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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Resultados 1-5 de 27
Página 145
... case , C is to B , as F to E , and in like manner B is to A , as E to D ; therefore F is greater than D , by the first cafe ; and therefore cCor . 13.5 d 10. 5 . e 7.5 . f 11. 5 . A B DEF g 9.5 . A B DEF Dis lefs than F. Therefore , if ...
... case , C is to B , as F to E , and in like manner B is to A , as E to D ; therefore F is greater than D , by the first cafe ; and therefore cCor . 13.5 d 10. 5 . e 7.5 . f 11. 5 . A B DEF g 9.5 . A B DEF Dis lefs than F. Therefore , if ...
Página 219
... case , the angle ABC is greater than the angle MXL , and the angle GHK greater than the angle LXN . At the point B in the straight line CB make the angle CBP equal to the angle GHK , and make BP equal to B P E H Ала A D G F R K HK , and ...
... case , the angle ABC is greater than the angle MXL , and the angle GHK greater than the angle LXN . At the point B in the straight line CB make the angle CBP equal to the angle GHK , and make BP equal to B P E H Ала A D G F R K HK , and ...
Página 303
... case , as in fig . 2 . PROP . I. If two equal ftraight lines AC , BD , be each at right angles to the fame straight line AB : If the points C , D be joined by the ftraight line CD , the ftraight line EF drawn from any point E in AB unto ...
... case , as in fig . 2 . PROP . I. If two equal ftraight lines AC , BD , be each at right angles to the fame straight line AB : If the points C , D be joined by the ftraight line CD , the ftraight line EF drawn from any point E in AB unto ...
Página 307
... case of a Propofition that requires a different demonstration , ought to be omitted . On this account , we have ... cases . PROP . XIV . B. II . In the demonftration of this , fome Greek editor has ig- norantly inferted the words , " but ...
... case of a Propofition that requires a different demonstration , ought to be omitted . On this account , we have ... cases . PROP . XIV . B. II . In the demonftration of this , fome Greek editor has ig- norantly inferted the words , " but ...
Página 308
... case ought not to have been omitted ; but the conftruction in the Greek text would not have fuited with this figure fo well , because the centres of the circles muít have been placed near to the cir- cumferences : On which account ...
... case ought not to have been omitted ; but the conftruction in the Greek text would not have fuited with this figure fo well , because the centres of the circles muít have been placed near to the cir- cumferences : On which account ...
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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