[1] The center O of the hyperbola is the projection of the orthocenter H on the median AA' of ABC.

[2] The intersection points {B

[3] The other intersection points {B

[1] follows from the discussion in the aforementioned reference. There we saw that, to determine O, we construct a right-angled triangle similar to BCQ, Q being the intersection point of the circle with diameter BC with the median AA'. Then we form the right-angled triangles with the other sides of the triangle {BQB

[2] follows from the remarks made in RectHypeParaChords.html , according to which, the other intersection points {B',C'} of the hyperbola with all circles passing through {B,C} define lines parallel to a fixed direction L

Taking C

To see [3] consider triangle BCC

Note that AA

BitangentRectangularMember.html

Euler.html

MedianProperty.html

ProjectiveCoordinates.html

TriangleConics.html

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