A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 225
... relation to antecedents and consequents in relation to consequents ( 11 ) . Definitions 12-16 explain the terms used for the transformation of ratios : ( a ) évadás , alternando , transforms the proportion a b c d into a : cb : d ; ( B ) ...
... relation to antecedents and consequents in relation to consequents ( 11 ) . Definitions 12-16 explain the terms used for the transformation of ratios : ( a ) évadás , alternando , transforms the proportion a b c d into a : cb : d ; ( B ) ...
Pagina 250
... relation of a ' side ' ( i.e. edge ) of the solid to the radius of the sphere : in the case of the first three solids the relation is actually determined , while in the case of the icosahedron the side of the figure is shown to be the ...
... relation of a ' side ' ( i.e. edge ) of the solid to the radius of the sphere : in the case of the first three solids the relation is actually determined , while in the case of the icosahedron the side of the figure is shown to be the ...
Pagina 314
... relation to the corresponding element - cylinder in the cylinder EB ' described with BB ' as base and AD as axis . Suppose that AD = h , and that AD is divided into n equal parts of length k . Let M , any one of the points of division ...
... relation to the corresponding element - cylinder in the cylinder EB ' described with BB ' as base and AD as axis . Suppose that AD = h , and that AD is divided into n equal parts of length k . Let M , any one of the points of division ...
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