On the Sphere and the Cylinder, Book II

... were responsible for the creation of Greek mathematical writing. /1/ The second was: given a cone or a cylinder, to find a sphere equal to the cone or to the cylinder. 188 on the sphere and the cylinder ... the segment the same ratio which: both the radius of the sphere and the 192 on the sphere and the cylinder ii height of the remaining segme...

Ngày tải lên: 01/11/2013, 10:20

... TO ON THE SPHERE AND THE CYLINDER II Now that the proofs of the theorems in the first book are clearly dis- cussed by us, the next thing is the same kind of study with the theorems of the second ... is the same as the ratio which the cube on AM has to the <cube> on MH; (13) therefore the ratio of MtoMH, too, is the same as the ratio which t...

Ngày tải lên: 01/11/2013, 10:20

... side of the surface, or some on the same side, and some on < ;the surface> itself, but none on the other side. /5/ And, when a cone cuts a sphere, having a vertex at the center of the sphere, ... taken, the straight <lines> between the <two> points either all fall on the same side of the line, or some fall on the same side, and some on...

Ngày tải lên: 01/11/2013, 10:20

... translation 12 Preliminary notes: conventions 53 Preliminary notes: Archimedes’ works 10Translation and Commentary 2 9On the Sphere and the Cylinder, Book I 3 1On the Sphere and the Cylinder, Book II ... 185Eutocius’ Commentary to On the Sphere andthe Cylinder I 243Eutocius’ Commentary to On the Sphere andthe Cylinder II 270Bibliography 369Index 371...

Ngày tải lên: 21/09/2012, 11:00

... “curved lines,” and went on to discuss the expression on the same side” and its application for the definition of “concave in the same direction.” Only the diagram for to the definitions 245 B Γ ... COMMENTARY TO ON THE SPHERE AND THE CYLINDER I TO BOOK 1 As I found that no one before us had written down a proper treatise on the books of Archimedes on Sphe...

Ngày tải lên: 01/11/2013, 10:20

... together in police station. One was the picture of an American bank robber who killed several police officers in Texas; the other was that of the priest. No one noticed the irony, including the ... he spent the night in a banana warehouse. The English manager on the plantation allowed him to hide there .The following day, hoping to find safety from the police and from...

Ngày tải lên: 21/03/2014, 22:53

... desultory reading, and even The student and the book 7 then wrote verses.'' 30 The relationship between Poe and the world of books Johnston described aptly conveys the attitude toward ... childhood and adolescence. On one hand, books provided systems of knowledge, ways of organizing the world into knowable facts; on the other hand, books freed the imagi...

Ngày tải lên: 01/11/2013, 09:20

... Nations Convention on the Law of the Sea and the polar marine environment   The 1982 United Nations Convention on the Law of the Sea (LOS Convention) was conceived as a framework convention ... United Nations Convention on the Law of the Sea. 2 34 1 The LOS Convention was negotiated through eleven sessions of the Third United Nations Conference on t...

Ngày tải lên: 01/11/2013, 09:20

Ngày tải lên: 18/02/2014, 11:20

... which, the picture of the dying Roland and the picture of the dying Renaud, I would fain bring before you before speaking of the Euphorion, by Vernon Lee 14 other Roland and the other Renaud, the ... repetition and alteration. Yet even these alterations could not make the tale of Siegfried survive among the Germans of the Middle Ages; nay, the more the alteration...

Ngày tải lên: 21/02/2014, 21:20