[alogo] Homofocal ellipse and hyperbola

The tangents to an ellipse and a homofocal hyperbola at each one of their intersection points P are perpendicular. The circle through the point P and the common focal points F1, F2 passes also through the intersection points Q1, Q2 of the tangents with the minor axis.

[0_0] [0_1]
[1_0] [1_1]

The two conics, considering their geometric definition as loci having constant sum/difference of distances from the two foci (F1, F2 common to the two conics), have their tangents coincide with the exterior/interior bisector of angle F1PF2 (see Ellipse.html ).

See Also


Return to Gallery

Produced with EucliDraw©