A Manual of Greek MathematicsClarendon Press, 1931 - 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 354
... gives the property of the subnormals in each of the curves ; he discusses the number of normals that can be drawn to the conic from any internal or external point ; and , most remarkable of all , he gives two difficult propositions ( V ...
... gives the property of the subnormals in each of the curves ; he discusses the number of normals that can be drawn to the conic from any internal or external point ; and , most remarkable of all , he gives two difficult propositions ( V ...
Pagina
... gives 100 : subtract 100 from 1000 , this gives 900 . Square 60 , this gives 3600 ; A - d2 : = 900 402 is 1600 : 3600 + 1600 = 5200. a2 + 82 = 5200 Multiply 5200 by 900 : this gives 4680000 . Multiply 40 by 10 , this gives 400 . Square ...
... gives 100 : subtract 100 from 1000 , this gives 900 . Square 60 , this gives 3600 ; A - d2 : = 900 402 is 1600 : 3600 + 1600 = 5200. a2 + 82 = 5200 Multiply 5200 by 900 : this gives 4680000 . Multiply 40 by 10 , this gives 400 . Square ...
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