A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 189
... sphere a curve called the hippopede ( horse - fetter ) , like a figure of eight , lying along , and longitudinally bisected by , the zodiac circle . In the case of the sun and moon Eudoxus used three spheres only ; the two outer spheres ...
... sphere a curve called the hippopede ( horse - fetter ) , like a figure of eight , lying along , and longitudinally bisected by , the zodiac circle . In the case of the sun and moon Eudoxus used three spheres only ; the two outer spheres ...
Pagina 294
... sphere precedes the proposition about its volume , we now know from the Method that the latter was discovered first ... sphere is four times as great as the cone with a great circle of the sphere as base and with height equal to the ...
... sphere precedes the proposition about its volume , we now know from the Method that the latter was discovered first ... sphere is four times as great as the cone with a great circle of the sphere as base and with height equal to the ...
Pagina 301
... sphere is , of course , greater than that of the inscribed solid . Similarly , Archimedes proves that it is less than that of a similar figure circumscribed to it , which is again equal to ... sphere , ON THE SPHERE AND CYLINDER . I , II 301.
... sphere is , of course , greater than that of the inscribed solid . Similarly , Archimedes proves that it is less than that of a similar figure circumscribed to it , which is again equal to ... sphere , ON THE SPHERE AND CYLINDER . I , II 301.
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