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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 60

An illustration from A first course in analytical geometry, 1905, leaf 60
tf] = k\whence, 4 ax = ¥. A{-~a.o) 0 P(x.y) (a,o)B Fig. 51. . •. X = :r- is the equation of the required locus.4a It is a straight line ± to the x-axis. Ex. 5. A line parallel to the base of a A cuts off a trapezoid. Findthe locus of tha point of intersection of its diagonals.* Let the sides AB, AC… … ika,oWFig. 52. B(a.o) a kb And the equation of CD is X ka (1)(2) Subtract one equation from the other, and divide by [ 1 — ^^) , obtaining as a result ^=0, i/=—a: which is the required locus, a straight line, the median on BC. * Note. — The beginner should defer reading this exercise until hehas…

Geometry, Analytic

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