[alogo] Kiepert hyperbola

Given triangle t=(ABC). On its sides erect isosceli similar to a fixed one, DEF. The lines joining the vertices of t with the opposite apices of the isosceli meet at a common point J, varying on the [Kiepert hyperbola]. This is a rectangular hyperbola passing through the vertices of t, the orthocenter and other remarkable points of the triangle.

[0_0] [0_1] [0_2] [0_3]
[1_0] [1_1] [1_2] [1_3]
[2_0] [2_1] [2_2] [2_3]

Catch and modify point F of the isosceles to see how the corresponding point J glides on the Kiepert hyperbola. To see another remarkable point on this hyperbola look at the file: Vecten2.html .

For another interesting conic, related to the triangle look at Jerabek.html .

Produced with EucliDraw©