Conic Section: 3 Points, 2 Tangents

[b]Case:[/b] [i]Three points and two tangents are given.[/i]

NOTES: The points of tangency D, E are found using Involution (projection). I then know [i]five points,[/i] a case I can solve ([url]http://www.geogebratube.org/material/show/id/213219[/url]). When the solution exists, there are four choices. Drag D to any of the red diamonds. ________ Construction of the orange diamonds (double points of an involution): [url]http://www.geogebratube.org/material/show/id/243899[/url]