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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 73

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 73
perpen-dicularity is J.1^2 + A^2 - (^1^2 + ^2^i) <^os « = 0. If, then, only parallel lines enter into a problem, obliquecoordinates may be used with advantage; but if it isnecessary to use perpendicular lines, oblique coordinatesshould be avoided- 56 ANALYTIC GEOMETRY [Ch. IV, § 38 The equation… … 38. Bisector of the angle between two lines. — Let theequations of the two lines AB and MN be (1) A,x + B,zj+C, = 0,and (2) A,x + B,j+C\=0, and let (2:, ?/) be anypoint on the bisector ofthe angle between them.Since every point in thebisector of an angle isequally distant from thesides, HP and KF…

Geometry, Analytic

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