Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 164
;= l EDF. I Ax. 7. Q. E. D. Bx. 1. If. in a circle, AI. CD \»- two arcs of given magni-nd I. BD be joined to meet in E, shew that the angleI .7; is invariable. _. The straight lines joining the extremities of hi< h >r«la of two equal arcs of the same circle, towards the sameparallel to each… … Let ABC, DEF be equal circles, and BC, EF equal chords,subtending the major arcs BAC, EDF, and the minor arcs BGC, EHF.Th<n mud arc BAC = arc EDF, and are B&C= arc EHF.Take the centres A. L, and join KB, KG, LE;LF.Then v KB=LE, and KC=LF, and BC=EF, .: 1 BKC = lELF. I.e. Hence, if • ABC be…
Geometry
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