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X(2), X(4), X(6), X(39), X(256), X(291), X(511), X(694), X(1432), X(1916), X(3978), X(4876), X(6660), X(7779) Infinite points of the Steiner ellipses |
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K354 = pK(X694, X1916) is the isogonal transform of K252. See also CL041 and K353. K354 is a member of the class CL043 : it meets the circumcircle at A, B, C and three other points where the tangents are concurrent. Its pole X(694) and pivot X(1916) are respectively the isogonal and isotomic conjugates of X(385), the G-Hirst inverse of K. It has the same infinite points as K128 = pK(X6, X385) and K355 = pK(X2, X511) namely X(511) and the infinite points of the Steiner ellipses. Its isotomic transform is K356 and its G-Hirst inverse is K322. It is a cubic anharmonically equivalent to K020 as in Table 66. The third point on the Euler line is X(6660) and the third point on the line GK is X(7779). The tangents at A, B, C are the symmedians. |
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