X3969

X2308com[INVERSE(n(INCENTRAL 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) { 100, 199 }: Central Line L(100, 199) { 8, 405 }: Central Line L(8, 405) { 226, 306 }: Central Line L(226, 306) { 2, 594 }: Central Line L(2, 594) { 63, 544 }: Central Line L(63, 544) { 345, 1150 }: Central Line L(345, 1150) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_8 = NAGEL POINT (0.4694, 0.1333) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_2 = CENTROID (0.5374, 0.2000) X_594 = ISOGONAL CONJUGATE OF X(593) (0.5025, 0.1672) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_544 = DIRECTION OF VECTOR AX + BX + CX, where X = X(101) (0.1236, 0.6161) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_1150 = INTERSECTION OF LINES X(2)X(6) AND X(3)X(8) (0.4725, 0.1302) X_3969 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.4350, 0.1040) A B C X100 X199 X8 X405 X226 X306 X2 X594 X63 X544 X345 X1150 X3969 (a, b, c) = (5, 6, 7) | AB = 1

X3969 (X2308com[INVERSE(n(INCENTRAL 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 \(f(a,b,c) = (b + c)(b^{2} + c^{2} - a^{2} + bc)\)
Search Value (6, 9, 13): \(5.151676290647\)
▸ Incident Central Lines16 lines

{2, 594}, {8, 405}, {10, 1962}, {42, 3773}, {63, 544}, {81, 2295}, {100, 199}, {190, 2895}, {226, 306}, {319, 3219}, {345, 1150}, {502, 1089}, {961, 3476}, {1500, 3661}, {3006, 3706}, {3681, 3690}