X3994

X899com[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) { 38, 312 }: Central Line L(38, 312) { 244, 726 }: Central Line L(244, 726) { 190, 896 }: Central Line L(190, 896) { 523, 661 }: Central Line L(523, 661) { 536, 899 }: Central Line L(536, 899) 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_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_536 = DIRECTION OF VECTOR AX + BX + CX, where X = X(37) (0.0840, -0.1727) X_899 = INTERSECTION OF LINES X(1)X(2) AND X(6)X(750) (2.3571, 1.9829) X_3994 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-3.8469, -3.1160) A B C X10 X321 X38 X312 X244 X726 X190 X896 X523 X661 X536 X899 X3994 (a, b, c) = (5, 6, 7) | AB = 1

X3994 (X899com[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 \(f(a,b,c) = (b + c)(ab + ac - 2bc)\)
Search Value (6, 9, 13): \(27.065612708003\)
▸ Incident Central Lines14 lines

{10, 321}, {37, 2229}, {38, 312}, {42, 3175}, {190, 896}, {244, 726}, {523, 661}, {536, 899}, {750, 3729}, {1215, 1962}, {1266, 3263}, {2325, 3011}, {3632, 3681}, {3685, 3722}