The Elements of Euclid |
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Página 25
25 a equal to DE , and BC to EF , the two fides GB , BC are equal to Book 1 . the two DE , EF , each to each ; and the angle GBC is equal to the angle DEF ; therefore the base GC is equal to the base DF , and a . 4.
25 a equal to DE , and BC to EF , the two fides GB , BC are equal to Book 1 . the two DE , EF , each to each ; and the angle GBC is equal to the angle DEF ; therefore the base GC is equal to the base DF , and a . 4.
Página 219
с to DG , and from the point K erect KH at right angles to the Book XI , piane BAL ; and make KH equal to GF , and join AH . then the ' folid angle at A which is contained by the three plane angles BAL , c . 12. 11 . BAH , HAL is equal ...
с to DG , and from the point K erect KH at right angles to the Book XI , piane BAL ; and make KH equal to GF , and join AH . then the ' folid angle at A which is contained by the three plane angles BAL , c . 12. 11 . BAH , HAL is equal ...
Página 236
1. equal to DM ; therefore the remaining fides are equal , each to each . wherefore AB is equal to DE . In the fame manner , if HC and MF be joined , it may be demonftrated that AC is equal to DF ...
1. equal to DM ; therefore the remaining fides are equal , each to each . wherefore AB is equal to DE . In the fame manner , if HC and MF be joined , it may be demonftrated that AC is equal to DF ...
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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