A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 64
... greater than , equal to , or less than , another . If it is greater , it may be greater , says Nico- machus , in one of five different ways according to the particular ratio ( greater than 1 ) that it bears to it ; and the reciprocals ...
... greater than , equal to , or less than , another . If it is greater , it may be greater , says Nico- machus , in one of five different ways according to the particular ratio ( greater than 1 ) that it bears to it ; and the reciprocals ...
Pagina 125
... greater than a semicircle . Now the angle BAC is greater than a right angle , for , since BD > AC , the straight lines BA , DC will , if produced , meet and form an isosceles triangle FAC , so that the angle FAC is less , and the angle ...
... greater than a semicircle . Now the angle BAC is greater than a right angle , for , since BD > AC , the straight lines BA , DC will , if produced , meet and form an isosceles triangle FAC , so that the angle FAC is less , and the angle ...
Pagina 329
... greater than the side of a regular polygon of 812 sides , and a fortiori greater than the side of a regular polygon of 1,000 sides , inscribed in the circle in which the sun revolves about the centre of the earth . Now the diameter of ...
... greater than the side of a regular polygon of 812 sides , and a fortiori greater than the side of a regular polygon of 1,000 sides , inscribed in the circle in which the sun revolves about the centre of the earth . Now the diameter of ...
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