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 174
kenon it, such that the reciprocal of its distance from the givenpoint is equal to the sum of the reciprocals of the interceptsbetiveen the given point and given lines ; find the locus of thepoint of section. Let 0 be the given point, and AB, CD, EF, the given lines. Draw any transversal through 0,… … In tliis way we finally reduce the problem to (178). Hencethe required locus is a fixed straight line. 181. If through a given point within any number ofstraight lines a transversal be drawn, and a point taken onit, such that the reciprocal of its distance from the givenpoint is equal to the excess…
Geometry
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