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K1448

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X(1), X(399), X(517), X(3465), X(5526), X(5527), X(6326), X(11697), X(13541), X(13866), X(47623), X(56741), X(64761), X(68402), X(71537), X(71538), X(71539), X(71540), X(71541), X(71542), X(71543), X(71544), X(71545), X(71546)

vertices of the excentral triangle

Geometric properties :

K1448 is the excentral-polar-circle-inverse of the Feuerbach hyperbola.

It is a strophoid with singular focus X(6326) = excentral-polar-circle-inverse of X(80), and node X(1) with nodal tangents parallel to the asymptotes of the Feuerbach hyperbola.

Peter Moses notes that K1448 is K025 of the excentral triangle.

K1448 is the pedal curve with respect to X(1) of the parabola with directrix the line X{1,3} and focus X(5531) which is the excentral-polar-circle-inverse of the Feuerbach point X(11).