Part of CG-01 — Straight Lines

General Pair of Straight Lines

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The equation ax2ax^2 + 2hxy + by2by^2 + 2gx + 2fy + c = 0 represents a pair of lines when Delta = abc + 2fgh - af2af^2 - bg2bg^2 - ch2ch^2 = 0. The point of intersection is found by solving partial derivatives: ax + hy + g = 0 and hx + by + f = 0. The angle between the lines is the same formula as the homogeneous case: tan(theta) = 2*sqrt(h2h^2 - ab)/|a + b|.

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