Elements of geometry, containing books I and II with exercises and notes (1882)
Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 69
the same method of proof applies. 62 EUCLIDS ELEMEXTS. [Book L Case III. If the sliles opposite to BQ be terminated inthe same point i>, 4 IX r \/ \/ ■ the same method of proof is iipplicable,but it is easier to reason thus :Ea?h of the Os is double of A BDC; I. 34. .-. £J ABCD=nJ DBCF. Q. E. D.… … Let the Os ABCD, EFGH be on equal bases BC, FG,and between the same lis AH, BG. Then must O ABCD^EO EFGH.Join BE, CH.Then ■.•BC=FG, * Hyp, i^ud EH=FG, 1.34. .\BC=EH;and BC is |1 to EH. Hyp. .-. EB is il to CH ; I. 33. .. EBCH is a parallelogi-am.Xow O EBCH= CJABCD, I. 35. .• they are on the same…
Geometry
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