The Elements of Euclid |
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Página 199
199 therefore GH is perpendicular to AF , and confequently AF is Book XI . perpendicular to GH . and AF is perpendicular to DE ; therefore AF is perpendicular to each of the ftraight lines GH , DE . but if a straight line stands at ...
199 therefore GH is perpendicular to AF , and confequently AF is Book XI . perpendicular to GH . and AF is perpendicular to DE ; therefore AF is perpendicular to each of the ftraight lines GH , DE . but if a straight line stands at ...
Página 201
From the point B draw BG perpendicular to the plane which a . 11. 11 . paffes through DE , EF , and let it meet that plane in G ; and through G draw GH parallel to ED , and GK parallel to EF . b . 31. 1 . and because BG is perpendicular ...
From the point B draw BG perpendicular to the plane which a . 11. 11 . paffes through DE , EF , and let it meet that plane in G ; and through G draw GH parallel to ED , and GK parallel to EF . b . 31. 1 . and because BG is perpendicular ...
Página 204
Def.11 . right angles to CE the common fection of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at right angles to the plane CK . In like manner , it may be proved that all the planes ...
Def.11 . right angles to CE the common fection of the planes , has been proved to be perpendicular to the other plane CK ; therefore the plane DE is at right angles to the plane CK . In like manner , it may be proved that all the planes ...
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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 |