A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 265
... conics ' . The latter work was presumably a treatise on conics regarded as loci , for ' solid loci ' in Greek geometry meant loci which were conics , as dis- tinct from ' plane loci ' , which were straight lines and circles . Euclid ...
... conics ' . The latter work was presumably a treatise on conics regarded as loci , for ' solid loci ' in Greek geometry meant loci which were conics , as dis- tinct from ' plane loci ' , which were straight lines and circles . Euclid ...
Pagina 350
... conics pure and simple , the idea being that they arise from plane sections of solid figures , though not solid figures in general but only cones and cylinders ; finally ( 3 ) ' Linear loci ' are curves of degree higher than conics ...
... conics pure and simple , the idea being that they arise from plane sections of solid figures , though not solid figures in general but only cones and cylinders ; finally ( 3 ) ' Linear loci ' are curves of degree higher than conics ...
Pagina 540
... Conics and Aristaeus ' Solid Loci 265 , 349-51 : focus - directrix pro- perty assumed by Eucl . 153 , 266 : conics in Archimedes 351-2 : modern names due to Apollonius 103 , 352 , 359 : Apollonius ' Conics 352-63 : conics in Fragmentum ...
... Conics and Aristaeus ' Solid Loci 265 , 349-51 : focus - directrix pro- perty assumed by Eucl . 153 , 266 : conics in Archimedes 351-2 : modern names due to Apollonius 103 , 352 , 359 : Apollonius ' Conics 352-63 : conics in Fragmentum ...
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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