X3886

X141com[INVERSE(n(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, 9 }: Central Line L(8, 9) { 1, 75 }: Central Line L(1, 75) { 10, 344 }: Central Line L(10, 344) { 200, 312 }: Central Line L(200, 312) { 69, 516 }: Central Line L(69, 516) { 145, 894 }: Central Line L(145, 894) 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_9 = MITTENPUNKT (0.5110, 0.1615) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_3886 = com[INVERSE(n(4th EULER TRIANGLE))] (0.4301, 0.1066) A B C X8 X9 X1 X75 X10 X344 X200 X312 X69 X516 X145 X894 X3886 (a, b, c) = (5, 6, 7) | AB = 1

X3886 (X141com[INVERSE(n(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 \(f(a,b,c) = (b + c - a)(a^{2} - ab - ac - 2bc)\)
Search Value (6, 9, 13): \(5.200949259868\)
▸ Incident Central Lines18 lines

{1, 75}, {2, 3755}, {8, 9}, {10, 344}, {55, 3706}, {69, 516}, {78, 1229}, {145, 894}, {200, 312}, {306, 3434}, {497, 3687}, {518, 3729}, {519, 1992}, {528, 3416}, {536, 3242}, {1001, 3696}, {1757, 3632}, {3210, 3677}