A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 140
... polygon inscribed in the circle and having twice the number of sides . Proceeding in this way , and doubling continually the number of sides in the inscribed polygon , he thought ( so we are told ) that ' in this way the area of the ...
... polygon inscribed in the circle and having twice the number of sides . Proceeding in this way , and doubling continually the number of sides in the inscribed polygon , he thought ( so we are told ) that ' in this way the area of the ...
Pagina 142
... polygons , until it was a close enough approximation to the truth to say that , if a polygon intermediate between the inscribed and circumscribed polygons could be drawn , the area of the circle would be equal to that of the intermediate ...
... polygons , until it was a close enough approximation to the truth to say that , if a polygon intermediate between the inscribed and circumscribed polygons could be drawn , the area of the circle would be equal to that of the intermediate ...
Pagina 296
... polygon in it such that the former may have to the latter a ratio less than S : B ( Prop . 5 ) . Describe about A a similar polygon and set up from it a pyramid cir- cumscribing the cone . Then ( polygon about A ) : ( polygon about B ) ...
... polygon in it such that the former may have to the latter a ratio less than S : B ( Prop . 5 ) . Describe about A a similar polygon and set up from it a pyramid cir- cumscribing the cone . Then ( polygon about A ) : ( polygon about B ) ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole