exploring analytic geometry with mathematica - d. vossler

Exploring Analytic Geometry with Mathematica R LIMITED WARRANTY AND DISCLAIMER OF LIABILITY ACADEMIC PRESS (“AP”) AND ANYONE ELSE WHO HAS BEEN INVOLVED IN THE CREATION OR PRODUCTION OF THE ACCOMPANYING CODE (“THE PRODUCT”) CANNOT AND DO NOT WAR- RANT THE PERFORMANCE OR RESULTS THAT MAY BE OBTAINED BY USING THE PRODUCT. THE PRODUCT IS SOLD “AS IS” WITHOUT WARRANTY OF ANY KIND (EXCEPT AS HEREAFTER DESCRIBED), EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, ANY WAR- RANTY OF PERFORMANCE OR ANY IMPLIED WARRANTY OF MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE. AP WARRANTS ONLY THAT THE CD-ROM ON WHICH THE CODE IS RECORDED IS FREE FROM DEFECTS IN MATERIAL AND FAULTY WORKMANSHIP UN- DER THE NORMAL USE AND SERVICE FOR A PERIOD OF NINETY (90) DAYS FROM THE DATE THE PRODUCT IS DELIVERED. THE PURCHASER’S SOLE AND EXCLUSIVE REMEDY IN THE EVENT OF A DEFECT IS EXPRESSLY LIMITED TO EITHER REPLACEMENT OF THE CD-ROM OR REFUND OF THE PURCHASE PRICE, AT AP’S SOLE DISCRETION. IN NO EVENT, WHETHER AS A RESULT OF BREACH OF CONTRACT, WARRANTY, OR TORT (INCLUDING NEGLIGENCE), WILL AP OR ANYONE WHO HAS BEEN INVOLVED IN THE CRE- ATION OR PRODUCTION OF THE PRODUCT BE LIABLE TO PURCHASER FOR ANY DAMAGES, INCLUDING ANY LOST PROFITS, LOST SAVINGS OR OTHER INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OF INABILITY TO USE THE PRODUCT OR ANY MODIFICA- TIONS THEREOF, OR DUE TO THE CONTENTS OF THE CODE, EVEN IF AP HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. Any request for replacement of a defective CD-ROM must be postage prepaid and must be accompanied by the original defective CD-ROM, your mailing address and telephone number, and proof of date of purchase and purchase price. Send such requests, stating the nature of the problem, to Academic Press Customer Service, 6277 Sea Harbor Drive, Orlando, FL 32887, 1-800-321-5068. AP shall have no obligation to refund the purchase price or to replace a CD-ROM based on claims of defects in the nature or operation of the Product. Some states do not allow limitation on how long an implied warranty lasts, nor exclusions or limitations of incidental or consequential damages, so the above limitations and exclusions may not apply to you. This warranty gives you specific legal rights, and you may also have other rights which vary from jurisdiction to jurisdiction. THE RE-EXPORT OF UNITED STATES ORIGIN SOFTWARE IS SUBJECT TO UNITED STATES LAWS UNDER THE EXPORT ADMINISTRATION ACT OF 1969 AS AMENDED. ANY FURTHER SALE OF THE PRODUCT SHALL BE IN COMPLIANCE WITH THE UNITED STATES DEPARTMENT OF COM- MERCE ADMINISTRATION REGULATIONS. COMPLIANCE WITH SUCH REGULATIONS IS YOUR RESPONSIBILITY AND NOT THE RESPONSIBILITY OF AP. Mathematica and MathReader are registered trademarks of Wolfram Research, Inc. Acrobat Reader is a registered trademark of Adobe Systems, Inc. Exploring Analytic Geometry with Mathematica R Donald L. Vossler BME, Kettering University, 1978 MM, Aquinas College, 1981 ACADEMIC PRESS San Diego London Boston New York Sydney Tokyo Toronto [...]... relationships of two-dimensional analytic geometry Due to the nature of the Mathematica environment in which Descarta2D was written, the system can be easily enhanced and extended • To provide a reference of geometric formulas from analytic geometry that are not generally provided in more broad-based mathematical textbooks, nor included in mathematical handbooks • To provide a large-scale Mathematica programming... 0 -0 .5 -1 -1 .5 -2 -2 -1 0 1 2 3 14 Chapter 2 Descarta2D Tour We might want to determine the midpoint of a line segment, and we could use the Point2D[point, point] function to do so, but Descarta2D provides a more convenient function for directly constructing the midpoint of a line segment In[19]: p1 = Point2D@l1D Out[19] Point2DA9 1 1 , − =E 2 2 In[20]: Sketch2D@8l1, p1 . 453 D2 DLine 2D 457 D2 DLoci 2D 465 D2 DMaster 2D 469 D2 DMedial 2D 473 D2 DNumbers 2D 477 D2 DParabola 2D 479 D2 DPencil 2D 485 D2 DPoint 2D 489 D2 DQuadratic 2D 497 D2 DSegment 2D 505 D2 DSketch 2D 511 D2 DSolve 2D. 387 D2 DArcLength 2D 395 D2 DArea 2D 399 D2 DCircle 2D 405 D2 DConic 2D 411 D2 DConicArc 2D 415 D2 DEllipse 2D 421 D2 DEquations 2D 427 D2 DExpressions 2D 429 D2 DGeometry 2D 437 Contents xv D2 DHyperbola 2D 445 D2 DIntersect 2D. 505 D2 DSketch 2D 511 D2 DSolve 2D 515 D2 DTangentCircles 2D 519 D2 DTangentConics 2D 523 D2 DTangentLines 2D 531 D2 DTangentPoints 2D 537 D2 DTransform 2D 539 D2 DTriangle 2D 545 VIII Explorations 555 apollon.nb,