X3879

X3739com[INVERSE(n(3rd EULER TRIANGLE))]

X3879 = anticomplement of X3686
< A B C >: Reference Triangle △ABC < K_a K_b K_c >: Anticomplementary Triangle △K_a K_b K_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 3686 }: Central Line L(2, 3686) { 1, 69 }: Central Line L(1, 69) { 10, 86 }: Central Line L(10, 86) { 7, 145 }: Central Line L(7, 145) { 9, 193 }: Central Line L(9, 193) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) K_a = Anticomplementary Vertex K_a (1.6122, 0.5999) K_b = Anticomplementary Vertex K_b (-0.3878, 0.5999) K_c = Anticomplementary Vertex K_c (0.3878, -0.5999) X_2 = CENTROID (0.5374, 0.2000) X_3686 = com(EXTOUCH TRIANGLE) (0.4795, 0.1402) X_1 = INCENTER (0.5714, 0.2333) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_7 = GERGONNE POINT (0.5903, 0.2769) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_3879 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.6533, 0.3196) A B C Ka Kb Kc X2 X3686 X1 X69 X10 X86 X7 X145 X9 X193 X3879 (a, b, c) = (5, 6, 7) | AB = 1

X3879 (X3739com[INVERSE(n(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 \(f(a,b,c) = 2a^{2} - b^{2} - c^{2} + ab + ac\)
Search Value (6, 9, 13): \(-0.728620267798\)
▸ Incident Central Lines32 lines

{1, 69}, {2, 1449}, {6, 3912}, {7, 145}, {9, 193}, {10, 86}, {35, 1444}, {37, 524}, {44, 3629}, {57, 3169}, {75, 519}, {81, 306}, {100, 1014}, {141, 1100}, {142, 239}, {171, 332}, {192, 527}, {226, 1943}, {307, 1442}, {314, 1909}, {317, 1785}, {320, 3244}, {344, 1743}, {518, 3688}, {553, 3210}, {664, 3668}, {894, 2321}, {940, 3687}, {1264, 3717}, {3008, 3759}, {3241, 3672}, {3630, 3723}

▸ Functional Relations1 relation