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K1461

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X(4), X(8), X(20), X(30), X(146), X(616), X(617), X(621), X(622), X(5180), X(12317), X(13512), X(22648), X(22649), X(73212), X(73213), X(73214), X(73215), X(73216), X(73217), X(73218), X(73219), X(73220), X(73221), X(73222), X(73223), X(73224)

vertices of the antimedial triangle GaGbGc

vertices of the 2nd Conway triangle = anticomplement of the excentral triangle

Ua*, Ub*, Uc* from Table 18, these points lie on K001

Geometric properties :

K1461 is the anticomplement of the Neuberg cubic K001.

It is a circular cubic with singular focus X(3448), the anticomplement of X(110).

K001 and K1461 share nine identified points : circular points at infinity, X(30), X(4), X(616), X(617), Ua*, Ub*, Uc*. These three latter points lie on the circle C(O,2R), on the rectangular hyperbola (H) passing through X(i) for i = 4, 76, 616, 617, etc, and on the parallels at H to the asymptotes of K005.