X2950

EXCENTRAL-ISOGONAL CONJUGATE OF X36

X2950 is the excentral-isogonal conjugate of X36.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 1, 104 }: Central Line L(1, 104) { 9, 119 }: Central Line L(9, 119) { 84, 952 }: Central Line L(84, 952) { 40, 1145 }: Central Line L(40, 1145) { 100, 1490 }: Central Line L(100, 1490) { 57, 1537 }: Central Line L(57, 1537) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_1 = INCENTER (0.5714, 0.2333) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_9 = MITTENPUNKT (0.5110, 0.1615) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_952 = INTERSECTION OF X(1)X(5) AND X(3)X(8) (0.1267, 0.6191) X_40 = BEVAN POINT (0.4286, -0.0292) X_1145 = 3rd EHRMANN POINT (0.3061, 0.2999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1490 = ∩X(3)X(9) (0.3929, -0.4775) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1537 = ORTHOJOIN OF X(44) (0.4490, 0.5624) X_2950 = EXCENTRAL-ISOGONAL CONJUGATE OF X(36) (-0.1071, 1.4106) A B C X36 X1 X104 X9 X119 X84 X952 X40 X1145 X100 X1490 X57 X1537 X2950 (a, b, c) = (5, 6, 7) | AB = 1

X2950 (EXCENTRAL-ISOGONAL CONJUGATE OF X36) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-61.131428740873\)
▸ Incident Central Lines9 lines

{1, 104}, {9, 119}, {40, 1145}, {57, 1537}, {80, 1709}, {84, 952}, {100, 1490}, {484, 1512}, {2077, 2932}

▸ Functional Relations2 relations