A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 176
... obtained . Take any cube and bisect the sides of each of its square faces ; then , joining the middle points of each pair of adjacent sides , we obtain , in each face , a square of half the size . The three out of the twenty - four ...
... obtained . Take any cube and bisect the sides of each of its square faces ; then , joining the middle points of each pair of adjacent sides , we obtain , in each face , a square of half the size . The three out of the twenty - four ...
Pagina 394
... obtained in his Phaenomena , e.g. that different arcs of the ecliptic having the same length take a longer or shorter time to rise accord- ing as they are nearer to or farther from the tropic circle . There is no trigonometry in ...
... obtained in his Phaenomena , e.g. that different arcs of the ecliptic having the same length take a longer or shorter time to rise accord- ing as they are nearer to or farther from the tropic circle . There is no trigonometry in ...
Pagina
... obtaining a polygonal number of ( a + 1 ) sides from a polygonal number of a sides . Thus he says : 1. If we put two ... obtained are as follows . 1. Diophantus generalizes the above theorem that eight times a triangular number plus 1 is ...
... obtaining a polygonal number of ( a + 1 ) sides from a polygonal number of a sides . Thus he says : 1. If we put two ... obtained are as follows . 1. Diophantus generalizes the above theorem that eight times a triangular number plus 1 is ...
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