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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 144
0 are drawnto the Oce of ADE the st. lines OA, OD, of which OD passesthrough P, .-. OD is greater than OA. IIL 8, Cor. But OA = OB; .. OD is greater than OB, ■which is impossible. .•. the centre of © ADE is not out of the radius OA. .. it lies in OA. Q. E. D. Bookm.] PROPOSITIOX XII. 137… … Let © ABC touch 0 ADE externally at the pt. A.Let 0 be the centre of S ABC.Join OA, and produce it to E.Then must the centre of 2 ADE lie in AE. For if not, let P be the centre of 0 ADE. Join OP meeting the G s in jB, X>; and join AP.Then.- OB=OA,aiidPD=AP, .: OB and PD together =0.-1 and AP…Geometry · Geometry, Plane
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