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 204
) AD : AE :: CD : CE, but AD is less than AE, therefore CD is less than CE, which isabsurd. Therefore the point E must lie upon PD or its productionthrough P. q. e. d. 206. Given two pairs of points in a straight line; finda point in the line such that the rectangle under its distancesfrom one pair… … Fig. i. this circle, describe the circle PBB\ meeting the first circle againin Q. Join PQ, and produce it (if necessary) to meet A A in 0.0 is the required point. For (III. 35, 36) OA . OA = OP.OQ = OB. OF. Cor. 1. Hence, given a fifth point C, we can find a sixth C,such that OC. OC = OA . OA = OB…
Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
