Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 60
resent that line for which I = — — and b =B CB UB-. ■■ 0, the general equation reduces at once to 0X=~A 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… … 42 ANALYTIC GEOMETRY [Ch. IV, § 30 These coordinates must satisfy the equation. Substi-tuting, we have (1) Axl + By1 + C=^ (2) Ax2 + By2 + C=Q, (3) ^3+%3 + tf=0.Subtracting (2) from (1), we have - A (x2 - xx) = B(y2- y,), or % ~ xi = £ #1 ~ #2 A Subtracting (3) from (2), we have - A (xz - x2} =…
Geometry, Analytic
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