The Elements of Euclid |
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Página 292
Because by Prop . 32. B. 1. all the angles of the quadrilateral figure ABCD are together equal to four right angles , A and the two angles BAD , ADC are to- gether equal to the two angles BCD , ABC . wherefore BAD , ADC are the half of ...
Because by Prop . 32. B. 1. all the angles of the quadrilateral figure ABCD are together equal to four right angles , A and the two angles BAD , ADC are to- gether equal to the two angles BCD , ABC . wherefore BAD , ADC are the half of ...
Página 306
PROP . IV . B. V. In the conftruction , preceding the demonftration of this , the words & Tuxe , any whatever , are twice wanting in the Greek , as alfo in the Latin tranflations ; and are now added , as being wholly neceffary .
PROP . IV . B. V. In the conftruction , preceding the demonftration of this , the words & Tuxe , any whatever , are twice wanting in the Greek , as alfo in the Latin tranflations ; and are now added , as being wholly neceffary .
Página 460
PROP . LXX . This is Prop . 62. in the Greek text ; Prop . 78. in that text is only a particular case of it , and is therefore omitted . Dr. Gregory in the Demonstration of Prop . 62. cites the 49 . Prop . Dat . to prove that the ratio ...
PROP . LXX . This is Prop . 62. in the Greek text ; Prop . 78. in that text is only a particular case of it , and is therefore omitted . Dr. Gregory in the Demonstration of Prop . 62. cites the 49 . Prop . Dat . to prove that the ratio ...
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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