The Elements of Euclid |
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Página 199
PRO B. O erect a straight line at right angles to a given plane , from a point given in the plane . Let A be the point given in the plane ; it is required to erect a ftraight line from the point A at right an- gles to the plane . a From ...
PRO B. O erect a straight line at right angles to a given plane , from a point given in the plane . Let A be the point given in the plane ; it is required to erect a ftraight line from the point A at right an- gles to the plane . a From ...
Página 204
Book XI . to their common fection , are also at right angles to the other plane ; and any ftraight line FG in the plane DE , which is at 4.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be ...
Book XI . to their common fection , are also at right angles to the other plane ; and any ftraight line FG in the plane DE , which is at 4.4.Def.11 . right angles to CE the common fection of the planes , has been proved to be ...
Página 214
с Book XI , and the angle GMN is the inclination of the plane FBG to the plane FBH , which planes have therefore the fame inclination to 0.7.Def.11 . one another . and in the fame manner it may be demonftrated , that the other planes in ...
с Book XI , and the angle GMN is the inclination of the plane FBG to the plane FBH , which planes have therefore the fame inclination to 0.7.Def.11 . one another . and in the fame manner it may be demonftrated , that the other planes in ...
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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