A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 283
... parabola ' , namely , that the area of any segment of a parabola cut off by a chord is four - thirds of that of the triangle which has the same base and height . The following is the order in which the treatises appear in Heiberg's ...
... parabola ' , namely , that the area of any segment of a parabola cut off by a chord is four - thirds of that of the triangle which has the same base and height . The following is the order in which the treatises appear in Heiberg's ...
Pagina 289
... Parabola , Prop . 5 ) , MO : OPCA : AO = CK : KN = HK : KN . Also , by the property of the parabola , EB = BD , so that MN = NO , and FK = KA . It follows that , if HC be regarded as the bar of a balance , a line TG equal to PO and ...
... Parabola , Prop . 5 ) , MO : OPCA : AO = CK : KN = HK : KN . Also , by the property of the parabola , EB = BD , so that MN = NO , and FK = KA . It follows that , if HC be regarded as the bar of a balance , a line TG equal to PO and ...
Pagina 379
... parabola . Ibn al - Haitham , on the other hand , who wrote a work on burning - mirrors which is still extant , and whose proofs are after the Greek model , does not mention Diocles but only Archimedes , Apollonius , and Anthemius ; and ...
... parabola . Ibn al - Haitham , on the other hand , who wrote a work on burning - mirrors which is still extant , and whose proofs are after the Greek model , does not mention Diocles but only Archimedes , Apollonius , and Anthemius ; and ...
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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