Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 54
that they bisect each other. 9. What system of lines is represented by the equation y X -+. a o 1, if we keep a constant and allow b to vary ? if we keep b constant and allowa to vary ? 26. Line determined bya point and its direction.— If the second condi-tion mentioned in Art.22 be given, — a… … Fig. 29. 38 ANALYTIC GEOMETRY [Ch. IV, § 27 the positive direction of the X-axis measured in the posi-tive direction of rotation. In the triangle KPXP, KP P1iT=UU^ But for all positions of P, KP = y-yv PXK= x — xv and tan KPXP = tan 7. Hence y ~y^ = tan 7,x — x1 or y - yl = t&nv(x-xl). Tan 7 is…
Geometry, Analytic
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