A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 65
... ratio , three terms formed as follows , namely or a , a + b , a + 2b + c , c , c + b , c + 2b + a , are in geometrical progression with one or other of the above types of ratio as common ratio . Suppose , for example , that the original ...
... ratio , three terms formed as follows , namely or a , a + b , a + 2b + c , c , c + b , c + 2b + a , are in geometrical progression with one or other of the above types of ratio as common ratio . Suppose , for example , that the original ...
Pagina 225
... ratio : ' Magnitudes are said to be in the same ratio , the first to the second and the 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 ...
... ratio : ' Magnitudes are said to be in the same ratio , the first to the second and the 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 ...
Pagina 230
... ratio compounded of the ratios of their sides ) is highly important in itself , and also because it introduces us to the method of compounding , i.e. multiplying , ratios , a practical method of very wide application in Greek geometry ...
... ratio compounded of the ratios of their sides ) is highly important in itself , and also because it introduces us to the method of compounding , i.e. multiplying , ratios , a practical method of very wide application in Greek geometry ...
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