X3722

X3120com(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) { 1, 88 }: Central Line L(1, 88) { 38, 55 }: Central Line L(38, 55) { 105, 612 }: Central Line L(105, 612) { 200, 748 }: Central Line L(200, 748) { 31, 1331 }: Central Line L(31, 1331) { 518, 896 }: Central Line L(518, 896) 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_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_612 = INTERSECTION OF LINES X(1)X(2) AND X(9)X(31) (0.5582, 0.2203) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_748 = INTERSECTION OF LINES X(2)X(31) AND X(9)X(38) (0.4360, 0.0802) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1331 = ORTHOCORRESPONDENT OF X(101) (-0.2308, 0.2512) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_3722 = com(INCENTRAL TRIANGLE) (0.4643, 0.2916) A B C X1 X88 X38 X55 X105 X612 X200 X748 X31 X1331 X518 X896 X3722 (a, b, c) = (5, 6, 7) | AB = 1

X3722 (X3120com(INCENTRAL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a(2a^{2} + b^{2} + c^{2} - 2ab - 2ac) : :\)
Search Value (6, 9, 13): \(1.935868137770\)
▸ Incident Central Lines18 lines

{1, 88}, {31, 1331}, {37, 2246}, {38, 55}, {42, 1386}, {105, 612}, {200, 748}, {518, 896}, {528, 3120}, {614, 3158}, {756, 1621}, {899, 1279}, {968, 1282}, {976, 1036}, {1283, 2292}, {1496, 1795}, {1647, 3035}, {2346, 2648}