A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 351
... contained most , if not all , of the propositions in conics assumed by Archi- medes as known or ' proved ' ( as he says ) ' in the Elements of Conics ' . It is evident that Euclid's work contained the ordinary chord and tangent ...
... contained most , if not all , of the propositions in conics assumed by Archi- medes as known or ' proved ' ( as he says ) ' in the Elements of Conics ' . It is evident that Euclid's work contained the ordinary chord and tangent ...
Pagina 372
... contained the theorem , quoted by Eutocius but already known to and quoted by Aristotle , that , if A , B be fixed ... contained four cases of I ( a ) , two cases of ( III ) , and two of ( II ) ; Book II contained ten cases of I ( b ) ...
... contained the theorem , quoted by Eutocius but already known to and quoted by Aristotle , that , if A , B be fixed ... contained four cases of I ( a ) , two cases of ( III ) , and two of ( II ) ; Book II contained ten cases of I ( b ) ...
Pagina 396
... contained about 3651-3 days . Callippus had taken it to be 365 days exactly , and the ' cycle ' which he constructed , 76 years , contained 27,759 days in which he reckoned 12 × 76 months plus 28 inter- calary months , or 940 months in ...
... contained about 3651-3 days . Callippus had taken it to be 365 days exactly , and the ' cycle ' which he constructed , 76 years , contained 27,759 days in which he reckoned 12 × 76 months plus 28 inter- calary months , or 940 months in ...
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