 1.841227 1.841719 1.842211 1.842702 1.843193 1.843685 1.844176 1.844667 1.845157 1.845648 1.846138 1.846629 1.847119 1.847609 1.848099 1.848588 1.849078 1.849567 1.850056 1.850545 1.851034 1.851523 1.852012 1.852500 1.852988 1.853476 1.853964 1.854452 1.854940 1.855427 1.855914 1.856402 1.856889 1.857375 1.857862 Machinery's Handbook 27th Edition SINE BAR CONSTANTS 2797 Constants for Setting a 2.5-inch Sine-Bar for 48° to 55° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 48° 1.857862 1.858349 1.858835 1.859321 1.859807 1.860293 1.860779 1.861264 1.861750 1.862235 1.862720 1.863205 1.863690 1.864175 1.864659 1.865143 1.865628 1.866112 1.866596 1.867079 1.867563 1.868046 1.868529 1.869012 1.869495 1.869978 1.870461 1.870943 1.871425 1.871907 1.872389 1.872871 1.873353 1.873834 1.874316 1.874797 1.875278 1.875759 1.876239 1.876720 1.877200 1.877680 1.878160 1.878640 1.879120 1.879600 1.880079 1.880558 1.881037 1.881516 1.881995 1.882474 1.882952 1.883430 1.883909 1.884387 1.884864 1.885342 1.885819 1.886297 1.886774 49° 1.886774 1.887251 1.887728 1.888205 1.888681 1.889157 1.889634 1.890110 1.890586 1.891061 1.891537 1.892012 1.892488 1.892963 1.893438 1.893913 1.894387 1.894862 1.895336 1.895810 1.896284 1.896758 1.897231 1.897705 1.898178 1.898651 1.899125 1.899597 1.900070 1.900543 1.901015 1.901487 1.901959 1.902431 1.902903 1.903374 1.903846 1.904317 1.904788 1.905259 1.905730 1.906200 1.906671 1.907141 1.907611 1.908081 1.908551 1.909021 1.909490 1.909959 1.910429 1.910897 1.911366 1.911835 1.912304 1.912772 1.913240 1.913708 1.914176 1.914644 1.915111 50° 1.915111 1.915578 1.916046 1.916513 1.916980 1.917446 1.917913 1.918379 1.918846 1.919312 1.919778 1.920243 1.920709 1.921174 1.921640 1.922105 1.922570 1.923034 1.923499 1.923963 1.924428 1.924892 1.925356 1.925820 1.926283 1.926747 1.927210 1.927673 1.928136 1.928599 1.929062 1.929524 1.929986 1.930448 1.930910 1.931372 1.931834 1.932295 1.932757 1.933218 1.933679 1.934140 1.934601 1.935061 1.935521 1.935982 1.936442 1.936902 1.937361 1.937821 1.938280 1.938739 1.939198 1.939657 1.940116 1.940575 1.941033 1.941491 1.941949 1.942407 1.942865 51° 1.942865 1.943323 1.943780 1.944237 1.944694 1.945151 1.945608 1.946064 1.946521 1.946977 1.947433 1.947889 1.948345 1.948801 1.949256 1.949711 1.950166 1.950621 1.951076 1.951531 1.951985 1.952439 1.952893 1.953347 1.953801 1.954255 1.954708 1.955162 1.955615 1.956068 1.956520 1.956973 1.957425 1.957878 1.958330 1.958782 1.959234 1.959685 1.960137 1.960588 1.961039 1.961490 1.961941 1.962392 1.962842 1.963292 1.963742 1.964193 1.964642 1.965092 1.965541 1.965991 1.966440 1.966889 1.967338 1.967786 1.968235 1.968683 1.969131 1.969579 1.970027 52° 1.970027 1.970475 1.970922 1.971369 1.971816 1.972263 1.972710 1.973157 1.973603 1.974050 1.974496 1.974942 1.975388 1.975833 1.976279 1.976724 1.977169 1.977614 1.978059 1.978503 1.978948 1.979392 1.979836 1.980280 1.980724 1.981168 1.981611 1.982055 1.982498 1.982941 1.983383 1.983826 1.984268 1.984711 1.985153 1.985595 1.986037 1.986478 1.986920 1.987361 1.987802 1.988243 1.988684 1.989124 1.989565 1.990005 1.990445 1.990885 1.991325 1.991764 1.992204 1.992643 1.993082 1.993521 1.993960 1.994398 1.994837 1.995275 1.995713 1.996151 1.996589 53° 1.996589 1.997026 1.997464 1.997901 1.998338 1.998775 1.999212 1.999648 2.000085 2.000521 2.000957 2.001393 2.001828 2.002264 2.002699 2.003134 2.003570 2.004004 2.004439 2.004874 2.005308 2.005742 2.006176 2.006610 2.007044 2.007477 2.007910 2.008344 2.008777 2.009210 2.009642 2.010075 2.010507 2.010939 2.011371 2.011803 2.012234 2.012666 2.013097 2.013528 2.013959 2.014390 2.014821 2.015251 2.015682 2.016112 2.016541 2.016971 2.017401 2.017830 2.018260 2.018688 2.019117 2.019546 2.019975 2.020403 2.020831 2.021259 2.021687 2.022115 2.022542 54° 2.022542 2.022970 2.023397 2.023824 2.024251 2.024678 2.025104 2.025530 2.025957 2.026383 2.026809 2.027234 2.027660 2.028085 2.028510 2.028935 2.029360 2.029784 2.030209 2.030633 2.031057 2.031481 2.031905 2.032329 2.032752 2.033175 2.033598 2.034021 2.034444 2.034867 2.035289 2.035711 2.036133 2.036555 2.036977 2.037398 2.037819 2.038241 2.038662 2.039083 2.039503 2.039924 2.040344 2.040764 2.041184 2.041604 2.042024 2.042443 2.042862 2.043281 2.043700 2.044119 2.044538 2.044956 2.045374 2.045792 2.046210 2.046628 2.047045 2.047463 2.047880 Copyright 2004, Industrial Press, Inc., New York, NY 55° 2.047880 2.048297 2.048714 2.049131 2.049547 2.049963 2.050380 2.050796 2.051212 2.051627 2.052043 2.052458 2.052873 2.053288 2.053703 2.054117 2.054532 2.054946 2.055360 2.055774 2.056188 2.056601 2.057015 2.057428 2.057841 2.058254 2.058666 2.059079 2.059491 2.059904 2.060316 2.060727 2.061139 2.061550 2.061962 2.062373 2.062784 2.063195 2.063605 2.064016 2.064426 2.064836 2.065246 2.065655 2.066065 2.066474 2.066884 2.067293 2.067701 2.068110 2.068519 2.068927 2.069335 2.069743 2.070151 2.070559 2.070966 2.071373 2.071780 2.072187 2.072594 Machinery's Handbook 27th Edition 2798 SINE BAR CONSTANTS Constants for 3-inch Sine-Bar Constants for Setting a 3-inch Sine-Bar for 0° to 7° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 0° 0.000000 0.000873 0.001745 0.002618 0.003491 0.004363 0.005236 0.006109 0.006981 0.007854 0.008727 0.009599 0.010472 0.011345 0.012217 0.013090 0.013963 0.014835 0.015708 0.016581 0.017453 0.018326 0.019198 0.020071 0.020944 0.021816 0.022689 0.023562 0.024434 0.025307 0.026180 0.027052 0.027925 0.028797 0.029670 0.030543 0.031415 0.032288 0.033161 0.034033 0.034906 0.035778 0.036651 0.037524 0.038396 0.039269 0.040141 0.041014 0.041887 0.042759 0.043632 0.044504 0.045377 0.046249 0.047122 0.047995 0.048867 0.049740 0.050612 0.051485 0.052357 1° 0.052357 0.053230 0.054102 0.054975 0.055847 0.056720 0.057592 0.058465 0.059337 0.060210 0.061082 0.061955 0.062827 0.063700 0.064572 0.065445 0.066317 0.067190 0.068062 0.068934 0.069807 0.070679 0.071552 0.072424 0.073297 0.074169 0.075041 0.075914 0.076786 0.077658 0.078531 0.079403 0.080276 0.081148 0.082020 0.082893 0.083765 0.084637 0.085510 0.086382 0.087254 0.088126 0.088999 0.089871 0.090743 0.091616 0.092488 0.093360 0.094232 0.095105 0.095977 0.096849 0.097721 0.098593 0.099466 0.100338 0.101210 0.102082 0.102954 0.103826 0.104698 2° 0.104698 0.105571 0.106443 0.107315 0.108187 0.109059 0.109931 0.110803 0.111675 0.112547 0.113419 0.114291 0.115163 0.116035 0.116907 0.117779 0.118651 0.119523 0.120395 0.121267 0.122139 0.123011 0.123883 0.124755 0.125627 0.126499 0.127371 0.128243 0.129114 0.129986 0.130858 0.131730 0.132602 0.133474 0.134345 0.135217 0.136089 0.136961 0.137832 0.138704 0.139576 0.140448 0.141319 0.142191 0.143063 0.143934 0.144806 0.145678 0.146549 0.147421 0.148293 0.149164 0.150036 0.150907 0.151779 0.152650 0.153522 0.154393 0.155265 0.156136 0.157008 3° 0.157008 0.157879 0.158751 0.159622 0.160494 0.161365 0.162236 0.163108 0.163979 0.164851 0.165722 0.166593 0.167465 0.168336 0.169207 0.170078 0.170950 0.171821 0.172692 0.173563 0.174434 0.175306 0.176177 0.177048 0.177919 0.178790 0.179661 0.180532 0.181404 0.182275 0.183146 0.184017 0.184888 0.185759 0.186630 0.187501 0.188372 0.189242 0.190113 0.190984 0.191855 0.192726 0.193597 0.194468 0.195339 0.196209 0.197080 0.197951 0.198822 0.199692 0.200563 0.201434 0.202305 0.203175 0.204046 0.204917 0.205787 0.206658 0.207528 0.208399 0.209269 4° 0.209269 0.210140 0.211010 0.211881 0.212751 0.213622 0.214492 0.215363 0.216233 0.217104 0.217974 0.218844 0.219715 0.220585 0.221455 0.222325 0.223196 0.224066 0.224936 0.225806 0.226677 0.227547 0.228417 0.229287 0.230157 0.231027 0.231897 0.232767 0.233637 0.234507 0.235377 0.236247 0.237117 0.237987 0.238857 0.239727 0.240597 0.241467 0.242336 0.243206 0.244076 0.244946 0.245816 0.246685 0.247555 0.248425 0.249294 0.250164 0.251034 0.251903 0.252773 0.253642 0.254512 0.255381 0.256251 0.257120 0.257990 0.258859 0.259728 0.260598 0.261467 5° 0.261467 0.262337 0.263206 0.264075 0.264944 0.265814 0.266683 0.267552 0.268421 0.269290 0.270160 0.271029 0.271898 0.272767 0.273636 0.274505 0.275374 0.276243 0.277112 0.277981 0.278850 0.279718 0.280587 0.281456 0.282325 0.283194 0.284062 0.284931 0.285800 0.286669 0.287537 0.288406 0.289275 0.290143 0.291012 0.291880 0.292749 0.293617 0.294486 0.295354 0.296223 0.297091 0.297959 0.298828 0.299696 0.300564 0.301432 0.302301 0.303169 0.304037 0.304905 0.305773 0.306641 0.307510 0.308378 0.309246 0.310114 0.310982 0.311850 0.312717 0.313585 6° 0.313585 0.314453 0.315321 0.316189 0.317057 0.317924 0.318792 0.319660 0.320528 0.321395 0.322263 0.323131 0.323998 0.324866 0.325733 0.326601 0.327468 0.328336 0.329203 0.330070 0.330938 0.331805 0.332672 0.333540 0.334407 0.335274 0.336141 0.337008 0.337875 0.338743 0.339610 0.340477 0.341344 0.342211 0.343078 0.343945 0.344811 0.345678 0.346545 0.347412 0.348279 0.349146 0.350012 0.350879 0.351746 0.352612 0.353479 0.354345 0.355212 0.356078 0.356945 0.357811 0.358678 0.359544 0.360411 0.361277 0.362143 0.363009 0.363876 0.364742 0.365608 Copyright 2004, Industrial Press, Inc., New