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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)
Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 164
x. 7. Q. E, D. Ex. 1. If, in a circle, AB, CD be two arcs of given magni-tude, and AC, BD be joined to meet in E, shew that the angleAEB is invariable. Ex. 2. The straight lines joining the extremities of thechords of two equal arcs of the same circle, towards the sameparts, are parallel 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.Then must arc BAC = arc EDF, and arc BGC = arc EHF.Take the centres K, L, and join KB, KC, LE, LF.Then •.• KB=LE, and KC=LF, and BC=EF, .-. z BKC = L ELF. I. c. Hence, if © ABC be…Geometry · Geometry, Plane
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