Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)
Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 54
E V. OX THE SIXTH POSTULATE. 47 Note 5. On the Si^th Fodulate. la the place of Euclids Sixth Postulate many modernwriters on Geometry propose, as more evident to the senses,the following Postulate :— Tico straight lines which cut one another cannot both heparallel to the same straight line.^ If… … For if not, suppose AB and CD to be parallel.Then •/ z s AGH, 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, .-. xV.Yisllto CD. I. 27. Thus…
Geometry · Geometry, Plane
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