York, NY 7° 0.365608 0.366474 0.367340 0.368206 0.369072 0.369938 0.370804 0.371670 0.372536 0.373402 0.374268 0.375134 0.376000 0.376865 0.377731 0.378597 0.379463 0.380328 0.381194 0.382059 0.382925 0.383790 0.384656 0.385521 0.386387 0.387252 0.388118 0.388983 0.389848 0.390713 0.391579 0.392444 0.393309 0.394174 0.395039 0.395904 0.396769 0.397634 0.398499 0.399364 0.400229 0.401094 0.401959 0.402823 0.403688 0.404553 0.405418 0.406282 0.407147 0.408011 0.408876 0.409740 0.410605 0.411469 0.412334 0.413198 0.414062 0.414927 0.415791 0.416655 0.417519 Machinery's Handbook 27th Edition SINE BAR CONSTANTS 2799 Constants for Setting a 3-inch Sine-Bar for 8° to 15° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 8° 0.417519 0.418383 0.419248 0.420112 0.420976 0.421840 0.422704 0.423568 0.424432 0.425295 0.426159 0.427023 0.427887 0.428751 0.429614 0.430478 0.431341 0.432205 0.433069 0.433932 0.434796 0.435659 0.436522 0.437386 0.438249 0.439112 0.439976 0.440839 0.441702 0.442565 0.443428 0.444291 0.445154 0.446017 0.446880 0.447743 0.448606 0.449469 0.450332 0.451194 0.452057 0.452920 0.453782 0.454645 0.455508 0.456370 0.457233 0.458095 0.458958 0.459820 0.460682 0.461545 0.462407 0.463269 0.464131 0.464993 0.465855 0.466717 0.467579 0.468441 0.469303 9° 0.469303 0.470165 0.471027 0.471889 0.472751 0.473612 0.474474 0.475336 0.476197 0.477059 0.477921 0.478782 0.479644 0.480505 0.481366 0.482228 0.483089 0.483950 0.484811 0.485673 0.486534 0.487395 0.488256 0.489117 0.489978 0.490839 0.491700 0.492561 0.493421 0.494282 0.495143 0.496004 0.496864 0.497725 0.498585 0.499446 0.500306 0.501167 0.502027 0.502887 0.503748 0.504608 0.505468 0.506328 0.507188 0.508049 0.508909 0.509769 0.510629 0.511488 0.512348 0.513208 0.514068 0.514928 0.515787 0.516647 0.517507 0.518366 0.519226 0.520085 0.520945 10° 0.520945 0.521804 0.522663 0.523523 0.524382 0.525241 0.526100 0.526959 0.527818 0.528677 0.529536 0.530395 0.531254 0.532113 0.532972 0.533831 0.534689 0.535548 0.536407 0.537265 0.538124 0.538982 0.539841 0.540699 0.541557 0.542416 0.543274 0.544132 0.544990 0.545849 0.546707 0.547565 0.548423 0.549281 0.550138 0.550996 0.551854 0.552712 0.553569 0.554427 0.555285 0.556142 0.557000 0.557857 0.558715 0.559572 0.560429 0.561287 0.562144 0.563001 0.563858 0.564715 0.565572 0.566429 0.567286 0.568143 0.569000 0.569857 0.570714 0.571570 0.572427 11° 0.572427 0.573284 0.574140 0.574997 0.575853 0.576710 0.577566 0.578422 0.579278 0.580135 0.580991 0.581847 0.582703 0.583559 0.584415 0.585271 0.586127 0.586983 0.587838 0.588694 0.589550 0.590405 0.591261 0.592117 0.592972 0.593827 0.594683 0.595538 0.596393 0.597249 0.598104 0.598959 0.599814 0.600669 0.601524 0.602379 0.603234 0.604089 0.604943 0.605798 0.606653 0.607507 0.608362 0.609216 0.610071 0.610925 0.611780 0.612634 0.613488 0.614342 0.615197 0.616051 0.616905 0.617759 0.618613 0.619466 0.620320 0.621174 0.622028 0.622881 0.623735 12° 0.623735 0.624589 0.625442 0.626296 0.627149 0.628002 0.628856 0.629709 0.630562 0.631415 0.632268 0.633121 0.633974 0.634827 0.635680 0.636533 0.637386 0.638239 0.639091 0.639944 0.640796 0.641649 0.642501 0.643354 0.644206 0.645058 0.645911 0.646763 0.647615 0.648467 0.649319 0.650171 0.651023 0.651875 0.652726 0.653578 0.654430 0.655281 0.656133 0.656984 0.657836 0.658687 0.659539 0.660390 0.661241 0.662092 0.662943 0.663795 0.664645 0.665496 0.666347 0.667198 0.668049 0.668900 0.669750 0.670601 0.671452 0.672302 0.673152 0.674003 0.674853 13° 0.674853 0.675703 0.676554 0.677404 0.678254 0.679104 0.679954 0.680804 0.681654 0.682504 0.683353 0.684203 0.685053 0.685902 0.686752 0.687601 0.688451 0.689300 0.690149 0.690998 0.691848 0.692697 0.693546 0.694395 0.695244 0.696093 0.696941 0.697790 0.698639 0.699488 0.700336 0.701185 0.702033 0.702882 0.703730 0.704578 0.705426 0.706275 0.707123 0.707971 0.708819 0.709667 0.710514 0.711362 0.712210 0.713058 0.713905 0.714753 0.715600 0.716448 0.717295 0.718143 0.718990 0.719837 0.720684 0.721531 0.722378 0.723225 0.724072 0.724919 0.725766 14° 0.725766 0.726612 0.727459 0.728306 0.729152 0.729999 0.730845 0.731691 0.732538 0.733384 0.734230 0.735076 0.735922 0.736768 0.737614 0.738460 0.739306 0.740151 0.740997 0.741843 0.742688 0.743534 0.744379 0.745224 0.746070 0.746915 0.747760 0.748605 0.749450 0.750295 0.751140 0.751985 0.752830 0.753674 0.754519 0.755364 0.756208 0.757053 0.757897 0.758741 0.759586 0.760430 0.761274 0.762118 0.762962 0.763806 0.764650 0.765494 0.766337 0.767181 0.768025 0.768868 0.769712 0.770555 0.771398 0.772242 0.773085 0.773928 0.774771 0.775614 0.776457 Copyright 2004, Industrial Press, Inc., New York, NY 15° 0.776457 0.777300 0.778143 0.778986 0.779828 0.780671 0.781514 0.782356 0.783198 0.784041 0.784883 0.785725 0.786568 0.787410 0.788252 0.789094 0.789936 0.790777 0.791619 0.792461 0.793302 0.794144 0.794986 0.795827 0.796668 0.797510 0.798351 0.799192 0.800033 0.800874 0.801715 0.802556 0.803397 0.804238 0.805078 0.805919 0.806759 0.807600 0.808440 0.809281 0.810121 0.810961 0.811801 0.812641 0.813481 0.814321 0.815161 0.816001 0.816841 0.817680 0.818520 0.819360 0.820199 0.821038 0.821878 0.822717 0.823556 0.824395 0.825234 0.826073 0.826912 Machinery's Handbook 27th Edition 2800 SINE BAR CONSTANTS Constants for Setting a 3-inch Sine-Bar for 16° to 23° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 16° 0.826912 0.827751 0.828590 0.829428 0.830267 0.831106 0.831944 0.832782 0.833621 0.834459 0.835297 0.836135 0.836973 0.837811 0.838649 0.839487 0.840325 0.841163 0.842000 0.842838 0.843675 0.844513 0.845350 0.846187 0.847024 0.847861 0.848698 0.849536 0.850372 0.851209 0.852046 0.852883 0.853719 0.854556 0.855392 0.856229 0.857065 0.857901 0.858738 0.859574 0.860410 0.861246 0.862082 0.862917 0.863753 0.864589 0.865424 0.866260 0.867095 0.867931 0.868766 0.869601 0.870436 0.871272 0.872107 0.872941 0.873776 0.874611 0.875446 0.876281 0.877115 17° 0.877115 0.877950 0.878784 0.879618 0.880453 0.881287 0.882121 0.882955 0.883789 0.884623 0.885457 0.886290 0.887124 0.887958 0.888791 0.889625 0.890458 0.891291 0.892125 0.892958 0.893791 0.894624 0.895457 0.896290 0.897122 0.897955 0.898788 0.899620 0.900453 0.901285 0.902117 0.902950 0.903782 0.904614 0.905446 0.906278 0.907110 0.907941 0.908773 0.909605 0.910436 0.911268 0.912099 0.912931 0.913762 0.914593 0.915424 0.916255 0.917086 0.917917 0.918748 0.919578 0.920409 0.921239 0.922070 0.922900 0.923731 0.924561 0.925391 0.926221 0.927051 18° 0.927051 0.927881 0.928711 0.929540 0.930370 0.931200 0.932029 0.932859 0.933688 0.934517 0.935347 0.936176 0.937005 0.937834 0.938663 0.939491 0.940320 0.941149 0.941977 0.942806 0.943634 0.944463 0.945291 0.946119 0.946947 0.947775 0.948603 0.949431 0.950259 0.951086 0.951914 0.952742 0.953569 0.954396 0.955224 0.956051 0.956878 0.957705 0.958532 0.959359 0.960186 0.961012 0.961839 0.962666 0.963492 0.964318 0.965145 0.965971 0.966797 0.967623 0.968449 0.969275 0.970101 0.970927 0.971752 0.972578 0.973403 0.974229 0.975054 0.975879 0.976704 19° 0.976704 0.977530 0.978355 0.979179 0.980004 0.980829 0.981654 0.982478 0.983303 0.984127 0.984951 0.985776 0.986600 0.987424 0.988248 0.989072 0.989896 0.990719 0.991543 0.992367 0.993190 0.994014 0.994837 0.995660 0.996483 0.997306 0.998129 0.998952 0.999775 1.000598 1.001421 1.002243 1.003066 1.003888 1.004710 1.005533 1.006355 1.007177 1.007999 1.008821 1.009642 1.010464 1.011286 1.012107 1.012929 1.013750 1.014571 1.015393 1.016214 1.017035 1.017856 1.018677 1.019497 1.020318 1.021139 1.021959 1.022780 1.023600 1.024420 1.025240 1.026060 20° 1.026060 1.026880 1.027700 1.028520 1.029340 1.030160 1.030979 1.031799 1.032618 1.033437 1.034256 1.035076 1.035895 1.036714 1.037532 1.038351 1.039170 1.039988 1.040807 1.041625 1.042444 1.043262 1.044080 1.044898 1.045716 1.046534 1.047352 1.048170 1.048987 1.049805 1.050622 1.051440 1.052257 1.053074 1.053891 1.054708 1.055525 1.056342 1.057158 1.057975 1.058792 1.059608 1.060425 1.061241 1.062057 1.062873 1.063689 1.064505 1.065321 1.066137 1.066952 1.067768 1.068583 1.069399 1.070214 1.071029 1.071844 1.072659 1.073474 1.074289 1.075104 21° 1.075104 1.075919 1.076733 1.077548 1.078362 1.079176 1.079991 1.080805 1.081619 1.082433 1.083246 1.084060 1.084874 1.085687 1.086501 1.087314 1.088127 1.088941 1.089754 1.090567 1.091380 1.092193 1.093005 1.093818 1.094630 1.095443 1.096255 1.097067 1.097880 1.098692 1.099504 1.100316 1.101127 1.101939 1.102751 1.103562 1.104374 1.105185 1.105996 1.106807 1.107618 1.108429 1.109240 1.110051 1.110862 1.111672 1.112483 1.113293 1.114104 1.114914 1.115724 1.116534 1.117344 1.118154 1.118963 1.119773 1.120583 1.121392 1.122201 1.123011 1.123820 22° 1.123820 1.124629 1.125438 1.126247 1.127056 1.127864 1.128673 1.129481 1.130290 1.131098 1.131906 1.132714 1.133522 1.134330 1.135138 1.135946 1.136754 1.137561 1.138368 1.139176 1.139983 1.140790 1.141597 1.142404 1.143211 1.144018 1.144825 1.145631 1.146438 1.147244 1.148050 1.148857 1.149663 1.150469 1.151275 1.152080 1.152886 1.153692 1.154497 1.155303 1.156108 1.156913 