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K808

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X(4), X(13), X(14), X(30), X(376)

X2-OAP points, see Q003 and Table 53

P, Q described below

K808 is the orthopivotal cubic O(X376).

Its singular focus is X(5642), the center of the Jerabek hyperbola of the Thomson triangle. See K002.

It meets the circumcircle again at P, the reflection of X(1302) about X(3).

The third point Q on the Fermat axis also lies on the line X(376) P.

The real asymptote is parallel at X(125) to the Euler line.

K808 contains the four X2-OAP points P1, P2, P3, P4 described in the page Q003, also lying on the cubics K243, K315, pK(X4 x X376, X4) and on the quintic Q095.