X3930

X672com[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) { 37, 42 }: Central Line L(37, 42) { 226, 306 }: Central Line L(226, 306) { 9, 1174 }: Central Line L(9, 1174) { 523, 661 }: Central Line L(523, 661) { 518, 672 }: Central Line L(518, 672) { 1, 1390 }: Central Line L(1, 1390) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) 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_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1 = INCENTER (0.5714, 0.2333) X_1390 = ISOGONAL CONJUGATE OF X(1386) (0.5559, 0.2165) X_3930 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-2.8787, -3.4861) A B C X37 X42 X226 X306 X9 X1174 X523 X661 X518 X672 X1 X1390 X3930 (a, b, c) = (5, 6, 7) | AB = 1

X3930 (X672com[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 \(f(a,b,c) = a(b + c)(b^{2} + c^{2} - ab - ac)\)
Search Value (6, 9, 13): \(19.881091413497\)
▸ Incident Central Lines28 lines

{1, 1390}, {9, 1174}, {37, 42}, {38, 2276}, {72, 1334}, {100, 3509}, {101, 2752}, {145, 3061}, {226, 306}, {244, 1575}, {518, 672}, {519, 2170}, {523, 661}, {594, 2294}, {678, 2243}, {758, 1018}, {899, 3290}, {910, 3689}, {1400, 3694}, {1475, 3555}, {1500, 2292}, {1914, 3722}, {1926, 1978}, {2246, 3684}, {2295, 2650}, {2340, 2356}, {2345, 3475}, {3294, 3678}