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X(3), X(4), X(6), X(381), X(576), X(9214) infinite points of the Thomson cubic. points of pK(X6, X381) on the circumcircle points of pK(X2, X576) on the Steiner ellipse four foci of the MacBeath inconic : X(3), X(4) and two imaginary X3-OAP points, see Table 53 |
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K762 is the isogonal transform of K759. K762 meets the circumcircle at the same six points as pK(X6, X381). Their remaining common points lie on the Euler line namely X(3), X(4), X(381). K762 meets the Steiner ellipse at the same six points as pK(X6, X576). Their remaining common points lie on the line X(69), X(576), X(1173), etc. |