1.157718 1.158523 1.159328 1.160133 1.160938 1.161742 1.162547 1.163351 1.164156 1.164960 1.165764 1.166568 1.167372 1.168176 1.168979 1.169783 1.170587 1.171390 1.172193 Copyright 2004, Industrial Press, Inc., New York, NY 23° 1.172193 1.172997 1.173800 1.174603 1.175406 1.176209 1.177011 1.177814 1.178617 1.179419 1.180221 1.181024 1.181826 1.182628 1.183430 1.184232 1.185033 1.185835 1.186636 1.187438 1.188239 1.189041 1.189842 1.190643 1.191444 1.192245 1.193045 1.193846 1.194646 1.195447 1.196247 1.197047 1.197848 1.198648 1.199448 1.200247 1.201047 1.201847 1.202646 1.203446 1.204245 1.205044 1.205843 1.206642 1.207441 1.208240 1.209039 1.209837 1.210636 1.211434 1.212233 1.213031 1.213829 1.214627 1.215425 1.216223 1.217020 1.217818 1.218615 1.219413 1.220210 Machinery's Handbook 27th Edition SINE BAR CONSTANTS 2801 Constants for Setting a 3-inch Sine-Bar for 24° to 31° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 24° 1.220210 1.221007 1.221804 1.222601 1.223398 1.224195 1.224991 1.225788 1.226584 1.227381 1.228177 1.228973 1.229769 1.230565 1.231361 1.232157 1.232952 1.233748 1.234543 1.235338 1.236134 1.236929 1.237724 1.238519 1.239313 1.240108 1.240903 1.241697 1.242491 1.243286 1.244080 1.244874 1.245668 1.246462 1.247255 1.248049 1.248842 1.249636 1.250429 1.251222 1.252015 1.252808 1.253601 1.254394 1.255187 1.255979 1.256772 1.257564 1.258356 1.259148 1.259941 1.260732 1.261524 1.262316 1.263107 1.263899 1.264690 1.265482 1.266273 1.267064 1.267855 25° 1.267855 1.268646 1.269436 1.270227 1.271018 1.271808 1.272598 1.273389 1.274179 1.274969 1.275758 1.276548 1.277338 1.278127 1.278917 1.279706 1.280496 1.281285 1.282074 1.282863 1.283651 1.284440 1.285229 1.286017 1.286805 1.287594 1.288382 1.289170 1.289958 1.290746 1.291533 1.292321 1.293108 1.293896 1.294683 1.295470 1.296257 1.297044 1.297831 1.298618 1.299404 1.300191 1.300977 1.301764 1.302550 1.303336 1.304122 1.304908 1.305693 1.306479 1.307264 1.308050 1.308835 1.309620 1.310405 1.311190 1.311975 1.312760 1.313545 1.314329 1.315113 26° 1.315113 1.315898 1.316682 1.317466 1.318250 1.319034 1.319818 1.320601 1.321385 1.322168 1.322951 1.323735 1.324518 1.325301 1.326083 1.326866 1.327649 1.328431 1.329214 1.329996 1.330778 1.331560 1.332342 1.333124 1.333906 1.334687 1.335469 1.336250 1.337031 1.337812 1.338593 1.339374 1.340155 1.340936 1.341717 1.342497 1.343277 1.344058 1.344838 1.345618 1.346398 1.347177 1.347957 1.348737 1.349516 1.350295 1.351075 1.351854 1.352633 1.353412 1.354190 1.354969 1.355747 1.356526 1.357304 1.358082 1.358860 1.359638 1.360416 1.361194 1.361971 27° 1.361971 1.362749 1.363526 1.364304 1.365081 1.365858 1.366635 1.367412 1.368188 1.368965 1.369741 1.370518 1.371294 1.372070 1.372846 1.373622 1.374398 1.375173 1.375949 1.376724 1.377499 1.378275 1.379050 1.379825 1.380599 1.381374 1.382149 1.382923 1.383698 1.384472 1.385246 1.386020 1.386794 1.387568 1.388341 1.389115 1.389888 1.390661 1.391435 1.392208 1.392981 1.393753 1.394526 1.395299 1.396071 1.396844 1.397616 1.398388 1.399160 1.399932 1.400704 1.401475 1.402247 1.403018 1.403790 1.404561 1.405332 1.406103 1.406873 1.407644 1.408415 28° 1.408415 1.409185 1.409956 1.410726 1.411496 1.412266 1.413036 1.413805 1.414575 1.415344 1.416114 1.416883 1.417652 1.418421 1.419190 1.419959 1.420728 1.421496 1.422265 1.423033 1.423801 1.424569 1.425337 1.426105 1.426873 1.427640 1.428408 1.429175 1.429942 1.430709 1.431476 1.432243 1.433010 1.433776 1.434543 1.435309 1.436076 1.436842 1.437608 1.438374 1.439139 1.439905 1.440671 1.441436 1.442201 1.442966 1.443731 1.444496 1.445261 1.446026 1.446790 1.447555 1.448319 1.449083 1.449847 1.450611 1.451375 1.452139 1.452902 1.453666 1.454429 29° 1.454429 1.455192 1.455955 1.456718 1.457481 1.458244 1.459006 1.459769 1.460531 1.461293 1.462055 1.462817 1.463579 1.464341 1.465102 1.465864 1.466625 1.467386 1.468147 1.468908 1.469669 1.470430 1.471190 1.471951 1.472711 1.473472 1.474232 1.474992 1.475751 1.476511 1.477271 1.478030 1.478789 1.479549 1.480308 1.481067 1.481826 1.482584 1.483343 1.484101 1.484860 1.485618 1.486376 1.487134 1.487892 1.488650 1.489407 1.490165 1.490922 1.491679 1.492436 1.493193 1.493950 1.494707 1.495463 1.496220 1.496976 1.497732 1.498488 1.499244 1.500000 30° 1.500000 1.500756 1.501511 1.502267 1.503022 1.503777 1.504532 1.505287 1.506042 1.506797 1.507551 1.508306 1.509060 1.509814 1.510568 1.511322 1.512076 1.512829 1.513583 1.514336 1.515090 1.515843 1.516596 1.517349 1.518101 1.518854 1.519606 1.520359 1.521111 1.521863 1.522615 1.523367 1.524119 1.524870 1.525622 1.526373 1.527124 1.527875 1.528626 1.529377 1.530128 1.530878 1.531629 1.532379 1.533129 1.533879 1.534629 1.535379 1.536129 1.536878 1.537628 1.538377 1.539126 1.539875 1.540624 1.541373 1.542121 1.542870 1.543618 1.544366 1.545114 Copyright 2004, Industrial Press, Inc., New York, NY 31° 1.545114 1.545862 1.546610 1.547358 1.548105 1.548853 1.549600 1.550347 1.551094 1.551841 1.552588 1.553334 1.554081 1.554827 1.555574 1.556320 1.557066 1.557812 1.558557 1.559303 1.560048 1.560794 1.561539 1.562284 1.563029 1.563774 1.564518 1.565263 1.566007 1.566752 1.567496 1.568240 1.568984 1.569727 1.570471 1.571214 1.571958 1.572701 1.573444 1.574187 1.574930 1.575672 1.576415 1.577157 1.577900 1.578642 1.579384 1.580126 1.580867 1.581609 1.582350 1.583092 1.583833 1.584574 1.585315 1.586056 1.586797 1.587537 1.588277 1.589018 1.589758 Machinery's Handbook 27th Edition 2802 SINE BAR CONSTANTS Constants for Setting a 3-inch Sine-Bar for 32° to 39° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 32° 1.589758 1.590498 1.591238 1.591977 1.592717 1.593456 1.594196 1.594935 1.595674 1.596413 1.597152 1.597890 1.598629 1.599367 1.600106 1.600844 1.601582 1.602319 1.603057 1.603795 1.604532 1.605269 1.606007 1.606744 1.607481 1.608217 1.608954 1.609690 1.610427 1.611163 1.611899 1.612635 1.613371 1.614106 1.614842 1.615577 1.616312 1.617047 1.617783 1.618517 1.619252 1.619987 1.620721 1.621455 1.622189 1.622923 1.623657 1.624391 1.625125 1.625858 1.626591 1.627325 1.628058 1.628791 1.629524 1.630256 1.630989 1.631721 1.632453 1.633185 1.633917 33° 1.633917 1.634649 1.635381 1.636112 1.636844 1.637575 1.638306 1.639037 1.639768 1.640499 1.641229 1.641959 1.642690 1.643420 1.644150 1.644880 1.645609 1.646339 1.647069 1.647798 1.648527 1.649256 1.649985 1.650714 1.651442 1.652171 1.652899 1.653627 1.654355 1.655083 1.655811 1.656539 1.657266 1.657993 1.658721 1.659448 1.660175 1.660901 1.661628 1.662355 1.663081 1.663807 1.664533 1.665259 1.665985 1.666711 1.667436 1.668162 1.668887 1.669612 1.670337 1.671062 1.671786 1.672511 1.673235 1.673960 1.674684 1.675408 1.676131 1.676855 1.677579 34° 1.677579 1.678302 1.679025 1.679749 1.680471 1.681194 1.681917 1.682639 1.683362 1.684084 1.684806 1.685528 1.686250 1.686972 1.687693 1.688415 1.689136 1.689857 1.690578 1.691299 1.692020 1.692740 1.693461 1.694181 1.694901 1.695621 1.696341 1.697061 1.697780 1.698500 1.699219 1.699938 1.700657 1.701376 1.702094 1.702813 1.703531 1.704250 1.704968 1.705686 1.706403 1.707121 1.707839 1.708556 1.709273 1.709990 1.710707 1.711424 1.712141 1.712857 1.713574 1.714290 1.715006 1.715722 1.716438 1.717153 1.717869 1.718584 1.719299 1.720014 1.720729 35° 1.720729 1.721444 1.722159 1.722873 1.723588 1.724302 1.725016 1.725730 1.726444 1.727157 1.727871 1.728584 1.729297 1.730010 1.730723 1.731436 1.732148 1.732861 1.733573 1.734285 1.734997 1.735709 1.736421 1.737132 1.737844 1.738555 1.739266 1.739977 1.740688 1.741398 1.742109 1.742819 1.743529 1.744240 1.744949 1.745659 1.746369 1.747078 1.747788 1.748497 1.749206 1.749915 1.750624 1.751332 1.752041 1.752749 1.753457 1.754165 1.754873 1.755581 1.756288 1.756996 1.757703 1.758410 1.759117 1.759824 1.760531 1.761237 1.761944 1.762650 1.763356 36° 1.763356 1.764062 1.764768 1.765473 1.766179 1.766884 1.767589 1.768294 1.768999 1.769704 1.770408 1.771113 1.771817 1.772521 1.773225 1.773929 1.774633 1.775336 1.776040 1.776743 1.777446 1.778149 1.778852 1.779554 1.780257 1.780959 1.781661 1.782363 1.783065 1.783767 1.784468 1.785170 1.785871 1.786572 1.787273 1.787974 1.788675 1.789375 1.790076 1.790776 1.791476 1.792176 1.792876 1.793575 1.794275 1.794974 1.795673 1.796372 1.797071 1.797770 1.798468 1.799166 1.799865 1.800563 1.801261 1.801959 1.802656 1.803354 1.804051 1.804748 1.805445 37° 1.805445 1.806142 1.806839 1.807535 1.808232 1.808928 1.809624 1.810320 1.811016 1.811711 1.812407 1.813102 1.813797 1.814492 1.815187 1.815882 1.816577 1.817271 1.817965 1.818659 1.819353 1.820047 1.820741 1.821434 1.822128 1.822821 1.823514 1.824207 1.824899 1.825592 1.826284 1.826977 1.827669 1.828361 1.829052 1.829744 1.830436 1.831127 1.831818 1.832509 1.833200 1.833891 1.834581 1.835272 1.835962 1.836652 1.837342 1.838032 1.838721 1.839411 1.840100 1.840789 1.841478 1.842167 1.842856 1.843544 1.844233 1.844921 1.845609 1.846297 1.846985 38° 1.846985 1.847672 1.848359 1.849047 1.849734 1.850421 1.851108 1.851794 1.852481 1.853167 1.853853 1.854539 1.855225 1.855911 1.856596 1.857282 1.857967 