The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 123
... magnitude is greater than the fame . multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . PROP . I. THEOR . any number of magnitudes be ...
... magnitude is greater than the fame . multiple of a less . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude . PROP . I. THEOR . any number of magnitudes be ...
Side 124
... magnitudes , which was here applied to two . ' Q. E. D. IF PROP . II . THEO R. F the firft magnitude be the fame multiple of the se- cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is ...
... magnitudes , which was here applied to two . ' Q. E. D. IF PROP . II . THEO R. F the firft magnitude be the fame multiple of the se- cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is ...
Side 127
... magnitude be the fame multiple of another , See N , which a magnitude taken from the first is of a mag- nitude taken from the other ; the remainder fhall be the fame multiple of the remainder , that the whole is of the whole . Let the ...
... magnitude be the fame multiple of another , See N , which a magnitude taken from the first is of a mag- nitude taken from the other ; the remainder fhall be the fame multiple of the remainder , that the whole is of the whole . Let the ...
Side 128
... magnitudes be equimultiples of two others , and if equimultiples of thefe be taken from the first two , the remainders ... magnitude CH , then the remainder KC is equal to the reminder 12.5 . A K C H B DEF HD : But KC is equal to F ; HD ...
... magnitudes be equimultiples of two others , and if equimultiples of thefe be taken from the first two , the remainders ... magnitude CH , then the remainder KC is equal to the reminder 12.5 . A K C H B DEF HD : But KC is equal to F ; HD ...
Side 129
... magnitudes are proportionals , they are propor- see N. tionals also when taken inversely . If the magnitude A be to B , as C is to D , then alfo inversely B is to A , as D to C. and Take of B and D any equimultiples whatever E and F ...
... magnitudes are proportionals , they are propor- see N. tionals also when taken inversely . If the magnitude A be to B , as C is to D , then alfo inversely B is to A , as D to C. and Take of B and D any equimultiples whatever E and F ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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