A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 229
Sir Thomas Little Heath. height are respectively as their bases , and the last ( 33 ) , to the effect that in equal circles angles at the centre or at the circumference respectively are as the arcs on which they stand , both use the ...
Sir Thomas Little Heath. height are respectively as their bases , and the last ( 33 ) , to the effect that in equal circles angles at the centre or at the circumference respectively are as the arcs on which they stand , both use the ...
Pagina 249
... respectively will be to one another as the respective bases . Let the two pyramids and their volumes be denoted by P , P ' respectively , and their bases by B , B ' respectively . Then , if B : B ' is not equal to P : P ' , it must be ...
... respectively will be to one another as the respective bases . Let the two pyramids and their volumes be denoted by P , P ' respectively , and their bases by B , B ' respectively . Then , if B : B ' is not equal to P : P ' , it must be ...
Pagina 300
... respectively , and then , by increasing the num- ber of sides in the polygons respectively , compresses the solids into coalescence with one another and with the included sphere or segment , finally confirming his results by exhaustion ...
... respectively , and then , by increasing the num- ber of sides in the polygons respectively , compresses the solids into coalescence with one another and with the included sphere or segment , finally confirming his results by exhaustion ...
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