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 101
ID [107. given, that is (VI. 1), SA : AD. Therefore the problem isreduced to the last, and the locus is therefore a fixed circle,with its centre on the straight line passing through A and 0. 107. A triangle is given in species, one vertex turns rounda fixed point, whilst another vertex moves along… … find the locus of C. Join AO, and make the angles DAO, DO Arespectively equal to the angles CAB, CBA, so that AOD is a fixedtriangle. Because the angles DAO and CAB are equal (constr.),therefore the angles BAO and CAD are equal. Because the triangles DAO and CAB are equiangular, there-fore (VI. 4).…
Geometry
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