cartesian form of normal to an ellipse
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The normal to a curve is a line perpendicular to the tangent to curve through the point of contact. Point form: The equation of the normal to the ellipse x2/a2 + y2/b2 = 1 at the point (x1, y1) is a2x/x1 - b2y/y1 = a2 - b2.
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