Inside Out Library
Elements of geometry : containing books I to III (1886)
Smith, J. Hamblin · Toronto : W.J. Gage · leaf 144
ADE the st. lines OA, <>l>. of which <>l> passesthrough /, .-. OD is greater than OA. III. 8, I or. Bui OA- OB ; ■ OD is greater than OB, which is imposfible. /. the centre of • .1 //. is nol oul of the radius OA. .. it lies in (> I. Q. & D. Book III.] PROPOSITION XII.… … Let © ABC touch 3 ADE externally at the pt. A.Let 0 be the centre of 0 ABC.Join OA, and produce it to E.Then must tin: centre of I ADE lie in AE. For if not, let P be the centre of 0 ADE. Join OP meeting the ©s in B, D ; and join AP.Then v OB=OA,and PD^AP, .. OB and PD together=CU and AP together…Geometry
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