1.858652 1.859337 1.860022 1.860706 1.861391 1.862075 1.862759 1.863443 1.864127 1.864811 1.865494 1.866178 1.866861 1.867544 1.868227 1.868909 1.869592 1.870274 1.870957 1.871639 1.872321 1.873003 1.873684 1.874366 1.875047 1.875728 1.876409 1.877090 1.877770 1.878451 1.879131 1.879811 1.880491 1.881171 1.881851 1.882531 1.883210 1.883889 1.884568 1.885247 1.885926 1.886605 1.887283 1.887961 Copyright 2004, Industrial Press, Inc., New York, NY 39° 1.887961 1.888639 1.889317 1.889995 1.890673 1.891350 1.892027 1.892704 1.893382 1.894058 1.894735 1.895412 1.896088 1.896764 1.897440 1.898116 1.898792 1.899467 1.900143 1.900818 1.901493 1.902168 1.902843 1.903517 1.904192 1.904866 1.905540 1.906214 1.906888 1.907561 1.908235 1.908908 1.909581 1.910254 1.910927 1.911600 1.912272 1.912944 1.913617 1.914289 1.914960 1.915632 1.916304 1.916975 1.917646 1.918317 1.918988 1.919659 1.920329 1.921000 1.921670 1.922340 1.923010 1.923679 1.924349 1.925018 1.925688 1.926357 1.927026 1.927694 1.928363 Machinery's Handbook 27th Edition SINE BAR CONSTANTS 2803 Constants for Setting a 3-inch Sine-Bar for 40° to 47° Min 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 40° 1.928363 1.929031 1.929700 1.930368 1.931036 1.931703 1.932371 1.933038 1.933706 1.934373 1.935040 1.935706 1.936373 1.937040 1.937706 1.938372 1.939038 1.939704 1.940369 1.941035 1.941700 1.942365 1.943030 1.943695 1.944360 1.945024 1.945689 1.946353 1.947017 1.947681 1.948344 1.949008 1.949671 1.950334 1.950997 1.951660 1.952323 1.952985 1.953648 1.954310 1.954972 1.955634 1.956295 1.956957 1.957618 1.958279 1.958940 1.959601 1.960262 1.960922 1.961583 1.962243 1.962903 1.963563 1.964223 1.964882 1.965541 1.966201 1.966860 1.967518 1.968177 41° 1.968177 1.968836 1.969494 1.970152 1.970810 1.971468 1.972126 1.972783 1.973441 1.974098 1.974755 1.975412 1.976068 1.976725 1.977381 1.978037 1.978693 1.979349 1.980005 1.980661 1.981316 1.981971 1.982626 1.983281 1.983936 1.984590 1.985245 1.985899 1.986553 1.987207 1.987860 1.988514 1.989167 1.989820 1.990473 1.991126 1.991779 1.992431 1.993084 1.993736 1.994388 1.995039 1.995691 1.996343 1.996994 1.997645 1.998296 1.998947 1.999597 2.000248 2.000898 2.001548 2.002198 2.002848 2.003498 2.004147 2.004797 2.005445 2.006094 2.006743 2.007392 42° 2.007392 2.008040 2.008688 2.009337 2.009984 2.010632 2.011280 2.011927 2.012575 2.013222 2.013869 2.014515 2.015162 2.015808 2.016454 2.017101 2.017746 2.018392 2.019037 2.019683 2.020328 2.020973 2.021618 2.022263 2.022907 2.023552 2.024196 2.024840 2.025484 2.026127 2.026771 2.027414 2.028057 2.028700 2.029343 2.029985 2.030628 2.031270 2.031912 2.032554 2.033196 2.033838 2.034479 2.035120 2.035761 2.036402 2.037043 2.037683 2.038324 2.038964 2.039604 2.040244 2.040884 2.041523 2.042163 2.042802 2.043441 2.044080 2.044718 2.045357 2.045995 43° 2.045995 2.046633 2.047271 2.047909 2.048547 2.049184 2.049821 2.050458 2.051095 2.051732 2.052369 2.053005 2.053641 2.054277 2.054913 2.055549 2.056185 2.056820 2.057455 2.058090 2.058725 2.059360 2.059994 2.060628 2.061263 2.061897 2.062530 2.063164 2.063797 2.064431 2.065064 2.065697 2.066329 2.066962 2.067594 2.068227 2.068859 2.069490 2.070122 2.070754 2.071385 2.072016 2.072647 2.073278 2.073909 2.074539 2.075170 2.075800 2.076430 2.077059 2.077689 2.078318 2.078948 2.079577 2.080206 2.080834 2.081463 2.082091 2.082719 2.083347 2.083975 44° 2.083975 2.084603 2.085230 2.085858 2.086485 2.087112 2.087738 2.088365 2.088991 2.089618 2.090244 2.090870 2.091495 2.092121 2.092746 2.093371 2.093997 2.094621 2.095246 2.095870 2.096495 2.097119 2.097743 2.098366 2.098990 2.099613 2.100237 2.100860 2.101483 2.102105 2.102728 2.103350 2.103972 2.104594 2.105216 2.105838 2.106459 2.107080 2.107702 2.108323 2.108943 2.109564 2.110184 2.110804 2.111424 2.112044 2.112664 2.113283 2.113903 2.114522 2.115141 2.115759 2.116378 2.116997 2.117615 2.118233 2.118851 2.119468 2.120086 2.120703 2.121320 45° 2.121320 2.121937 2.122554 2.123171 2.123787 2.124403 2.125020 2.125635 2.126251 2.126867 2.127482 2.128097 2.128712 2.129327 2.129942 2.130556 2.131171 2.131784 2.132398 2.133012 2.133626 2.134239 2.134852 2.135465 2.136078 2.136691 2.137303 2.137916 2.138528 2.139140 2.139751 2.140363 2.140974 2.141586 2.142197 2.142807 2.143418 2.144028 2.144639 2.145249 2.145859 2.146469 2.147078 2.147688 2.148297 2.148906 2.149515 2.150123 2.150732 2.151340 2.151948 2.152556 2.153164 2.153772 2.154379 2.154986 2.155593 2.156200 2.156807 2.157413 2.158020 46° 2.158020 2.158626 2.159231 2.159837 2.160443 2.161048 2.161653 2.162258 2.162863 2.163468 2.164072 2.164677 2.165281 2.165885 2.166488 2.167092 2.167695 2.168298 2.168901 2.169504 2.170107 2.170709 2.171312 2.171914 2.172516 2.173117 2.173719 2.174320 2.174922 2.175522 2.176123 2.176724 2.177324 2.177924 2.178524 2.179124 2.179724 2.180324 2.180923 2.181522 2.182121 2.182720 2.183318 2.183917 2.184515 2.185113 2.185711 2.186308 2.186906 2.187503 2.188100 2.188697 2.189294 2.189891 2.190487 2.191083 2.191679 2.192275 2.192870 2.193466 2.194061 Copyright 2004, Industrial Press, Inc., New York, NY 47° 2.194061 2.194656 2.195251 2.195846 2.196440 2.197035 2.197629 2.198223 2.198817 2.199410 2.200003 2.200597 2.201190 2.201782 2.202375 2.202968 2.203560 2.204152 2.204744 2.205336 2.205927 2.206518 2.207109 2.207700 2.208291 2.208882 2.209472 2.210063 2.210653 2.211242 2.211832 2.212421 2.213011 2.213600 2.214189 2.214777 2.215366 2.215954 2.216543 2.217131 2.217718 2.218306 2.218893 2.219481 2.220068 2.220654 2.221241 2.221828 2.222414 2.223000 2.223586 2.224171 2.224757 2.225343 2.225928 2.226513 2.227097 2.227682 2.228266 2.228851 2.229434 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2859 Powers, Roots, and Reciprocals From 751 to 800 No 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 Square 564001 565504 567009 568516 570025 571536 573049 574564 576081 577600 579121 580644 582169 583696 585225 586756 588289 589824 591361 592900 594441 595984 597529 599076 600625 602176 603729 605284 606841 608400 609961 611524 613089 614656 616225 617796 619369 620944 622521 624100 625681 627264 628849 630436 632025 633616 635209 636804 638401 640000 Cube 423564751 425259008 426957777 428661064 430368875 432081216 433798093 435519512 437245479 438976000 440711081 442450728 444194947 445943744 447697125 449455096 451217663 452984832 454756609 456533000 458314011 460099648 461889917 463684824 465484375 467288576 469097433 470910952 472729139 474552000 476379541 478211768 480048687 481890304 483736625 485587656 487443403 489303872 491169069 493039000 494913671 496793088 498677257 500566184 502459875 504358336 506261573 508169592 510082399 512000000 Sq Root 27.40438 27.42262 27.44085 27.45906 27.47726 27.49545 27.51363 27.53180 27.54995 27.56810 27.58623 27.60435 27.62245 27.64055 27.65863 27.67671 27.69476 27.71281 27.73085 27.74887 27.76689 27.78489 27.80288 27.82086 27.83882 27.85678 27.87472 27.89265 27.91057 27.92848 27.94638 27.96426 27.98214 28.00000 28.01785 28.03569 28.05352 28.07134 28.08914 28.10694 28.12472 28.14249 28.16026 28.17801 28.19574 28.21347 28.23119 28.24889 28.26659 28.28427 Cube Root 9.08964 9.09367 9.09770 9.10173 9.10575 9.10977 9.11378 9.11779 9.12180 9.12581 9.12981 9.13380 9.13780 9.14179 9.14577 9.14976 9.15374 9.15771 9.16169 9.16566 9.16962 9.17359 9.17754 9.18150 9.18545 9.18940 9.19335 9.19729 9.20123 9.20516 9.20910 9.21303 9.21695 9.22087 9.22479 9.22871 9.23262 9.23653 9.24043 9.24434 9.24823 9.25213 9.25602 9.25991 9.26380 9.26768 9.27156 9.27544 9.27931 9.28318 Reciprocal 0.0013316 0.0013298 0.0013280 0.0013263 0.0013245 0.0013228 0.0013210 0.0013193 0.0013175 0.0013158 0.0013141 0.0013123 0.0013106 0.0013089 0.0013072 0.0013055 0.0013038 0.0013021 0.0013004 0.0012987 0.0012970 0.0012953 0.0012937 0.0012920 0.0012903 0.0012887 0.0012870 0.0012853 0.0012837 0.0012821 0.0012804 0.0012788 0.0012771 0.0012755 0.0012739 0.0012723 0.0012706 0.0012690 0.0012674 0.0012658 0.0012642 0.0012626 0.0012610 0.0012594 0.0012579 0.0012563 0.0012547 0.0012531 0.0012516 0.0012500 Copyright 2004, Industrial Press, Inc., New York, NY No 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 Machinery's Handbook 27th Edition 2860 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 801 to 850 No 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 Square 641601 643204 644809 646416 648025 649636 651249 652864 654481 656100 657721 659344 660969 662596 664225 665856 667489 669124 670761 672400 674041 675684 677329 678976 680625 682276 683929 685584 687241 688900 690561 692224 693889 695556 697225 698896 700569 702244 703921 705600 707281 708964 710649 712336 714025 715716 717409 719104 720801 722500 Cube 513922401 515849608 517781627 519718464 521660125 523606616 525557943 527514112 529475129 531441000 533411731 535387328 537367797 539353144 541343375 543338496 545338513 547343432 549353259 551368000 553387661 555412248 557441767 559476224 561515625 563559976 565609283 567663552 569722789 571787000 573856191 575930368 578009537 580093704 582182875 584277056 586376253 588480472 