A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 5
... arithmetic , geometry , sphaeric , and music . Sphaeric here means the geometry of the sphere as studied for the purposes of astronomy , and is therefore equivalent to astronomy . The term ' arithmetic ' calls for explanation . It does ...
... arithmetic , geometry , sphaeric , and music . Sphaeric here means the geometry of the sphere as studied for the purposes of astronomy , and is therefore equivalent to astronomy . The term ' arithmetic ' calls for explanation . It does ...
Pagina 51
... arithmetic and the theory of music . We are told that in Pythagoras ' time there were three means , the arithmetic , the geometric , and the subcontrary , and that the name of the third , the subcontrary , was changed by Archytas and ...
... arithmetic and the theory of music . We are told that in Pythagoras ' time there were three means , the arithmetic , the geometric , and the subcontrary , and that the name of the third , the subcontrary , was changed by Archytas and ...
Pagina 539
... Arithmetic ( 1 ) = theory of num- bers ( opp . to λoylσTIKÝ ) 5-6 : early Elements of Arithmetic 53 , 137 : systematic treatises , Nicomachus 61-70 , Theon of Smyrna 70-1 , Iamblichus ' comm . on Nicomachus 71-2 , Domninus 517 . ( 2 ) ...
... Arithmetic ( 1 ) = theory of num- bers ( opp . to λoylσTIKÝ ) 5-6 : early Elements of Arithmetic 53 , 137 : systematic treatises , Nicomachus 61-70 , Theon of Smyrna 70-1 , Iamblichus ' comm . on Nicomachus 71-2 , Domninus 517 . ( 2 ) ...
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