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 134
e square on the tangent from Q tothe given circle. From G draw the tangents GC and GF, meeting the givencircle at the points C and F respectively. Join QC and QF andproduce these lines, if necessary, to meet the given circle againin A and D. Join AP, PD meeting the circle again in B and E.Join BC,… … (III. 22) the angles CGQ and CAB are equal, but GG is a tangentto the circle at C, and CB is drawn from the point of contact,therefore (III. 32) the angle BCG is equal to the angle GAB inthe alternate segment. Therefore the angles CGQ and BCG areequal, and therefore (I. 27) the straight lines BC…
Geometry
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