Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 205
es through the points P, Q,intersecting the indefinite straight line A A. These points of in-tersection will be the required points. N.B. When the point Q coincides with P, that is, when thesecond circle PBB touches the first circle PA A at P (which isevidently only possible in figure 1), we must… … Fig. 2. It is hardly necessary to remark that only one such point as 0exists, for which OA . OA = OB . OB, for 0 is clearly the pointwhere the radical axis of the two circles PAA\ PBB meetsAA\ Def. 1. Three pairs of points A, A; B, Bj C, C, sotaken on a straight line that OA.OA= OB. OB= 00. OC, are…
Geometry
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