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 263
t BA and AC are together equal to the sum of theradii BD and CE of the given circles. Therefore the theorem is reduced to this. Given base BC anddifference or sum of the two sides AB, AC of a triangle, the polar ofthe vertex A with respect to the circle (C) always touches a givencircle; which has… … Let AB, AC be the two fixed tangents, and let any tangentHD touch the circle at G and meet the chord of contact BC in D,then shall H, G, E, D form an harmonic range. Join AG, meetingBD in K. Because G is the pole of IID, and A of BC, therefore (239) Dis the pole of AG, and therefore DB is cut…
Geometry
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