The Elements of Euclid |
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Página 52
H G F C D B equal to the fquares of EG , GF ; therefore the fquare of EF is double of the fquare GF . and GF is equal to CD ; therefore the fquare of EF is double of the fquare of CD . but the fquare of AE is likewife double of the ...
H G F C D B equal to the fquares of EG , GF ; therefore the fquare of EF is double of the fquare GF . and GF is equal to CD ; therefore the fquare of EF is double of the fquare of CD . but the fquare of AE is likewife double of the ...
Página 53
47. t . to the fquares of EC , CA ; therefore the fquare of EA is double of the fquare of AC . again , because GF is equal to FE , the square of GF is equal to the fquare of FE ; and therefore the squares of GF , FE are double of the ...
47. t . to the fquares of EC , CA ; therefore the fquare of EA is double of the fquare of AC . again , because GF is equal to FE , the square of GF is equal to the fquare of FE ; and therefore the squares of GF , FE are double of the ...
Página 105
KFC , and the angle BKF to FKC . wherefore the angle BFC is double of the angle KFC , and BKC double of FKC . for the fame reafon , the angle CFD is double of the angle CFL , and CLD double of CLF . and because the circumference BC is ...
KFC , and the angle BKF to FKC . wherefore the angle BFC is double of the angle KFC , and BKC double of FKC . for the fame reafon , the angle CFD is double of the angle CFL , and CLD double of CLF . and because the circumference BC is ...
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Términos y frases comunes
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 |