590589719 592704000 594823321 596947688 599077107 601211584 603351125 605495736 607645423 609800192 611960049 614125000 Sq Root 28.30194 28.31960 28.33725 28.35489 28.37252 28.39014 28.40775 28.42534 28.44293 28.46050 28.47806 28.49561 28.51315 28.53069 28.54820 28.56571 28.58321 28.60070 28.61818 28.63564 28.65310 28.67054 28.68798 28.70540 28.72281 28.74022 28.75761 28.77499 28.79236 28.80972 28.82707 28.84441 28.86174 28.87906 28.89637 28.91366 28.93095 28.94823 28.96550 28.98275 29.00000 29.01724 29.03446 29.05168 29.06888 29.08608 29.10326 29.12044 29.13760 29.15476 Cube Root 9.28704 9.29091 9.29477 9.29862 9.30248 9.30633 9.31018 9.31402 9.31786 9.32170 9.32553 9.32936 9.33319 9.33702 9.34084 9.34466 9.34847 9.35229 9.35610 9.35990 9.36370 9.36751 9.37130 9.37510 9.37889 9.38268 9.38646 9.39024 9.39402 9.39780 9.40157 9.40534 9.40911 9.41287 9.41663 9.42039 9.42414 9.42789 9.43164 9.43539 9.43913 9.44287 9.44661 9.45034 9.45407 9.45780 9.46152 9.46525 9.46897 9.47268 Reciprocal 0.0012484 0.0012469 0.0012453 0.0012438 0.0012422 0.0012407 0.0012392 0.0012376 0.0012361 0.0012346 0.0012330 0.0012315 0.0012300 0.0012285 0.0012270 0.0012255 0.0012240 0.0012225 0.0012210 0.0012195 0.0012180 0.0012165 0.0012151 0.0012136 0.0012121 0.0012107 0.0012092 0.0012077 0.0012063 0.0012048 0.0012034 0.0012019 0.0012005 0.0011990 0.0011976 0.0011962 0.0011947 0.0011933 0.0011919 0.0011905 0.0011891 0.0011876 0.0011862 0.0011848 0.0011834 0.0011820 0.0011806 0.0011792 0.0011779 0.0011765 Copyright 2004, Industrial Press, Inc., New York, NY No 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2861 Powers, Roots, and Reciprocals From 851 to 900 No 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 Square 724201 725904 727609 729316 731025 732736 734449 736164 737881 739600 741321 743044 744769 746496 748225 749956 751689 753424 755161 756900 758641 760384 762129 763876 765625 767376 769129 770884 772641 774400 776161 777924 779689 781456 783225 784996 786769 788544 790321 792100 793881 795664 797449 799236 801025 802816 804609 806404 808201 810000 Cube 616295051 618470208 620650477 622835864 625026375 627222016 629422793 631628712 633839779 636056000 638277381 640503928 642735647 644972544 647214625 649461896 651714363 653972032 656234909 658503000 660776311 663054848 665338617 667627624 669921875 672221376 674526133 676836152 679151439 681472000 683797841 686128968 688465387 690807104 693154125 695506456 697864103 700227072 702595369 704969000 707347971 709732288 712121957 714516984 716917375 719323136 721734273 724150792 726572699 729000000 Sq Root 29.17190 29.18904 29.20616 29.22328 29.24038 29.25748 29.27456 29.29164 29.30870 29.32576 29.34280 29.35984 29.37686 29.39388 29.41088 29.42788 29.44486 29.46184 29.47881 29.49576 29.51271 29.52965 29.54657 29.56349 29.58040 29.59730 29.61419 29.63106 29.64793 29.66479 29.68164 29.69848 29.71532 29.73214 29.74895 29.76575 29.78255 29.79933 29.81610 29.83287 29.84962 29.86637 29.88311 29.89983 29.91655 29.93326 29.94996 29.96665 29.98333 30.00000 Cube Root 9.47640 9.48011 9.48381 9.48752 9.49122 9.49492 9.49861 9.50231 9.50600 9.50969 9.51337 9.51705 9.52073 9.52441 9.52808 9.53175 9.53542 9.53908 9.54274 9.54640 9.55006 9.55371 9.55736 9.56101 9.56466 9.56830 9.57194 9.57557 9.57921 9.58284 9.58647 9.59009 9.59372 9.59734 9.60095 9.60457 9.60818 9.61179 9.61540 9.61900 9.62260 9.62620 9.62980 9.63339 9.63698 9.64057 9.64415 9.64774 9.65132 9.65489 Reciprocal 0.0011751 0.0011737 0.0011723 0.0011710 0.0011696 0.0011682 0.0011669 0.0011655 0.0011641 0.0011628 0.0011614 0.0011601 0.0011587 0.0011574 0.0011561 0.0011547 0.0011534 0.0011521 0.0011507 0.0011494 0.0011481 0.0011468 0.0011455 0.0011442 0.0011429 0.0011416 0.0011403 0.0011390 0.0011377 0.0011364 0.0011351 0.0011338 0.0011325 0.0011312 0.0011299 0.0011287 0.0011274 0.0011261 0.0011249 0.0011236 0.0011223 0.0011211 0.0011198 0.0011186 0.0011173 0.0011161 0.0011148 0.0011136 0.0011123 0.0011111 Copyright 2004, Industrial Press, Inc., New York, NY No 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 Machinery's Handbook 27th Edition 2862 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 901 to 950 No 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 Square 811801 813604 815409 817216 819025 820836 822649 824464 826281 828100 829921 831744 833569 835396 837225 839056 840889 842724 844561 846400 848241 850084 851929 853776 855625 857476 859329 861184 863041 864900 866761 868624 870489 872356 874225 876096 877969 879844 881721 883600 885481 887364 889249 891136 893025 894916 896809 898704 900601 902500 Cube 731432701 733870808 736314327 738763264 741217625 743677416 746142643 748613312 751089429 753571000 756058031 758550528 761048497 763551944 766060875 768575296 771095213 773620632 776151559 778688000 781229961 783777448 786330467 788889024 791453125 794022776 796597983 799178752 801765089 804357000 806954491 809557568 812166237 814780504 817400375 820025856 822656953 825293672 827936019 830584000 833237621 835896888 838561807 841232384 843908625 846590536 849278123 851971392 854670349 857375000 Sq Root 30.01666 30.03331 30.04996 30.06659 30.08322 30.09983 30.11644 30.13304 30.14963 30.16621 30.18278 30.19934 30.21589 30.23243 30.24897 30.26549 30.28201 30.29851 30.31501 30.33150 30.34798 30.36445 30.38092 30.39737 30.41381 30.43025 30.44667 30.46309 30.47950 30.49590 30.51229 30.52868 30.54505 30.56141 30.57777 30.59412 30.61046 30.62679 30.64311 30.65942 30.67572 30.69202 30.70831 30.72458 30.74085 30.75711 30.77337 30.78961 30.80584 30.82207 Cube Root 9.65847 9.66204 9.66561 9.66918 9.67274 9.67630 9.67986 9.68342 9.68697 9.69052 9.69407 9.69762 9.70116 9.70470 9.70824 9.71177 9.71531 9.71884 9.72236 9.72589 9.72941 9.73293 9.73645 9.73996 9.74348 9.74699 9.75049 9.75400 9.75750 9.76100 9.76450 9.76799 9.77148 9.77497 9.77846 9.78195 9.78543 9.78891 9.79239 9.79586 9.79933 9.80280 9.80627 9.80974 9.81320 9.81666 9.82012 9.82357 9.82703 9.83048 Reciprocal 0.0011099 0.0011086 0.0011074 0.0011062 0.0011050 0.0011038 0.0011025 0.0011013 0.0011001 0.0010989 0.0010977 0.0010965 0.0010953 0.0010941 0.0010929 0.0010917 0.0010905 0.0010893 0.0010881 0.0010870 0.0010858 0.0010846 0.0010834 0.0010823 0.0010811 0.0010799 0.0010787 0.0010776 0.0010764 0.0010753 0.0010741 0.0010730 0.0010718 0.0010707 0.0010695 0.0010684 0.0010672 0.0010661 0.0010650 0.0010638 0.0010627 0.0010616 0.0010604 0.0010593 0.0010582 0.0010571 0.0010560 0.0010549 0.0010537 0.0010526 Copyright 2004, Industrial Press, Inc., New York, NY No 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2863 Powers, Roots, and Reciprocals From 951 to 1000 No 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 Square 904401 906304 908209 910116 912025 913936 915849 917764 919681 921600 923521 925444 927369 929296 931225 933156 935089 937024 938961 940900 942841 944784 946729 948676 950625 952576 954529 956484 958441 960400 962361 964324 966289 968256 970225 972196 974169 976144 978121 980100 982081 984064 986049 988036 990025 992016 994009 996004 998001 1000000 Cube 860085351 862801408 865523177 868250664 870983875 873722816 876467493 879217912 881974079 884736000 887503681 890277128 893056347 895841344 898632125 901428696 904231063 907039232 909853209 912673000 915498611 918330048 921167317 924010424 926859375 929714176 932574833 935441352 938313739 941192000 944076141 946966168 949862087 952763904 955671625 958585256 961504803 964430272 967361669 970299000 973242271 976191488 979146657 982107784 985074875 988047936 991026973 994011992 997002999 1000000000 Sq Root 30.83829 30.85450 30.87070 30.88689 30.90307 30.91925 30.93542 30.95158 30.96773 30.98387 31.00000 31.01612 31.03224 31.04835 31.06445 31.08054 31.09662 31.11270 31.12876 31.14482 31.16087 31.17691 31.19295 31.20897 31.22499 31.24100 31.25700 31.27299 31.28898 31.30495 31.32092 31.33688 31.35283 31.36877 31.38471 31.40064 31.41656 31.43247 31.44837 31.46427 31.48015 31.49603 31.51190 31.52777 31.54362 31.55947 31.57531 31.59114 31.60696 31.62278 Cube Root 9.83392 9.83737 9.84081 9.84425 9.84769 9.85113 9.85456 9.85799 9.86142 9.86485 9.86827 9.87169 9.87511 9.87853 9.88195 9.88536 9.88877 9.89217 9.89558 9.89898 9.90238 9.90578 9.90918 9.91257 9.91596 9.91935 9.92274 9.92612 9.92950 9.93288 9.93626 9.93964 9.94301 9.94638 9.94975 9.95311 9.95648 9.95984 9.96320 9.96655 9.96991 9.97326 9.97661 9.97996 9.98331 9.98665 9.98999 9.99333 9.99667 10.00000 Reciprocal 0.0010515 0.0010504 0.0010493 0.0010482 0.0010471 0.0010460 0.0010449 0.0010438 0.0010428 0.0010417 0.0010406 0.0010395 0.0010384 0.0010373 0.0010363 0.0010352 0.0010341 0.0010331 0.0010320 0.0010309 0.0010299 0.0010288 0.0010277 0.0010267 0.0010256 0.0010246 0.0010235 0.0010225 0.0010215 0.0010204 0.0010194 0.0010183 0.0010173 0.0010163 0.0010152 0.0010142 0.0010132 0.0010121 0.0010111 0.0010101 0.0010091 0.0010081 0.0010070 0.0010060 0.0010050 0.0010040 0.0010030 0.0010020 0.0010010 0.0010000 Copyright 2004, Industrial Press, Inc., New York, NY No 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 Machinery's Handbook 