The Elements of Euclid |
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Página 134
In like manner it may be fhewn that LM is greater than MF N B E L b . 5. 5 . C. 6. 5 . NP . Therefore if KO be not greater than KH , then GH the multiple of AB is always greater than KO the GA multiple of BE ; and likewife LM the ...
In like manner it may be fhewn that LM is greater than MF N B E L b . 5. 5 . C. 6. 5 . NP . Therefore if KO be not greater than KH , then GH the multiple of AB is always greater than KO the GA multiple of BE ; and likewife LM the ...
Página 350
B. XII The Demonftration of this is imperfect , because it is not fhewn that the triangular pyramids into which thofe upon multangular bafes are divided , are fimilar to one another , as ought neceffarily to have been done , and is done ...
B. XII The Demonftration of this is imperfect , because it is not fhewn that the triangular pyramids into which thofe upon multangular bafes are divided , are fimilar to one another , as ought neceffarily to have been done , and is done ...
Página 423
... as has been fhewn in the preceding demonftration , a triangle fimilar to ABC can be defcribed in the fegment EGF upon the bafe EF , and the ratio of its perpendicular to the bafe is the fame , as was there fhewn , with the ratio of ...
... as has been fhewn in the preceding demonftration , a triangle fimilar to ABC can be defcribed in the fegment EGF upon the bafe EF , and the ratio of its perpendicular to the bafe is the fame , as was there fhewn , with the ratio of ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |