A Manual of Greek MathematicsClarendon Press, 1931 - 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 52
... arithmetic , geometric , and harmonic . ( 1 ) ( 2 ) Formula . a b α b = b с a b a b b C - a b α b a ( 3 ) = b C C Equivalent . a + c = 2b ( arithmetic ) . 1 + ac = b2 ( geometric ) . 1 -- a c = 2 ( harmonic ) . The next three are ...
... arithmetic , geometric , and harmonic . ( 1 ) ( 2 ) Formula . a b α b = b с a b a b b C - a b α b a ( 3 ) = b C C Equivalent . a + c = 2b ( arithmetic ) . 1 + ac = b2 ( geometric ) . 1 -- a c = 2 ( harmonic ) . The next three are ...
Pagina
... Arithmetic ( 1 ) theory of num bers ( opp . to doуioriký ) 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 doуioriký ) 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 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole