A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 295
... cone and a cylinder . For this purpose he inscribes in the bases , and circumscribes to them , regular polygons with a large number of sides , thereby obtaining pyramids ( or prisms ) with many faces inscribed in and circumscribed to the ...
... cone and a cylinder . For this purpose he inscribes in the bases , and circumscribes to them , regular polygons with a large number of sides , thereby obtaining pyramids ( or prisms ) with many faces inscribed in and circumscribed to the ...
Pagina 302
... cone and the cone OPP ' . In Proposition 2 of Book II Archimedes reduces the H ' B H A ' M sum or difference of the two cones which has been proved equal to the segment APP ' to one cone with base the same as that of the segment . We ...
... cone and the cone OPP ' . In Proposition 2 of Book II Archimedes reduces the H ' B H A ' M sum or difference of the two cones which has been proved equal to the segment APP ' to one cone with base the same as that of the segment . We ...
Pagina 348
... cone , which is similar to a Ovpeós ( shield ) ' . Then , when a right cone had been cut by a plane cutting all the generators , and the resulting curve had been investigated , it would be natural to inquire what sort of curves are pro ...
... cone , which is similar to a Ovpeós ( shield ) ' . Then , when a right cone had been cut by a plane cutting all the generators , and the resulting curve had been investigated , it would be natural to inquire what sort of curves are pro ...
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