A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 100
... corresponding triangles . But two of the triangles , DBA , DAC , together make up the third triangle ABC . or Therefore the same is true of the corresponding squares , BA2 + AC2BC2 . It must not be overlooked that the Pythagorean theory ...
... corresponding triangles . But two of the triangles , DBA , DAC , together make up the third triangle ABC . or Therefore the same is true of the corresponding squares , BA2 + AC2BC2 . It must not be overlooked that the Pythagorean theory ...
Pagina 359
... corresponding diameter d ( in the case of the central conics ) , the pro- perties of the curves , as stated by Apollonius , are the equivalent of the Cartesian equations referred to the diameter and the tangent at its extremity as axes ...
... corresponding diameter d ( in the case of the central conics ) , the pro- perties of the curves , as stated by Apollonius , are the equivalent of the Cartesian equations referred to the diameter and the tangent at its extremity as axes ...
Pagina 361
... corresponding parameter is of the same form as it was with reference to the original diameter and parameter . The principal axes only appear as particular cases ; they are introduced for the first time in Propositions 52-8 , where ...
... corresponding parameter is of the same form as it was with reference to the original diameter and parameter . The principal axes only appear as particular cases ; they are introduced for the first time in Propositions 52-8 , where ...
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