Elements of geometry for the use of schools (1854)
Ireland. Board of National Education · Dublin : A. Thom · leaf 67
e, for in-stance, that B C, moving on the point B,recedes from A B, and approaches B E. Itis evident, that by this motion the angle Bwould be made wider and wider; and theangle C would, on the contrary, become closerand closer. This might lead us to suspect thatthe diminution of the angle C would… … LXIII. Now this presumed inference involves itsown demonstration. For, draw I D parallelto A C. It will be evident, in the first place, JJ£j£that the angles A C B and C B D (called %£%£alternate angles) will he equal; for. as the ^eofl^»ilines AC and IB are parallel, their in- JSfcJi?clination…
Geometry
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