A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 263
... Porisms he proves the first porism given by Pappus in each of the ten cases which , according to Pappus ( or an interpolator ) , Euclid distinguished ; then , besides other ... porisms that it is PSEUDARIA . PORISMS 263 Pseudaria Porisms.
... Porisms he proves the first porism given by Pappus in each of the ten cases which , according to Pappus ( or an interpolator ) , Euclid distinguished ; then , besides other ... porisms that it is PSEUDARIA . PORISMS 263 Pseudaria Porisms.
Pagina 264
... Porisms contained 171 propositions , besides 38 lemmas , and that at the beginning of the work was this proposition : I. If from two given points straight lines be drawn meeting on a straight line given in position , and one cut off ...
... Porisms contained 171 propositions , besides 38 lemmas , and that at the beginning of the work was this proposition : I. If from two given points straight lines be drawn meeting on a straight line given in position , and one cut off ...
Pagina 474
... Porisms were not a separate collection of propositions , but were scattered here and there in the Arithmetica as corollaries . But it would be strange if Diophantus quoted such propositions under a separate title ' the Porisms ' when it ...
... Porisms were not a separate collection of propositions , but were scattered here and there in the Arithmetica as corollaries . But it would be strange if Diophantus quoted such propositions under a separate title ' the Porisms ' when it ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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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