Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 34
each of these equals the z ABC ; then z ABE= z ABD, Ax. 3. that is, the less=the greater ; which is impossible, •. BE is not in the same st. line with BC. Similarly it may be shewn that no other line but BD is inthe same st. line with BC. ,*. BD is in the same st. line with BC. Q. E. D. Ex; Shew… … Let the st. lines AB, CD cut one another in the pt. E. Then must l AEC= l BEI) and z AED= l BEC.For •.• AE meets CD, .. sum of z s AEC, AED=t\YO rt. z s. I. 13. And •. DE meets AB, .: sum of z s BED, AED = two rt. z s ; I. 13..-. sum of z s AEC, AED=sum of z s BED, AED ; .-. z AEC= z BED. Ax. 3.…
Geometry
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