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 194
ege, Dublin, and Professor of Natural Philosophy in theUniversity. 199. Find the locus of the intersection of equal tangentsto two given circles, and prove that it is a straight line,perpendicular to the line joining the centres of the circlesand dividing this line, so that the difference of the… … Fig. i. Draw (Fig. 1) CO perpendicular to AB, and join AD, AC,BE, BC. The difference of the squares on AO and OB is equal to thedifference of the squares on AC and CB, and this difference is equalto the difference of the squares on AD and BE, since CD and CEare equal (hyp.). Therefore CO always…
Geometry
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