A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 51
... third ; the geometric mean when the first is to the second as the second is to the third ; the ' subcontrary which we call harmonic ' when the three terms are such that , by whatever part of itself the first exceeds the second , the ...
... third ; the geometric mean when the first is to the second as the second is to the third ; the ' subcontrary which we call harmonic ' when the three terms are such that , by whatever part of itself the first exceeds the second , the ...
Pagina 124
... third part of a circle to a third part ' . This has led some to think that in this last sentence тunμата ( properly ' segments ' ) is used in the sense of ' sectors ' , since a segment which is a third part of a circle is not easy to ...
... third part of a circle to a third part ' . This has led some to think that in this last sentence тunμата ( properly ' segments ' ) is used in the sense of ' sectors ' , since a segment which is a third part of a circle is not easy to ...
Pagina 225
... third to the fourth , when , if any equimultiples whatever be taken of the first and third , and any equimultiples whatever of the second and fourth , the former equimultiples alike exceed , are alike equal to , or are alike less than ...
... third to the fourth , when , if any equimultiples whatever be taken of the first and third , and any equimultiples whatever of the second and fourth , the former equimultiples alike exceed , are alike equal to , or are alike less than ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
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