Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 54
V. OX THE SIXTH POSTULATE. 47 XoTE 6. 0)1 the Sixth Postulate, In the place of Euclids Sixth Postulate many modemwriters on Geometry propose, as more evident to the senses,the following Postulate :— Two straight lines ichich cut one o/aoth.r cannot both he-parallel to the same straight line If this… … For if not, suppose AB and CD to be parallel.Then •/ z s AGR, BGH together=two rt. z s, I. 13. and z s GHD, BGH are together less than two rt. z s,.. z AGH is greater than z GHD.Make z MGH= z GHD, and produce MG to N.Then *.• the alternate z s MGH, GHD are equal, .-. JAY is II to CD. 1.27. Thus two…
Geometry
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