X3881

X3628com[INVERSE(n(3rd 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) { 1, 21 }: Central Line L(1, 21) { 79, 149 }: Central Line L(79, 149) { 10, 354 }: Central Line L(10, 354) { 72, 551 }: Central Line L(72, 551) { 517, 548 }: Central Line L(517, 548) { 596, 740 }: Central Line L(596, 740) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_149 = REFLECTION OF X(20) IN X(104) (1.3265, -0.3333) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_354 = WEILL POINT (0.5823, 0.2533) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_551 = MIDPOINT OF X(1) AND X(2) (0.5544, 0.2166) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_548 = MIDPOINT OF X(5) AND X(20) (0.4719, 0.0286) X_596 = ISOGONAL CONJUGATE OF X(595) (0.4466, 0.1390) X_740 = EVEN (- 1, 1) INFINITY POINT (0.9745, 0.5915) X_3881 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.6133, 0.2883) A B C X1 X21 X79 X149 X10 X354 X72 X551 X517 X548 X596 X740 X3881 (a, b, c) = (5, 6, 7) | AB = 1

X3881 (X3628com[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 \(f(a,b,c) = a(b^{3} + c^{3} - a^{2}b - a^{2}c - 4abc)\)
Search Value (6, 9, 13): \(0.405722199207\)
▸ Incident Central Lines21 lines

{1, 21}, {10, 354}, {65, 1317}, {72, 551}, {79, 149}, {100, 3337}, {244, 3293}, {517, 548}, {518, 1125}, {519, 942}, {535, 950}, {537, 3159}, {596, 740}, {946, 2801}, {960, 3636}, {2550, 3296}, {3218, 3746}, {3243, 3333}, {3624, 3681}, {3625, 3753}, {3634, 3742}