A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 147
... gives the lengths of chords of a circle sub- tended by angles at the centre of 1 ° , 1 ° , 11 ° , and so on by half - degrees . The chords are expressed in terms of 120th parts of the diameter . If 1o is one such part , the Table gives ...
... gives the lengths of chords of a circle sub- tended by angles at the centre of 1 ° , 1 ° , 11 ° , and so on by half - degrees . The chords are expressed in terms of 120th parts of the diameter . If 1o is one such part , the Table gives ...
Pagina 473
... gives x + 2x + x + 5 + 2x + 4 = x , x = 84 . The great work of Diophantus is the Arithmetica , of which six Books ... give the fragment on Polygonal Numbers as Book VIII . The missing Books were apparently lost before the tenth century ...
... gives x + 2x + x + 5 + 2x + 4 = x , x = 84 . The great work of Diophantus is the Arithmetica , of which six Books ... give the fragment on Polygonal Numbers as Book VIII . The missing Books were apparently lost before the tenth century ...
Pagina 528
... gives 100 : subtract 100 from 1000 , this gives 900 . Square 60 , this gives 3600 ; 402 is 1600 : 3600 + 1600 Multiply 5200 by 900 : this gives 4680000 . A - d2 = 900 = 5200 . a2 + 82 = 5200 ( x2 + ẞ2 ) ( A — d2 ) = 4680000 Multiply 40 ...
... gives 100 : subtract 100 from 1000 , this gives 900 . Square 60 , this gives 3600 ; 402 is 1600 : 3600 + 1600 Multiply 5200 by 900 : this gives 4680000 . A - d2 = 900 = 5200 . a2 + 82 = 5200 ( x2 + ẞ2 ) ( A — d2 ) = 4680000 Multiply 40 ...
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