27th Edition 2864 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 1001 to 1050 No 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 Square 1002001 1004004 1006009 1008016 1010025 1012036 1014049 1016064 1018081 1020100 1022121 1024144 1026169 1028196 1030225 1032256 1034289 1036324 1038361 1040400 1042441 1044484 1046529 1048576 1050625 1052676 1054729 1056784 1058841 1060900 1062961 1065024 1067089 1069156 1071225 1073296 1075369 1077444 1079521 1081600 1083681 1085764 1087849 1089936 1092025 1094116 1096209 1098304 1100401 1102500 Cube 1003003001 1006012008 1009027027 1012048064 1015075125 1018108216 1021147343 1024192512 1027243729 1030301000 1033364331 1036433728 1039509197 1042590744 1045678375 1048772096 1051871913 1054977832 1058089859 1061208000 1064332261 1067462648 1070599167 1073741824 1076890625 1080045576 1083206683 1086373952 1089547389 1092727000 1095912791 1099104768 1102302937 1105507304 1108717875 1111934656 1115157653 1118386872 1121622319 1124864000 1128111921 1131366088 1134626507 1137893184 1141166125 1144445336 1147730823 1151022592 1154320649 1157625000 Sq Root 31.63858 31.65438 31.67018 31.68596 31.70173 31.71750 31.73326 31.74902 31.76476 31.78050 31.79623 31.81195 31.82766 31.84337 31.85906 31.87475 31.89044 31.90611 31.92178 31.93744 31.95309 31.96873 31.98437 32.00000 32.01562 32.03123 32.04684 32.06244 32.07803 32.09361 32.10919 32.12476 32.14032 32.15587 32.17142 32.18695 32.20248 32.21801 32.23352 32.24903 32.26453 32.28002 32.29551 32.31099 32.32646 32.34192 32.35738 32.37283 32.38827 32.40370 Cube Root 10.00333 10.00666 10.00999 10.01332 10.01664 10.01996 10.02328 10.02660 10.02991 10.03322 10.03653 10.03984 10.04315 10.04645 10.04975 10.05305 10.05635 10.05964 10.06294 10.06623 10.06952 10.07280 10.07609 10.07937 10.08265 10.08593 10.08920 10.09248 10.09575 10.09902 10.10228 10.10555 10.10881 10.11207 10.11533 10.11859 10.12184 10.12510 10.12835 10.13159 10.13484 10.13808 10.14133 10.14457 10.14780 10.15104 10.15427 10.15751 10.16074 10.16396 Reciprocal 0.0009990 0.0009980 0.0009970 0.0009960 0.0009950 0.0009940 0.0009930 0.0009921 0.0009911 0.0009901 0.0009891 0.0009881 0.0009872 0.0009862 0.0009852 0.0009843 0.0009833 0.0009823 0.0009814 0.0009804 0.0009794 0.0009785 0.0009775 0.0009766 0.0009756 0.0009747 0.0009737 0.0009728 0.0009718 0.0009709 0.0009699 0.0009690 0.0009681 0.0009671 0.0009662 0.0009653 0.0009643 0.0009634 0.0009625 0.0009615 0.0009606 0.0009597 0.0009588 0.0009579 0.0009569 0.0009560 0.0009551 0.0009542 0.0009533 0.0009524 Copyright 2004, Industrial Press, Inc., New York, NY No 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2865 Powers, Roots, and Reciprocals From 1051 to 1100 No 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 Square 1104601 1106704 1108809 1110916 1113025 1115136 1117249 1119364 1121481 1123600 1125721 1127844 1129969 1132096 1134225 1136356 1138489 1140624 1142761 1144900 1147041 1149184 1151329 1153476 1155625 1157776 1159929 1162084 1164241 1166400 1168561 1170724 1172889 1175056 1177225 1179396 1181569 1183744 1185921 1188100 1190281 1192464 1194649 1196836 1199025 1201216 1203409 1205604 1207801 1210000 Cube 1160935651 1164252608 1167575877 1170905464 1174241375 1177583616 1180932193 1184287112 1187648379 1191016000 1194389981 1197770328 1201157047 1204550144 1207949625 1211355496 1214767763 1218186432 1221611509 1225043000 1228480911 1231925248 1235376017 1238833224 1242296875 1245766976 1249243533 1252726552 1256216039 1259712000 1263214441 1266723368 1270238787 1273760704 1277289125 1280824056 1284365503 1287913472 1291467969 1295029000 1298596571 1302170688 1305751357 1309338584 1312932375 1316532736 1320139673 1323753192 1327373299 1331000000 Sq Root 32.41913 32.43455 32.44996 32.46537 32.48076 32.49615 32.51154 32.52691 32.54228 32.55764 32.57299 32.58834 32.60368 32.61901 32.63434 32.64966 32.66497 32.68027 32.69557 32.71085 32.72614 32.74141 32.75668 32.77194 32.78719 32.80244 32.81768 32.83291 32.84814 32.86335 32.87856 32.89377 32.90897 32.92416 32.93934 32.95451 32.96968 32.98485 33.00000 33.01515 33.03029 33.04542 33.06055 33.07567 33.09078 33.10589 33.12099 33.13608 33.15117 33.16625 Cube Root 10.16719 10.17041 10.17363 10.17685 10.18007 10.18329 10.18650 10.18971 10.19292 10.19613 10.19933 10.20254 10.20574 10.20894 10.21213 10.21533 10.21852 10.22171 10.22490 10.22809 10.23128 10.23446 10.23764 10.24082 10.24400 10.24717 10.25035 10.25352 10.25669 10.25986 10.26302 10.26619 10.26935 10.27251 10.27566 10.27882 10.28197 10.28513 10.28828 10.29142 10.29457 10.29772 10.30086 10.30400 10.30714 10.31027 10.31341 10.31654 10.31967 10.32280 Reciprocal 0.0009515 0.0009506 0.0009497 0.0009488 0.0009479 0.0009470 0.0009461 0.0009452 0.0009443 0.0009434 0.0009425 0.0009416 0.0009407 0.0009398 0.0009390 0.0009381 0.0009372 0.0009363 0.0009355 0.0009346 0.0009337 0.0009328 0.0009320 0.0009311 0.0009302 0.0009294 0.0009285 0.0009276 0.0009268 0.0009259 0.0009251 0.0009242 0.0009234 0.0009225 0.0009217 0.0009208 0.0009200 0.0009191 0.0009183 0.0009174 0.0009166 0.0009158 0.0009149 0.0009141 0.0009132 0.0009124 0.0009116 0.0009107 0.0009099 0.0009091 Copyright 2004, Industrial Press, Inc., New York, NY No 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 Machinery's Handbook 27th Edition 2866 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 1101 to 1150 No 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 Square 1212201 1214404 1216609 1218816 1221025 1223236 1225449 1227664 1229881 1232100 1234321 1236544 1238769 1240996 1243225 1245456 1247689 1249924 1252161 1254400 1256641 1258884 1261129 1263376 1265625 1267876 1270129 1272384 1274641 1276900 1279161 1281424 1283689 1285956 1288225 1290496 1292769 1295044 1297321 1299600 1301881 1304164 1306449 1308736 1311025 1313316 1315609 1317904 1320201 1322500 Cube 1334633301 1338273208 1341919727 1345572864 1349232625 1352899016 1356572043 1360251712 1363938029 1367631000 1371330631 1375036928 1378749897 1382469544 1386195875 1389928896 1393668613 1397415032 1401168159 1404928000 1408694561 1412467848 1416247867 1420034624 1423828125 1427628376 1431435383 1435249152 1439069689 1442897000 1446731091 1450571968 1454419637 1458274104 1462135375 1466003456 1469878353 1473760072 1477648619 1481544000 1485446221 1489355288 1493271207 1497193984 1501123625 1505060136 1509003523 1512953792 1516910949 1520875000 Sq Root 33.18132 33.19639 33.21144 33.22650 33.24154 33.25658 33.27161 33.28663 33.30165 33.31666 33.33167 33.34666 33.36165 33.37664 33.39162 33.40659 33.42155 33.43651 33.45146 33.46640 33.48134 33.49627 33.51119 33.52611 33.54102 33.55592 33.57082 33.58571 33.60060 33.61547 33.63034 33.64521 33.66007 33.67492 33.68976 33.70460 33.71943 33.73426 33.74907 33.76389 33.77869 33.79349 33.80828 33.82307 33.83785 33.85262 33.86739 33.88215 33.89690 33.91165 Cube Root 10.32593 10.32905 10.33218 10.33530 10.33842 10.34154 10.34465 10.34777 10.35088 10.35399 10.35710 10.36020 10.36331 10.36641 10.36951 10.37261 10.37571 10.37880 10.38190 10.38499 10.38808 10.39117 10.39425 10.39734 10.40042 10.40350 10.40658 10.40966 10.41273 10.41580 10.41888 10.42195 10.42501 10.42808 10.43114 10.43421 10.43727 10.44033 10.44338 10.44644 10.44949 10.45254 10.45559 10.45864 10.46169 10.46473 10.46778 10.47082 10.47386 10.47690 Reciprocal 0.0009083 0.0009074 0.0009066 0.0009058 0.0009050 0.0009042 0.0009033 0.0009025 0.0009017 0.0009009 0.0009001 0.0008993 0.0008985 0.0008977 0.0008969 0.0008961 0.0008953 0.0008945 0.0008937 0.0008929 0.0008921 0.0008913 0.0008905 0.0008897 0.0008889 0.0008881 0.0008873 0.0008865 0.0008857 0.0008850 0.0008842 0.0008834 0.0008826 0.0008818 0.0008811 0.0008803 0.0008795 0.0008787 0.0008780 0.0008772 0.0008764 0.0008757 0.0008749 0.0008741 0.0008734 0.0008726 0.0008718 0.0008711 0.0008703 0.0008696 Copyright 2004, Industrial Press, Inc., New York, NY No 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2867 Powers, Roots, and Reciprocals From 1151 to 1200 No 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 Square 1324801 1327104 1329409 1331716 1334025 1336336 1338649 1340964 1343281 1345600 1347921 1350244 1352569 1354896 1357225 1359556 1361889 1364224 1366561 1368900 1371241 1373584 1375929 1378276 1380625 1382976 1385329 1387684 1390041 1392400 1394761 1397124 1399489 1401856 1404225 1406596 1408969 1411344 1413721 1416100 1418481 1420864 1423249 1425636 1428025 1430416 1432809 1435204 1437601 1440000 Cube 1524845951 1528823808 1532808577 1536800264 1540798875 1544804416 1548816893 1552836312 1556862679 1560896000 1564936281 1568983528 1573037747 1577098944 1581167125 1585242296 1589324463 1593413632 1597509809 1601613000 1605723211 1609840448 1613964717 1618096024 1622234375 1626379776 1630532233 1634691752 1638858339 1643032000 1647212741 1651400568 1655595487 1659797504 1664006625 1668222856 1672446203 1676676672 1680914269 1685159000 1689410871 1693669888 1697936057 1702209384 1706489875 1710777536 1715072373 1719374392 1723683599 1728000000 Sq Root 33.92639 33.94113 33.95585 33.97058 33.98529 34.00000 34.01470 34.02940 