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 155
Then •.• OA = OC, :.L OCA = lOAC; . sum of z s OCA, OAC = twice i OAC. But z BOC = sum of z s OCA, OAC, .: lBOC= twice z OAC. that is, z BOC = twice z BAC. I. A. L32. 148 EUCLIDS ELEMENTS. [Book nl. Next, suppose 0 to be within (fig 1), or without (fig. 2) theL BAC. Fig. 2. … Join AO, and produce it to meet the Oce in D. Then, as in the first case, z COD = twice z CAD, and z BOD = twice z BAD ; .-., fig. 1, sum of z s COD, BOD = twice sum of z s CAD,BAD, that is, z ^OC = twice z BAC. And, fig. 2, difference of z s COD, BOD = twice differenceof z s cJb, BAD, that is, l…
Geometry · Geometry, Plane
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