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 195
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… … Fig. 2. Therefore CO is a fixed straight line, and is therefore therequired locus.
Geometry
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