The Elements of Euclid |
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Página 51
1 . to CE , and thro ' F draw FG parallel to AB ; and join AF . then because AC is equal to CE , the angle EAC is equal to the angle c . s . 1 . AEC ; and because the angle ACE is a right angle , the two others AEC , EAC together make ...
1 . to CE , and thro ' F draw FG parallel to AB ; and join AF . then because AC is equal to CE , the angle EAC is equal to the angle c . s . 1 . AEC ; and because the angle ACE is a right angle , the two others AEC , EAC together make ...
Página 281
KBOS meeting it in Z , and join BZ , ZK . and because AZ is per- pendicular to the plane KBOS , it makes right angles with every ftraight line meeting it in that plane ; therefore AZ is perpendicular to BZ and ZK . and because AB is ...
KBOS meeting it in Z , and join BZ , ZK . and because AZ is per- pendicular to the plane KBOS , it makes right angles with every ftraight line meeting it in that plane ; therefore AZ is perpendicular to BZ and ZK . and because AB is ...
Página 361
Because AB is given , a magnitude equal to it may be found 2 ; a . 1. Def , let this be DE . and becaufe BC is given , one equal to it may be found ; let this be EF . wherefore because AB is equal to DE , and BC equal to EF ; the whole ...
Because AB is given , a magnitude equal to it may be found 2 ; a . 1. Def , let this be DE . and becaufe BC is given , one equal to it may be found ; let this be EF . wherefore because AB is equal to DE , and BC equal to EF ; the whole ...
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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