A Manual of Greek MathematicsDover Publications, 1963 - 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 : bc : d into a : cb : d ...
... 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 : bc : d into a : cb : d ...
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 ...
Pagina 360
... relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation to DD ' and its parameter that it has in relation to PP ' and its parameter PL , the para- meter ...
... relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation to DD ' and its parameter that it has in relation to PP ' and its parameter PL , the para- meter ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence