In particular, if B, E are symmetric w.r. to the center F of the hyperbola, then HFGA is a parallelogram and the asymptotic lines are bisectors of the angle(GFH).

In fact, from the orthogonality at F and the equality of DA, BC (see HyperbolaAsymptoticProperty.html ) follows that FGD and FHI are isosceli triangles.

For an interesting application of this property to triangles with vertices on a rectangular hyperbola see the file OrthoRectangular.html .

EqualBisectorsHyperbola.html

Hyperbola.html

HyperbolaAsymptoticProperty.html

HyperbolaAsymptotics.html

HyperbolaRectangular.html

OrthoRectangular.html

RectHyperbola.html

RectHypeRelation.html

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