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 119
Join CO and produce CO to meet PQ in D. Bisect AB in Hand join HO. It is clear that FO and OE are rectangles, andsince FH and HE are equal, therefore CO and OB are equal,therefore CD is a diameter, and therefore PQ touches the circleat D. Next (Fig. 2), let the given straight lines meet in L.… … Fig. 2. Describe a circle through A, B, C. This is the required circle. 129.] AND IN MODERN GEOMETRY. 91 Through C draw CGD perpendicular to LH and meeting LMin D. Because AF. FB=CFa, therefore (III. 37) LQ touches thecircle at the point C. It is plain (I. 2Q) that CG and GD, CFand DE are equal;…
Geometry
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