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X(2), X(3), X(67), X(187), X(3098), X(11057); X(11058), X(11645), X(11738), X(14388), X(48657) points Ua, Ub, Uc mentioned in the Neuberg cubic page. See also table 16 and table 18. |
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K330 is an example of circular cubic passing through the points Ua, Ub, Uc hence it is very comparable to the Neuberg cubic. Its singular focus F is the intersection X(11636) of the lines X(32)-X(111) and X(98)-X(381), a point on the circumcircle. Its antipode F' lies on the cubic. It is the isogonal conjugate X(14388) of X(11645), the real infinite point of K330. X(3098) and X(11057) are the third points on the lines O-X(187) and G-X(187) respectively. See a generalization at CL052. The isogonal transform of K330 is K914. |
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