A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 225
... corresponding order . ' Perhaps the greatest tribute to this wonderful definition is its adoption by Weierstrass as a definition of equal numbers . For a most attractive explanation showing its exact significance and its absolute ...
... corresponding order . ' Perhaps the greatest tribute to this wonderful definition is its adoption by Weierstrass as a definition of equal numbers . For a most attractive explanation showing its exact significance and its absolute ...
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 ...
Pagina 400
... corresponding to Euclid's propositions in his Book I about plane triangles . Thus we have all the congruence - theorems ( including the ' ambiguous case ' and also the case which has no analogue in plane triangles , that in which the ...
... corresponding to Euclid's propositions in his Book I about plane triangles . Thus we have all the congruence - theorems ( including the ' ambiguous case ' and also the case which has no analogue in plane triangles , that in which the ...
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