Problem: To construct all conics passing through three given points A, B, C and tangent to a given line e, the line separating the points. Here is the illustration of the solution discussed in AllConicsCircumscribed.html , for the case of line (e) not separating the points. There the solutions are conics of all kinds, whereas here only hyperbolas appear in the family. The members of the conics family are determined by the position of point D (contact point) on line e. Catch and move (CTRL+2) D to view the various members of the family. The family contains again three singular members (pairs of intersecting lines (AB,CC*), (BC,AA*), (CA,BB*)), obtained when D coincides with C*, A*, B*.
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All conics circumscribing a triangle + tangent to a line ![[0_0]](AllConicsCircumscribed2_files/AllConicsCircumscribed2_0_0_0.png)
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