The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 292
... Prop . 28. B. 1. in the fame manner AD , BC are parallels . therefore ABCD is a parallelogram , and its oppofite fides are equal by 34. Prop . B. 1 . PROP . VII . B. I. There are two cafes of this Propofition , one of which is not in ...
... Prop . 28. B. 1. in the fame manner AD , BC are parallels . therefore ABCD is a parallelogram , and its oppofite fides are equal by 34. Prop . B. 1 . PROP . VII . B. I. There are two cafes of this Propofition , one of which is not in ...
Página 310
... Prop . C. of 5. Book , AB is to CK , as EF to GL . and CD , GH are equi - B multiples of CK , GL the fecond and fourth ; wherefore by Cor . Prop . 4 . B. 5. AB is to CD , as EF to GH . And if four magnitudes be pro- portionals according ...
... Prop . C. of 5. Book , AB is to CK , as EF to GL . and CD , GH are equi - B multiples of CK , GL the fecond and fourth ; wherefore by Cor . Prop . 4 . B. 5. AB is to CD , as EF to GH . And if four magnitudes be pro- portionals according ...
Página 460
Euclid Robert Simson. 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 Demonftration of Prop . 62. cites the 49 . Prop . Dat . to ...
Euclid Robert Simson. 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 Demonftration of Prop . 62. cites the 49 . Prop . Dat . to ...
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AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore