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 Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
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Side 121
... proportionals , fo as that they continue ftill to be • proportionals . ' XIII . Permutando , or alternando , by permutation , or alternately ; this word is ufed when there are four proportionals , and it is See N. inferred , that the ...
... proportionals , fo as that they continue ftill to be • proportionals . ' XIII . Permutando , or alternando , by permutation , or alternately ; this word is ufed when there are four proportionals , and it is See N. inferred , that the ...
Side 140
... proportionals , they fhall also be proportionals when taken separately ; that is , if two magnitudes together have to one of them the fame ratio which two others have to one of these , the remaining one of the first two shall have to ...
... proportionals , they fhall also be proportionals when taken separately ; that is , if two magnitudes together have to one of them the fame ratio which two others have to one of these , the remaining one of the first two shall have to ...
Side 179
... proportionals . Again , a 1. def . 6 . because B is fimilar to C , they are equiangu- lar , and have their fides about the equal angles A proportionals : There- fore the figures A , B B are each of them equi- angular to C , and have the ...
... proportionals . Again , a 1. def . 6 . because B is fimilar to C , they are equiangu- lar , and have their fides about the equal angles A proportionals : There- fore the figures A , B B are each of them equi- angular to C , and have the ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon 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 parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore