A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 33
... square root would be some number of tens or hundreds or thousands , & c . , and would have to be found by trial like the first term of the quotient in a long division . If A is the number the square root of which is required , while a ...
... square root would be some number of tens or hundreds or thousands , & c . , and would have to be found by trial like the first term of the quotient in a long division . If A is the number the square root of which is required , while a ...
Pagina 44
Sir Thomas Little Heath. natural numbers is a triangular number . This is seen diagrammatically thus : In general , 1 + 2 + 3 + . .. + n = { n ( n + 1 ) is a triangular number with side n . ( b ) Square numbers and gnomons . It is easy ...
Sir Thomas Little Heath. natural numbers is a triangular number . This is seen diagrammatically thus : In general , 1 + 2 + 3 + . .. + n = { n ( n + 1 ) is a triangular number with side n . ( b ) Square numbers and gnomons . It is easy ...
Pagina 239
... square and cube numbers by Plato in the Timaeus , and Nicomachus calls them ... number , the numbers are similar plane numbers ( 2 ) ; the product of two ... square ( or a cube ) , all the succeeding terms are squares ( or cubes ) ; if a ...
... square and cube numbers by Plato in the Timaeus , and Nicomachus calls them ... number , the numbers are similar plane numbers ( 2 ) ; the product of two ... square ( or a cube ) , all the succeeding terms are squares ( or cubes ) ; if a ...
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