Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 58
represent that line for which I = — —- and h =B B If ^ = 0, the general equation reduces at once to O which we know to be the equation of a line parallel to the3^-axis. We have then shownthat tlie general equationof the first degree ahvagsrepresents a straight line. Another method ofshowing that… … Fig. 31. 42 ANALYTIC GEOMETRY [Cii. IV, § :]0 These coordinates must satisfy the equation. Substi-tuting, we have (1) Ax^ + By^ + C=0, (2) Ar2 + %2 + (7=0, (3) Ax^ + By^ + C=0.Subtracting (2) from (1), we have - A 0^2 -x^)=B (?/2 - yi)» or ^0, -^^ B Vi -y^ A Subtracting (3): from (2), we have -A…
Geometry, Analytic
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