A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 41
... measured by a unit alone ' , a composite number ' that which is measured by some number ' ; numbers prime to one another are numbers ' measured by a unit alone as common measure ' , and numbers composite to one another are those ' measured ...
... measured by a unit alone ' , a composite number ' that which is measured by some number ' ; numbers prime to one another are numbers ' measured by a unit alone as common measure ' , and numbers composite to one another are those ' measured ...
Pagina 237
Sir Thomas Little Heath. m measures a the same number of times that n measures b , and that numbers prime to one ... measure one of the two ; ( 32 ) any number either is prime or is measured by some prime number . Propositions 33-9 ...
Sir Thomas Little Heath. m measures a the same number of times that n measures b , and that numbers prime to one ... measure one of the two ; ( 32 ) any number either is prime or is measured by some prime number . Propositions 33-9 ...
Pagina 238
Sir Thomas Little Heath. not measure b3 , a does or does not measure b , and vice versa ( 14-17 ) . If a , b , c are in geometrical progression , so are a2 , b2 , c2 ... and a3 , b3 , c3 ... respectively ( 13 ) . Given any number of ...
Sir Thomas Little Heath. not measure b3 , a does or does not measure b , and vice versa ( 14-17 ) . If a , b , c are in geometrical progression , so are a2 , b2 , c2 ... and a3 , b3 , c3 ... respectively ( 13 ) . Given any number of ...
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