Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 58
present that line for which 1 = and b= — If B B B 0, the general equation reduces at once to a X = — which we know to be the equation of a line parallel to they-axis. We have then shownthat the general equationof the first degree alwaysrepresents a straight line. Another method ofshowing that the… … 42 ANALYTIC GEOMETRY [Ch. IV, § 30 These coordinates must satisfy the equation. Substituting, we have (1) Ax1 + By1 + C=Q, (2) Ax2 + By2 + C=0, (3) ^%+%8 + (7=0.Subtracting (2) from (1), we have -A(x2- xx) = B(y2- yi),xn — x, B or i - y\-y<i A Subtracting (3) from (2), we have - A (xz - z2) = B…
Geometry, Analytic
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