The Elements of Euclid |
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Página 28
STRAIGHT lines which are parallel to the fame ftraight line , are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD . Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the ...
STRAIGHT lines which are parallel to the fame ftraight line , are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD . Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the ...
Página 35
equal b to the triangle EBC , because it is upon the fame bafe BC , Book I. and between the fame parallels BC , AE . ... E therefore AE is not parallel to BC . in the fame manner it can be demonftrated B that no other line but AD is ...
equal b to the triangle EBC , because it is upon the fame bafe BC , Book I. and between the fame parallels BC , AE . ... E therefore AE is not parallel to BC . in the fame manner it can be demonftrated B that no other line but AD is ...
Página 202
TF two parallel planes be cut by another plane , their common fections with it are parallels . Let the parallel planes AB , CD be cut by the plane EFHG , and let their common fections with it be EF , GH . EF is parallel to GH .
TF two parallel planes be cut by another plane , their common fections with it are parallels . Let the parallel planes AB , CD be cut by the plane EFHG , and let their common fections with it be EF , GH . EF is parallel to GH .
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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 |