X3992

X1149com[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) { 10, 321 }: Central Line L(10, 321) { 1, 341 }: Central Line L(1, 341) { 190, 484 }: Central Line L(190, 484) { 523, 1577 }: Central Line L(523, 1577) { 726, 1739 }: Central Line L(726, 1739) { 100, 2758 }: Central Line L(100, 2758) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_1 = INCENTER (0.5714, 0.2333) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_1577 = ISOGONAL CONJUGATE OF X(163) (-17.7211, 5.4989) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_1739 = MIMOSA TRANSFORM OF X(106) (1.3810, 0.6999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_2758 = SR(X(106), X(110)) (0.0594, 0.3595) X_3992 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-0.9354, -0.9165) A B C X10 X321 X1 X341 X190 X484 X523 X1577 X726 X1739 X100 X2758 X3992 (a, b, c) = (5, 6, 7) | AB = 1

X3992 (X1149com[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 \(f(a,b,c) = bc(b + c)(b + c - 2a)\)
Search Value (6, 9, 13): \(11.087803525337\)
▸ Incident Central Lines14 lines

{1, 341}, {10, 321}, {100, 2758}, {190, 484}, {312, 3679}, {523, 1577}, {726, 1739}, {1111, 3263}, {1479, 2899}, {1737, 3717}, {2901, 3214}, {3293, 3725}, {3626, 3702}, {3697, 3714}