34.04409 34.05877 34.07345 34.08812 34.10279 34.11744 34.13210 34.14674 34.16138 34.17601 34.19064 34.20526 34.21988 34.23449 34.24909 34.26368 34.27827 34.29286 34.30743 34.32200 34.33657 34.35113 34.36568 34.38023 34.39477 34.40930 34.42383 34.43835 34.45287 34.46738 34.48188 34.49638 34.51087 34.52535 34.53983 34.55431 34.56877 34.58323 34.59769 34.61214 34.62658 34.64102 Cube Root 10.47993 10.48297 10.48600 10.48903 10.49206 10.49508 10.49811 10.50113 10.50416 10.50718 10.51019 10.51321 10.51623 10.51924 10.52225 10.52526 10.52827 10.53127 10.53428 10.53728 10.54028 10.54328 10.54628 10.54928 10.55227 10.55526 10.55826 10.56124 10.56423 10.56722 10.57020 10.57318 10.57617 10.57914 10.58212 10.58510 10.58807 10.59105 10.59402 10.59699 10.59995 10.60292 10.60588 10.60885 10.61181 10.61477 10.61772 10.62068 10.62363 10.62659 Reciprocal 0.0008688 0.0008681 0.0008673 0.0008666 0.0008658 0.0008651 0.0008643 0.0008636 0.0008628 0.0008621 0.0008613 0.0008606 0.0008598 0.0008591 0.0008584 0.0008576 0.0008569 0.0008562 0.0008554 0.0008547 0.0008540 0.0008532 0.0008525 0.0008518 0.0008511 0.0008503 0.0008496 0.0008489 0.0008482 0.0008475 0.0008467 0.0008460 0.0008453 0.0008446 0.0008439 0.0008432 0.0008425 0.0008418 0.0008410 0.0008403 0.0008396 0.0008389 0.0008382 0.0008375 0.0008368 0.0008361 0.0008354 0.0008347 0.0008340 0.0008333 Copyright 2004, Industrial Press, Inc., New York, NY No 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 Machinery's Handbook 27th Edition 2868 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 1201 to 1250 No 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 Square 1442401 1444804 1447209 1449616 1452025 1454436 1456849 1459264 1461681 1464100 1466521 1468944 1471369 1473796 1476225 1478656 1481089 1483524 1485961 1488400 1490841 1493284 1495729 1498176 1500625 1503076 1505529 1507984 1510441 1512900 1515361 1517824 1520289 1522756 1525225 1527696 1530169 1532644 1535121 1537600 1540081 1542564 1545049 1547536 1550025 1552516 1555009 1557504 1560001 1562500 Cube 1732323601 1736654408 1740992427 1745337664 1749690125 1754049816 1758416743 1762790912 1767172329 1771561000 1775956931 1780360128 1784770597 1789188344 1793613375 1798045696 1802485313 1806932232 1811386459 1815848000 1820316861 1824793048 1829276567 1833767424 1838265625 1842771176 1847284083 1851804352 1856331989 1860867000 1865409391 1869959168 1874516337 1879080904 1883652875 1888232256 1892819053 1897413272 1902014919 1906624000 1911240521 1915864488 1920495907 1925134784 1929781125 1934434936 1939096223 1943764992 1948441249 1953125000 Sq Root 34.65545 34.66987 34.68429 34.69870 34.71311 34.72751 34.74191 34.75629 34.77068 34.78505 34.79943 34.81379 34.82815 34.84250 34.85685 34.87119 34.88553 34.89986 34.91418 34.92850 34.94281 34.95712 34.97142 34.98571 35.00000 35.01428 35.02856 35.04283 35.05710 35.07136 35.08561 35.09986 35.11410 35.12834 35.14257 35.15679 35.17101 35.18522 35.19943 35.21363 35.22783 35.24202 35.25621 35.27038 35.28456 35.29873 35.31289 35.32704 35.34119 35.35534 Cube Root 10.62954 10.63249 10.63543 10.63838 10.64132 10.64427 10.64721 10.65015 10.65309 10.65602 10.65896 10.66189 10.66482 10.66775 10.67068 10.67361 10.67653 10.67946 10.68238 10.68530 10.68822 10.69113 10.69405 10.69696 10.69987 10.70279 10.70569 10.70860 10.71151 10.71441 10.71732 10.72022 10.72312 10.72601 10.72891 10.73181 10.73470 10.73759 10.74048 10.74337 10.74626 10.74914 10.75203 10.75491 10.75779 10.76067 10.76355 10.76643 10.76930 10.77217 Reciprocal 0.0008326 0.0008319 0.0008313 0.0008306 0.0008299 0.0008292 0.0008285 0.0008278 0.0008271 0.0008264 0.0008258 0.0008251 0.0008244 0.0008237 0.0008230 0.0008224 0.0008217 0.0008210 0.0008203 0.0008197 0.0008190 0.0008183 0.0008177 0.0008170 0.0008163 0.0008157 0.0008150 0.0008143 0.0008137 0.0008130 0.0008123 0.0008117 0.0008110 0.0008104 0.0008097 0.0008091 0.0008084 0.0008078 0.0008071 0.0008065 0.0008058 0.0008052 0.0008045 0.0008039 0.0008032 0.0008026 0.0008019 0.0008013 0.0008006 0.0008000 Copyright 2004, Industrial Press, Inc., New York, NY No 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2869 Powers, Roots, and Reciprocals From 1251 to 1300 No 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 Square 1565001 1567504 1570009 1572516 1575025 1577536 1580049 1582564 1585081 1587600 1590121 1592644 1595169 1597696 1600225 1602756 1605289 1607824 1610361 1612900 1615441 1617984 1620529 1623076 1625625 1628176 1630729 1633284 1635841 1638400 1640961 1643524 1646089 1648656 1651225 1653796 1656369 1658944 1661521 1664100 1666681 1669264 1671849 1674436 1677025 1679616 1682209 1684804 1687401 1690000 Cube 1957816251 1962515008 1967221277 1971935064 1976656375 1981385216 1986121593 1990865512 1995616979 2000376000 2005142581 2009916728 2014698447 2019487744 2024284625 2029089096 2033901163 2038720832 2043548109 2048383000 2053225511 2058075648 2062933417 2067798824 2072671875 2077552576 2082440933 2087336952 2092240639 2097152000 2102071041 2106997768 2111932187 2116874304 2121824125 2126781656 2131746903 2136719872 2141700569 2146689000 2151685171 2156689088 2161700757 2166720184 2171747375 2176782336 2181825073 2186875592 2191933899 2197000000 Sq Root 35.36948 35.38361 35.39774 35.41186 35.42598 35.44009 35.45420 35.46830 35.48239 35.49648 35.51056 35.52464 35.53871 35.55278 35.56684 35.58089 35.59494 35.60899 35.62303 35.63706 35.65109 35.66511 35.67913 35.69314 35.70714 35.72114 35.73514 35.74913 35.76311 35.77709 35.79106 35.80503 35.81899 35.83295 35.84690 35.86084 35.87478 35.88872 35.90265 35.91657 35.93049 35.94440 35.95831 35.97221 35.98611 36.00000 36.01389 36.02777 36.04164 36.05551 Cube Root 10.77505 10.77792 10.78078 10.78365 10.78652 10.78938 10.79224 10.79511 10.79796 10.80082 10.80368 10.80653 10.80939 10.81224 10.81509 10.81794 10.82079 10.82363 10.82648 10.82932 10.83216 10.83500 10.83784 10.84068 10.84351 10.84635 10.84918 10.85201 10.85484 10.85767 10.86050 10.86332 10.86615 10.86897 10.87179 10.87461 10.87743 10.88024 10.88306 10.88587 10.88868 10.89150 10.89430 10.89711 10.89992 10.90272 10.90553 10.90833 10.91113 10.91393 Reciprocal 0.0007994 0.0007987 0.0007981 0.0007974 0.0007968 0.0007962 0.0007955 0.0007949 0.0007943 0.0007937 0.0007930 0.0007924 0.0007918 0.0007911 0.0007905 0.0007899 0.0007893 0.0007886 0.0007880 0.0007874 0.0007868 0.0007862 0.0007855 0.0007849 0.0007843 0.0007837 0.0007831 0.0007825 0.0007819 0.0007813 0.0007806 0.0007800 0.0007794 0.0007788 0.0007782 0.0007776 0.0007770 0.0007764 0.0007758 0.0007752 0.0007746 0.0007740 0.0007734 0.0007728 0.0007722 0.0007716 0.0007710 0.0007704 0.0007698 0.0007692 Copyright 2004, Industrial Press, Inc., New York, NY No 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 Machinery's Handbook 27th Edition 2870 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 1301 to 1350 No 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 Square 1692601 1695204 1697809 1700416 1703025 1705636 1708249 1710864 1713481 1716100 1718721 1721344 1723969 1726596 1729225 1731856 1734489 1737124 1739761 1742400 1745041 1747684 1750329 1752976 1755625 1758276 1760929 1763584 1766241 1768900 1771561 1774224 1776889 1779556 1782225 1784896 1787569 1790244 1792921 1795600 1798281 1800964 1803649 1806336 1809025 1811716 1814409 1817104 1819801 1822500 Cube 2202073901 2207155608 2212245127 2217342464 2222447625 2227560616 2232681443 2237810112 2242946629 2248091000 2253243231 2258403328 2263571297 2268747144 2273930875 2279122496 2284322013 2289529432 2294744759 2299968000 2305199161 2310438248 2315685267 2320940224 2326203125 2331473976 2336752783 2342039552 2347334289 2352637000 2357947691 2363266368 2368593037 2373927704 2379270375 2384621056 2389979753 2395346472 2400721219 2406104000 2411494821 2416893688 2422300607 2427715584 2433138625 2438569736 2444008923 2449456192 2454911549 2460375000 Sq Root 36.06938 36.08324 36.09709 36.11094 36.12478 36.13862 36.15245 36.16628 36.18011 36.19392 36.20773 36.22154 36.23534 36.24914 36.26293 36.27671 36.29049 36.30427 36.31804 36.33180 36.34556 36.35932 36.37307 36.38681 36.40055 36.41428 36.42801 36.44173 36.45545 36.46917 36.48287 36.49658 36.51027 36.52396 36.53765 36.55133 36.56501 36.57868 36.59235 36.60601 36.61967 36.63332 36.64696 36.66061 36.67424 36.68787 36.70150 36.71512 36.72874 36.74235 Cube Root 10.91673 10.91952 10.92232 10.92511 10.92790 10.93069 10.93348 10.93627 10.93906 10.94184 10.94463 10.94741 10.95019 10.95297 10.95575 10.95852 10.96130 10.96407 10.96684 10.96961 10.97238 10.97515 10.97792 10.98068 10.98345 10.98621 10.98897 10.99173 10.99449 10.99724 11.00000 11.00275 11.00551 11.00826 11.01101 11.01376 11.01650 11.01925 11.02199 11.02474 11.02748 11.03022 11.03296 11.03570 11.03843 11.04117 11.04390 11.04663 11.04936 11.05209 Reciprocal 0.0007686 0.0007680 0.0007675 0.0007669 0.0007663 0.0007657 0.0007651 0.0007645 0.0007639 0.0007634 0.0007628 0.0007622 0.0007616 0.0007610 0.0007605 0.0007599 0.0007593 0.0007587 0.0007582 0.0007576 0.0007570 0.0007564 0.0007559 0.0007553 0.0007547 0.0007541 0.0007536 