X3937

X11com[INVERSE(n(INTANGENTS TRIANGLE))]

X3937 = X92-isoconjugate of X1252
< 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) { 51, 57 }: Central Line L(51, 57) { 123, 125 }: Central Line L(123, 125) { 63, 295 }: Central Line L(63, 295) { 184, 222 }: Central Line L(184, 222) { 11, 513 }: Central Line L(11, 513) { 3, 1331 }: Central Line L(3, 1331) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1331 = ORTHOCORRESPONDENT OF X(101) (-0.2308, 0.2512) X_3937 = com[INVERSE(n(INTANGENTS TRIANGLE))] (0.7714, 0.0467) A B C X51 X57 X123 X125 X63 X295 X184 X222 X11 X513 X3 X1331 X3937 (a, b, c) = (5, 6, 7) | AB = 1

X3937 (X11com[INVERSE(n(INTANGENTS 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 \(f(a,b,c) = a^{2}(b - c)^{2}(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(1.812919602393\)
▸ Incident Central Lines26 lines

{1, 2841}, {3, 1331}, {11, 513}, {25, 1407}, {31, 1401}, {51, 57}, {63, 295}, {100, 2810}, {104, 2818}, {123, 125}, {184, 222}, {214, 2842}, {244, 1357}, {373, 3306}, {511, 3218}, {512, 2611}, {603, 1425}, {1015, 1977}, {1086, 2969}, {1260, 1810}, {1319, 2390}, {1364, 3270}, {1398, 1413}, {1463, 3011}, {1495, 3220}, {1768, 2807}

▸ Functional Relations2 relations