X3833

X3058com(4th EULER TRIANGLE)

X3833 = complement of X10176
< 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) { 116, 119 }: Central Line L(116, 119) { 10, 354 }: Central Line L(10, 354) { 140, 517 }: Central Line L(140, 517) { 2, 758 }: Central Line L(2, 758) { 547, 2771 }: Central Line L(547, 2771) { 551, 2802 }: Central Line L(551, 2802) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_354 = WEILL POINT (0.5823, 0.2533) X_140 = MIDPOINT OF X(3) AND X(5) (0.5281, 0.1755) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_2 = CENTROID (0.5374, 0.2000) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_547 = MIDPOINT OF X(2) AND X(5) (0.5468, 0.2244) X_2771 = ISOGONAL CONJUGATE OF X(2687) (0.8887, -0.2701) X_551 = MIDPOINT OF X(1) AND X(2) (0.5544, 0.2166) X_2802 = ISOGONAL CONJUGATE OF X(2718) (1.0529, -0.0806) X_3833 = com(4th EULER TRIANGLE) (0.5514, 0.2183) A B C X116 X119 X10 X354 X140 X517 X2 X758 X547 X2771 X551 X2802 X3833 (a, b, c) = (5, 6, 7) | AB = 1

X3833 (X3058com(4th 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 \(f(a,b,c) = a(b^{3} + c^{3} - a^{2}b - a^{2}c - 4b^{2}c - 4bc^{2} - 4abc)\)
Search Value (6, 9, 13): \(2.201173355739\)
▸ Incident Central Lines14 lines

{2, 758}, {10, 354}, {116, 119}, {140, 517}, {519, 3742}, {547, 2771}, {551, 2802}, {942, 3634}, {993, 3306}, {1698, 3681}, {1739, 3720}, {2836, 3589}, {3244, 3698}, {3336, 3647}

▸ Functional Relations1 relation

  • X3833 = complement of X10176