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 páginas |
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Página 119
... second , the multiple of the third is alfo lefs than that of the fourth ; or , if the multiple of the first be equal to that of the second , the multiple of the third is alfo equal to that of the fourth ; H 4 or , * Book V. See N. or ...
... second , the multiple of the third is alfo lefs than that of the fourth ; or , if the multiple of the first be equal to that of the second , the multiple of the third is alfo equal to that of the fourth ; H 4 or , * Book V. See N. or ...
Página 121
... second is to the first , as the fourth to the third . Prop . B. book 5 . XV . Componendo , by compofition ; when there are four proportion- als , and it is inferred , that the first , together with the second , is to the fecond , as the ...
... second is to the first , as the fourth to the third . Prop . B. book 5 . XV . Componendo , by compofition ; when there are four proportion- als , and it is inferred , that the first , together with the second , is to the fecond , as the ...
Página 122
... second to the third of the other ; and fo on in order , and the inference is as men- tioned in the preceding ... second rank ; and as the second is to the third of the first rank , fo is the laft but two to the last but one of the fecond ...
... second to the third of the other ; and fo on in order , and the inference is as men- tioned in the preceding ... second rank ; and as the second is to the third of the first rank , fo is the laft but two to the last but one of the fecond ...
Página 124
... second , that DE the third is of F the fourth ; and BG the fifth , the fame multiple of C the fecond , that EH the fixth is of F the fourth : Then is AG the firft , together with the fifth , the fame multiple of C the fecond , that DH ...
... second , that DE the third is of F the fourth ; and BG the fifth , the fame multiple of C the fecond , that EH the fixth is of F the fourth : Then is AG the firft , together with the fifth , the fame multiple of C the fecond , that DH ...
Página 125
... second , and the other of the fourth . Let A the first , be the fame multiple of B the fecond , that C the third is of D. the fourth ; and of A , C let the equimul- tiples EF , GH be taken : Then EF is the fame multiple of B , that GH ...
... second , and the other of the fourth . Let A the first , be the fame multiple of B the fecond , that C the third is of D. the fourth ; and of A , C let the equimul- tiples EF , GH be taken : Then EF is the fame multiple of B , that GH ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
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