Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 53
on it, or a singlepoint and the direction of the line. If either of these setsof conditions is given, the line is fully determined, and weshould be able to find the algebraic relation which must besatisfied by every point on it. 23. Line through two points. — Let the line pass throughthe two points… … Ch. IV, § 23] THE STRAIGHT LINE Substituting these values, we have V - 2/i 2/2 2/i OC — OCi Xz — OCi 35 [5] This is then the algebraic relation between the coordi-nates x and y of any point on the line and the constantsxv t/v x2, and ?/2, and is therefore the equation of the line.It is called the…
Geometry, Analytic
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