X3264

ISOTOMIC CONJUGATE OF X106

X3264 is the isotomic conjugate of X106.
< 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) { 10, 75 }: Central Line L(10, 75) { 325, 523 }: Central Line L(325, 523) { 320, 668 }: Central Line L(320, 668) { 350, 899 }: Central Line L(350, 899) { 86, 1222 }: Central Line L(86, 1222) { 190, 2183 }: Central Line L(190, 2183) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_2 = CENTROID (0.5374, 0.2000) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_668 = TRILINEAR POLE OF LINE X(2)X(37) (0.0159, 0.3302) X_350 = -HIRST INVERSE OF X(75) (-3.5227, -3.1370) X_899 = INTERSECTION OF LINES X(1)X(2) AND X(6)X(750) (2.3571, 1.9829) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_1222 = ISOGONAL CONJUGATE OF X(1201) (0.5108, 0.1870) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_2183 = -ISOCONJUGATE OF X(104) (1.5000, 2.4495) X_3264 = ISOTOMIC CONJUGATE OF X(106) (-0.6378, -0.6249) A B C X121 X2 X10 X75 X325 X523 X320 X668 X350 X899 X86 X1222 X190 X2183 X3264 (a, b, c) = (5, 6, 7) | AB = 1

X3264 (ISOTOMIC CONJUGATE OF X106) 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 \(f(a,b,c) = (2a - b - c)/a^{3}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.736901314824\)
▸ Incident Central Lines10 lines

{10, 75}, {86, 1222}, {99, 2758}, {100, 2863}, {190, 2183}, {320, 668}, {325, 523}, {350, 899}, {730, 2234}, {1240, 1268}

▸ Functional Relations7 relations