A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 329
... diameter and therefore again a fortiori less than one - third of 30,000 times the earth's diameter , that is to say , less than 10,000,000,000 stades . But , on our assumptions , the diameter of the universe is in the same ratio to the ...
... diameter and therefore again a fortiori less than one - third of 30,000 times the earth's diameter , that is to say , less than 10,000,000,000 stades . But , on our assumptions , the diameter of the universe is in the same ratio to the ...
Pagina 360
... diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation to DD ' and its parameter that it has in ...
... diameters in an ellipse are dealt with in I. 15 in relation to the diameter of reference PP ' and its con- jugate DD ' , and it is proved that the ellipse has the same property in relation to DD ' and its parameter that it has in ...
Pagina 361
... diameter and the tangent at its extremity ; Apol- lonius shows that , if any other diameter than the original one be taken , the property of the curve with reference to the new diameter and the corresponding parameter is of the same ...
... diameter and the tangent at its extremity ; Apol- lonius shows that , if any other diameter than the original one be taken , the property of the curve with reference to the new diameter and the corresponding parameter is of the same ...
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