X3813

X2136com(4th EULER TRIANGLE)

< 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) { 8, 11 }: Central Line L(8, 11) { 12, 145 }: Central Line L(12, 145) { 1, 442 }: Central Line L(1, 442) { 10, 496 }: Central Line L(10, 496) { 5, 519 }: Central Line L(5, 519) { 3, 528 }: Central Line L(3, 528) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_1 = INCENTER (0.5714, 0.2333) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_496 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(495) (0.5843, 0.2201) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_528 = DIRECTION OF VECTOR AX + BX + CX, where X = X(11) (1.0237, -0.1286) X_3813 = com(4th EULER TRIANGLE) (0.4445, 0.1396) A B C X8 X11 X12 X145 X1 X442 X10 X496 X5 X519 X3 X528 X3813 (a, b, c) = (5, 6, 7) | AB = 1

X3813 (X2136com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(((b^{2}-4 b c+c^{2}) a-b^{2} c-b c^{2}+c^{3}+b^{3}) \cdot (-a+b+c) : :\)
Search Value (6, 9, 13): \(6.733062229337\)
▸ Incident Central Lines30 lines

{1, 442}, {2, 3303}, {3, 528}, {4, 529}, {5, 519}, {8, 11}, {10, 496}, {12, 145}, {21, 3058}, {56, 3434}, {149, 2975}, {377, 3304}, {452, 497}, {495, 3244}, {499, 3035}, {518, 946}, {522, 596}, {535, 3627}, {943, 1001}, {956, 1479}, {1213, 3169}, {1376, 3086}, {1484, 2802}, {1698, 2136}, {2476, 3241}, {3158, 3624}, {3189, 3616}, {3679, 3680}, {3702, 3703}, {3704, 3705}