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Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 132
er than <>i> I. 19. .. the distiince of D from 0 is less than the radius of the ©,and .. f) lies within the ©. Post. .And the sanu- may be shewn of any other pt. in AB... AB lies entirely within the ©. Q. E. D. Book III.] PROPOS1TIOX III. 125 Proposition III. Theorem. If a straight line,… … In the © ABC, let the chord AB, which does not passthrough the centre 0, be bisected in E by the diameter CD.Tlien must CD be x to AB. Join OA, OB.Then in a s AEO, BEO,V AE=BE, and EG is common, and OA = OB, .: t OEA= l OEB. I.e. Hence OE is ± to AB, I. Def. 9. that is, CD is ± to AB. Next let CD…Geometry
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