A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 258
... treatise ending with the words ' end of the treatise ' , and ( except that most of the proofs are omitted , presumably as being too easy ) clearly represents the whole of Euclid's book . The four proofs of propositions which are given ...
... treatise ending with the words ' end of the treatise ' , and ( except that most of the proofs are omitted , presumably as being too easy ) clearly represents the whole of Euclid's book . The four proofs of propositions which are given ...
Pagina 265
... treatise of an advanced kind , worthy of the reputation of the author of the Elements . Of Euclid's Conics Pappus says that it consisted of four Books , and that these four Books were completed by Apollonius , who added four more ...
... treatise of an advanced kind , worthy of the reputation of the author of the Elements . Of Euclid's Conics Pappus says that it consisted of four Books , and that these four Books were completed by Apollonius , who added four more ...
Pagina 515
... treatise that the said oblique sections are equally ellipses whether they are sections of a cylinder or of a cone . The treatise On the Section of a Cone is even less impor- tant , since it deals mainly with the various triangular ...
... treatise that the said oblique sections are equally ellipses whether they are sections of a cylinder or of a cone . The treatise On the Section of a Cone is even less impor- tant , since it deals mainly with the various triangular ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence