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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Resultat 1-5 av 60
Side 120
... proportionals . N. B. When four magnitudes are proportionals , it is • ufually expreffed by faying , the firft is to the fecond , as the third to the fourth . ' " VII . When of the equimultiples of four magnitudes ( taken as in the ...
... proportionals . N. B. When four magnitudes are proportionals , it is • ufually expreffed by faying , the firft is to the fecond , as the third to the fourth . ' " VII . When of the equimultiples of four magnitudes ( taken as in the ...
Side 121
... proportionals , so as that they continue ftill to be ' proportionals . ' XIII . Permutando , or alternando , by permutation , or alternately ; this word is used when there are four proportionals , and it See N. is inferred , that the ...
... proportionals , so as that they continue ftill to be ' proportionals . ' XIII . Permutando , or alternando , by permutation , or alternately ; this word is used when there are four proportionals , and it See N. is inferred , that the ...
Side 129
... 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 ; and of A and C ...
... 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 ; and of A and C ...
Side 136
... proportionals , as one of the antecedents is to its confequent , fo fhall all the antecedents taken together be to all the confequents . Let any number of magnitudes A , B , C , D , E , F , be propor- tionals ; that is , as A is to B ...
... proportionals , as one of the antecedents is to its confequent , fo fhall all the antecedents taken together be to all the confequents . Let any number of magnitudes A , B , C , D , E , F , be propor- tionals ; that is , as A is to B ...
Side 139
... proportionals they fhail alfo be proportionals when taken alter- nately . Let the four magnitudes A , B , C , D be proportionals , viz . as A to B , fo C to D : They shall also be proportionals when taken alternately ; that is , A is to ...
... proportionals they fhail alfo be proportionals when taken alter- nately . Let the four magnitudes A , B , C , D be proportionals , viz . as A to B , fo C to D : They shall also be proportionals when taken alternately ; that is , A is to ...
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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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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore