A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 179
... applied it [ in the form of a rectangle ] to the given straight line in the circle , it is deficient by a figure [ rectangle ] similar to the very figure which is applied ' . Here we have practically the phraseology of the ' application ...
... applied it [ in the form of a rectangle ] to the given straight line in the circle , it is deficient by a figure [ rectangle ] similar to the very figure which is applied ' . Here we have practically the phraseology of the ' application ...
Pagina 233
... applied to AB but exceeding by a parallelogram similar and similarly situated to D. ) Now consider the parallelogram AQ applied to AB but falling short by SR which is similar and similarly situated to D. Since ( AO ) = ( ER ) and ( OS ) ...
... applied to AB but exceeding by a parallelogram similar and similarly situated to D. ) Now consider the parallelogram AQ applied to AB but falling short by SR which is similar and similarly situated to D. Since ( AO ) = ( ER ) and ( OS ) ...
Pagina
... applied . The third is as follows : xx2 + ax = u2 , Bx2 + bx = v2 , and requires different treatment . It could have been transformed into a case of a double - equation of the first degree by substituting 1 / y for x , but Diophantus ...
... applied . The third is as follows : xx2 + ax = u2 , Bx2 + bx = v2 , and requires different treatment . It could have been transformed into a case of a double - equation of the first degree by substituting 1 / y for x , but Diophantus ...
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