A Manual of Greek MathematicsDover Publications, 1963 - 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 449
... greater share in wisdom than bees , will investigate a problem of still wider import , namely that , of all equilateral and equiangular plane figures having an equal perimeter , that which has the greater number of angles is always greater ...
... greater share in wisdom than bees , will investigate a problem of still wider import , namely that , of all equilateral and equiangular plane figures having an equal perimeter , that which has the greater number of angles is always greater ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
Copyright | |
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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