A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 86
... proof is well known . But we are distinctly told by Proclus , on the authority of Eudemus , that the first to discover , as well as to give a general proof of the fact , that the angles of any triangle are together equal to two right ...
... proof is well known . But we are distinctly told by Proclus , on the authority of Eudemus , that the first to discover , as well as to give a general proof of the fact , that the angles of any triangle are together equal to two right ...
Pagina 198
... proof , avoids the necessity for this . Aristotle is already aware of the principle on which Eudoxus based the ... proof of it ( in Meteor . III . 5 ) not differing sub- stantially from that of Apollonius , which shows that there was a ...
... proof , avoids the necessity for this . Aristotle is already aware of the principle on which Eudoxus based the ... proof of it ( in Meteor . III . 5 ) not differing sub- stantially from that of Apollonius , which shows that there was a ...
Pagina 214
... proof ; ( 5 ) the åñódeığıs , the proof itself ; ( 6 ) the ovμжéρаoμа , or conclusion , which reverts to the enuncia- tion and states ( often in the same general terms ) what has been proved or done . A particular proposition may be ...
... proof ; ( 5 ) the åñódeığıs , the proof itself ; ( 6 ) the ovμжéρаoμа , or conclusion , which reverts to the enuncia- tion and states ( often in the same general terms ) what has been proved or done . A particular proposition may be ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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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