A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 154
... PROBLEM OF THE TWO MEAN PROPORTIONALS In his commentary on Archimedes ' On the Sphere and Cylinder Eutocius has preserved for us an invaluable collection of solutions of this famous problem . One of them is that of Eratosthenes , which ...
... PROBLEM OF THE TWO MEAN PROPORTIONALS In his commentary on Archimedes ' On the Sphere and Cylinder Eutocius has preserved for us an invaluable collection of solutions of this famous problem . One of them is that of Eratosthenes , which ...
Pagina 437
... problem of finding two mean proportionals in continued proportion between two given straight lines . It begins with some general remarks about the distinction between theorems and problems , and lays special stress on the fact that it ...
... problem of finding two mean proportionals in continued proportion between two given straight lines . It begins with some general remarks about the distinction between theorems and problems , and lays special stress on the fact that it ...
Pagina
... problem of crown 333-5 : Liber assumptorum 284 , 338-40 : cattle - problem 284 , 336- 7 : Catoptrica 285 . Arithmetic : ' octads ' 19–20 : fractions 21 : value of 146 : approximations to √3 , 309-10 . On Aristarchus's heliocentric ...
... problem of crown 333-5 : Liber assumptorum 284 , 338-40 : cattle - problem 284 , 336- 7 : Catoptrica 285 . Arithmetic : ' octads ' 19–20 : fractions 21 : value of 146 : approximations to √3 , 309-10 . On Aristarchus's heliocentric ...
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