A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 64
... less , than the number itself . Having considered numbers by themselves , Nicomachus next considers numbers in relation to one another . One number may be greater than , equal to , or less than , another . If it is greater , it may be ...
... less , than the number itself . Having considered numbers by themselves , Nicomachus next considers numbers in relation to one another . One number may be greater than , equal to , or less than , another . If it is greater , it may be ...
Pagina 250
... less than the sum of the prisms in P ' : which is impossible . Therefore W is not less than P ' . II . Suppose We have , inversely , W > P ' . B ' : B W : P = = P ' : V , where V is some solid less than P. But this can be proved ...
... less than the sum of the prisms in P ' : which is impossible . Therefore W is not less than P ' . II . Suppose We have , inversely , W > P ' . B ' : B W : P = = P ' : V , where V is some solid less than P. But this can be proved ...
Pagina 329
... less than one - third of 1,000 times the sun's diameter and therefore again a fortiori less than one - third of 30,000 times the earth's diameter , that is to say , less than 10,000,000,000 stades . But , on our assumptions , the ...
... less than one - third of 1,000 times the sun's diameter and therefore again a fortiori less than one - third of 30,000 times the earth's diameter , that is to say , less than 10,000,000,000 stades . But , on our assumptions , the ...
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