The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 106
eady found. (4.) Given the base of an isosceles triangle, find the locus ofthe vertex. Ans. A straight line perpendicular to the base and bisect- (5.) Given the base and the ratio of the sides of a triangle,find the locus of the vertex. Let the base be the axis ^ of X, and its middle pointthe… … Z>P= ^{x-cf ^y\ LOCI. 99 The equation of the required locus may, therefore, be written squaring and clearing of fractions, this becomes nr \{x - c-y- +/] = 71 \{x + cY +/],or (w- - if) x^ - 2 {7n^ + it^) c X -{■ {m^ — ti^) y + {nv^ — rF) c^ = o,which may be written x^ - 2 —^ 2 ^ ^ + y^ + r z= o.…
Geometry, Analytic -- Plane
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