0.0007530 0.0007524 0.0007519 0.0007513 0.0007508 0.0007502 0.0007496 0.0007491 0.0007485 0.0007479 0.0007474 0.0007468 0.0007463 0.0007457 0.0007452 0.0007446 0.0007440 0.0007435 0.0007429 0.0007424 0.0007418 0.0007413 0.0007407 Copyright 2004, Industrial Press, Inc., New York, NY No 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2871 Powers, Roots, and Reciprocals From 1351 to 1400 No 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 Square 1825201 1827904 1830609 1833316 1836025 1838736 1841449 1844164 1846881 1849600 1852321 1855044 1857769 1860496 1863225 1865956 1868689 1871424 1874161 1876900 1879641 1882384 1885129 1887876 1890625 1893376 1896129 1898884 1901641 1904400 1907161 1909924 1912689 1915456 1918225 1920996 1923769 1926544 1929321 1932100 1934881 1937664 1940449 1943236 1946025 1948816 1951609 1954404 1957201 1960000 Cube 2465846551 2471326208 2476813977 2482309864 2487813875 2493326016 2498846293 2504374712 2509911279 2515456000 2521008881 2526569928 2532139147 2537716544 2543302125 2548895896 2554497863 2560108032 2565726409 2571353000 2576987811 2582630848 2588282117 2593941624 2599609375 2605285376 2610969633 2616662152 2622362939 2628072000 2633789341 2639514968 2645248887 2650991104 2656741625 2662500456 2668267603 2674043072 2679826869 2685619000 2691419471 2697228288 2703045457 2708870984 2714704875 2720547136 2726397773 2732256792 2738124199 2744000000 Sq Root 36.75595 36.76955 36.78315 36.79674 36.81032 36.82391 36.83748 36.85105 36.86462 36.87818 36.89173 36.90528 36.91883 36.93237 36.94591 36.95944 36.97296 36.98648 37.00000 37.01351 37.02702 37.04052 37.05401 37.06751 37.08099 37.09447 37.10795 37.12142 37.13489 37.14835 37.16181 37.17526 37.18871 37.20215 37.21559 37.22902 37.24245 37.25587 37.26929 37.28270 37.29611 37.30952 37.32292 37.33631 37.34970 37.36308 37.37646 37.38984 37.40321 37.41657 Cube Root 11.05482 11.05755 11.06028 11.06300 11.06572 11.06844 11.07116 11.07388 11.07660 11.07932 11.08203 11.08474 11.08746 11.09017 11.09288 11.09559 11.09829 11.10100 11.10370 11.10641 11.10911 11.11181 11.11451 11.11720 11.11990 11.12260 11.12529 11.12798 11.13067 11.13336 11.13605 11.13874 11.14142 11.14411 11.14679 11.14947 11.15216 11.15484 11.15751 11.16019 11.16287 11.16554 11.16821 11.17089 11.17356 11.17623 11.17889 11.18156 11.18423 11.18689 Reciprocal 0.0007402 0.0007396 0.0007391 0.0007386 0.0007380 0.0007375 0.0007369 0.0007364 0.0007358 0.0007353 0.0007348 0.0007342 0.0007337 0.0007331 0.0007326 0.0007321 0.0007315 0.0007310 0.0007305 0.0007299 0.0007294 0.0007289 0.0007283 0.0007278 0.0007273 0.0007267 0.0007262 0.0007257 0.0007252 0.0007246 0.0007241 0.0007236 0.0007231 0.0007225 0.0007220 0.0007215 0.0007210 0.0007205 0.0007199 0.0007194 0.0007189 0.0007184 0.0007179 0.0007174 0.0007168 0.0007163 0.0007158 0.0007153 0.0007148 0.0007143 Copyright 2004, Industrial Press, Inc., New York, NY No 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 Machinery's Handbook 27th Edition 2872 POWERS, ROOTS, AND RECIPROCALS Powers, Roots, and Reciprocals From 1401 to 1450 No 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 Square 1962801 1965604 1968409 1971216 1974025 1976836 1979649 1982464 1985281 1988100 1990921 1993744 1996569 1999396 2002225 2005056 2007889 2010724 2013561 2016400 2019241 2022084 2024929 2027776 2030625 2033476 2036329 2039184 2042041 2044900 2047761 2050624 2053489 2056356 2059225 2062096 2064969 2067844 2070721 2073600 2076481 2079364 2082249 2085136 2088025 2090916 2093809 2096704 2099601 2102500 Cube 2749884201 2755776808 2761677827 2767587264 2773505125 2779431416 2785366143 2791309312 2797260929 2803221000 2809189531 2815166528 2821151997 2827145944 2833148375 2839159296 2845178713 2851206632 2857243059 2863288000 2869341461 2875403448 2881473967 2887553024 2893640625 2899736776 2905841483 2911954752 2918076589 2924207000 2930345991 2936493568 2942649737 2948814504 2954987875 2961169856 2967360453 2973559672 2979767519 2985984000 2992209121 2998442888 3004685307 3010936384 3017196125 3023464536 3029741623 3036027392 3042321849 3048625000 Sq Root 37.42993 37.44329 37.45664 37.46999 37.48333 37.49667 37.51000 37.52333 37.53665 37.54997 37.56328 37.57659 37.58989 37.60319 37.61649 37.62978 37.64306 37.65634 37.66962 37.68289 37.69615 37.70942 37.72267 37.73592 37.74917 37.76242 37.77565 37.78889 37.80212 37.81534 37.82856 37.84178 37.85499 37.86819 37.88139 37.89459 37.90778 37.92097 37.93415 37.94733 37.96051 37.97368 37.98684 38.00000 38.01316 38.02631 38.03945 38.05260 38.06573 38.07887 Cube Root 11.18955 11.19221 11.19487 11.19753 11.20019 11.20285 11.20550 11.20816 11.21081 11.21346 11.21611 11.21876 11.22141 11.22406 11.22670 11.22934 11.23199 11.23463 11.23727 11.23991 11.24255 11.24518 11.24782 11.25045 11.25309 11.25572 11.25835 11.26098 11.26360 11.26623 11.26886 11.27148 11.27410 11.27673 11.27935 11.28197 11.28458 11.28720 11.28982 11.29243 11.29505 11.29766 11.30027 11.30288 11.30549 11.30809 11.31070 11.31331 11.31591 11.31851 Reciprocal 0.0007138 0.0007133 0.0007128 0.0007123 0.0007117 0.0007112 0.0007107 0.0007102 0.0007097 0.0007092 0.0007087 0.0007082 0.0007077 0.0007072 0.0007067 0.0007062 0.0007057 0.0007052 0.0007047 0.0007042 0.0007037 0.0007032 0.0007027 0.0007022 0.0007018 0.0007013 0.0007008 0.0007003 0.0006998 0.0006993 0.0006988 0.0006983 0.0006978 0.0006974 0.0006969 0.0006964 0.0006959 0.0006954 0.0006949 0.0006944 0.0006940 0.0006935 0.0006930 0.0006925 0.0006920 0.0006916 0.0006911 0.0006906 0.0006901 0.0006897 Copyright 2004, Industrial Press, Inc., New York, NY No 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 Machinery's Handbook 27th Edition POWERS, ROOTS, AND RECIPROCALS 2873 Powers, Roots, and Reciprocals From 1451 to 1500 No 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 Square 2105401 2108304 2111209 2114116 2117025 2119936 2122849 2125764 2128681 2131600 2134521 2137444 2140369 2143296 2146225 2149156 2152089 2155024 2157961 2160900 2163841 2166784 2169729 2172676 2175625 2178576 2181529 2184484 2187441 2190400 2193361 2196324 2199289 2202256 2205225 2208196 2211169 2214144 2217121 2220100 2223081 2226064 2229049 2232036 2235025 2238016 2241009 2244004 2247001 2250000 Cube 3054936851 3061257408 3067586677 3073924664 3080271375 3086626816 3092990993 3099363912 3105745579 3112136000 3118535181 3124943128 3131359847 3137785344 3144219625 3150662696 3157114563 3163575232 3170044709 3176523000 3183010111 3189506048 3196010817 3202524424 3209046875 3215578176 3222118333 3228667352 3235225239 3241792000 3248367641 3254952168 3261545587 3268147904 3274759125 3281379256 3288008303 3294646272 3301293169 3307949000 3314613771 3321287488 3327970157 3334661784 3341362375 3348071936 3354790473 3361517992 3368254499 3375000000 Sq Root 38.09199 38.10512 38.11824 38.13135 38.14446 38.15757 38.17067 38.18377 38.19686 38.20995 38.22303 38.23611 38.24918 38.26225 38.27532 38.28838 38.30144 38.31449 38.32754 38.34058 38.35362 38.36665 38.37968 38.39271 38.40573 38.41875 38.43176 38.44477 38.45777 38.47077 38.48376 38.49675 38.50974 38.52272 38.53570 38.54867 38.56164 38.57460 38.58756 38.60052 38.61347 38.62642 38.63936 38.65230 38.66523 38.67816 38.69108 38.70400 38.71692 38.72983 Cube Root 11.32111 11.32371 11.32631 11.32891 11.33151 11.33410 11.33670 11.33929 11.34188 11.34447 11.34706 11.34965 11.35224 11.35482 11.35741 11.35999 11.36257 11.36515 11.36773 11.37031 11.37289 11.37547 11.37804 11.38062 11.38319 11.38576 11.38833 11.39090 11.39347 11.39604 11.39860 11.40117 11.40373 11.40630 11.40886 11.41142 11.41398 11.41653 11.41909 11.42165 11.42420 11.42676 11.42931 11.43186 11.43441 11.43696 11.43951 11.44205 11.44460 11.44714 Reciprocal 0.0006892 0.0006887 0.0006882 0.0006878 0.0006873 0.0006868 0.0006863 0.0006859 0.0006854 0.0006849 0.0006845 0.0006840 0.0006835 0.0006831 0.0006826 0.0006821 0.0006817 0.0006812 0.0006807 0.0006803 0.0006798 0.0006793 0.0006789 0.0006784 0.0006780 0.0006775 0.0006770 0.0006766 0.0006761 0.0006757 0.0006752 0.0006748 0.0006743 0.0006739 0.0006734 0.0006729 0.0006725 0.0006720 0.0006716 0.0006711 0.0006707 0.0006702 0.0006698 0.0006693 0.0006689 0.0006684 0.0006680 0.0006676 0.0006671 0.0006667 Copyright 2004, Industrial Press, Inc., New York, NY No 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 ... 6. 639 26 6. 64 1 44 6. 64 3 61 6. 64 5 79 6. 64 7 96 6 .65 013 6. 65230 6. 6 544 8 6. 6 566 5 6. 65882 6. 660 99 6. 663 16 6 .66 532 6. 66 749 6. 669 66 6 .67 183 6. 67399 6. 6 761 6 6. 67833 6. 68 049 6. 68 265 6. 6 848 2 6. 6 869 8 6. 689 14 6. 69131... 4. 60 9 74 4 .61 233 4. 6 149 1 4. 61 749 4. 62 007 4. 62 265 4. 62 523 4. 62 780 4. 63 038 4. 63 2 96 4. 63 5 54 4 .63 812 4. 64 0 69 4. 64 3 27 4. 64 5 84 4. 64 8 42 4. 65 100 4. 65 357 4. 65 615 4. 65 872 4. 66 129 4. 66 387 4. 66 64 4 4. 66 901 4. 67 158... 3113 64 32 26 24 3 340 84 345 744 35 76 04 369 6 64 3819 24 3 943 84 407 044 41 99 04 4329 64 4 46 2 24 45 96 84 473 344 48 72 04 5012 64 5155 24 5299 84 544 64 4 5595 04 5 745 64 5898 24 60 52 84 62 0 944 63 68 04 65 28 64 66 91 24 68 5584