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with u:v:w = cosA/2:cosB/2:cosC/2 |
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X(7), X(174), X(177), X(234), X(2089), X(2091), X(7057) vertices of the intouch triangle |
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K747 is the locus of P whose cevian triangle is perspective with the Tangential mid-arc triangle. See TCCT 6.15. K747 is the pivotal cubic pK(X14596, X7). K747 is also a pK with respect to the intouch triangle A'B'C' with pivot X(177), isopivot X(234). The barycentric product of K747 by X(188) is K748, a similar cubic related with anticevian triangles. All the cubics in {K201, K365, K747, K748, K761, K1077, K1078, K1079, K1082} are anharmonically equivalent. |
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