A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 20
... result of dividing a smaller number by a greater , they expressed it as a sum of submultiples with or without ; thus the result of dividing 3200 by 365 they stated as 8190 , and that of dividing 2 by 13 as The Greeks too had a ...
... result of dividing a smaller number by a greater , they expressed it as a sum of submultiples with or without ; thus the result of dividing 3200 by 365 they stated as 8190 , and that of dividing 2 by 13 as The Greeks too had a ...
Pagina 78
... result is multiplied by 14. This makes it appear that the base was multiplied by 14 times the height . It is now explained ( vide Peet's edition ) that this is not so ; what happens is that , when the content has been found in cubic ...
... result is multiplied by 14. This makes it appear that the base was multiplied by 14 times the height . It is now explained ( vide Peet's edition ) that this is not so ; what happens is that , when the content has been found in cubic ...
Pagina 394
... results as Euclid 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 ... result obtained in the course of the proof , namely the 394 TRIGONOMETRY.
... results as Euclid 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 ... result obtained in the course of the proof , namely the 394 TRIGONOMETRY.
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