X3837

X2254com(3rd EULER TRIANGLE)

X3837 = isotomic conjugate of X8709
< 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) { 11, 244 }: Central Line L(11, 244) { 2, 659 }: Central Line L(2, 659) { 325, 523 }: Central Line L(325, 523) { 10, 891 }: Central Line L(10, 891) { 334, 876 }: Central Line L(334, 876) { 814, 905 }: Central Line L(814, 905) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_2 = CENTROID (0.5374, 0.2000) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_891 = ISOTOMIC CONJUGATE OF X(889) (0.8689, 0.6842) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_876 = ISOTOMIC CONJUGATE OF X(874) (0.9873, -0.0185) X_814 = ODD (- 1, 2) INFINITY POINT (1.1242, 0.2110) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_3837 = com(3rd EULER TRIANGLE) (-0.1582, -0.8082) A B C X11 X244 X2 X659 X325 X523 X10 X891 X334 X876 X814 X905 X3837 (a, b, c) = (5, 6, 7) | AB = 1

X3837 (X2254com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b - c)(ab^{2} + ac^{2} - b^{2}c - bc^{2})\)
Search Value (6, 9, 13): \(7.203933885543\)
▸ Incident Central Lines13 lines

{2, 659}, {5, 2826}, {10, 891}, {11, 244}, {120, 2977}, {325, 523}, {334, 876}, {513, 3716}, {661, 1639}, {814, 905}, {946, 2821}, {1125, 1960}, {1577, 2530}

▸ Functional Relations3 relations