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Given a point D and a general conic C, what is the line joining the tangency points of the tangents to E and F through D?
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Create an ellipse and a hyperbola with the same foci and incident point, and inspect the angle between the tangents at the point.
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Point C runs along the line Y=b, while points A and B are fixed at locations (-a,0) and (a,0) respectively. CAD is angle α and CBD is β.
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W e examine this locus for a general isosceles triangle, whose vertices are located at (-a,0), (a,0) and (0,b). We parameterize the family by forcing...
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To construct the conic with given foci tangent to a given line, we reflect one focus in the line, then join the reflection to the other focus. The in...
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We examine the axis intersections of a conic with a general equation:
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