X3942

X2310com[INVERSE(n(INTANGENTS 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) { 48, 77 }: Central Line L(48, 77) { 19, 269 }: Central Line L(19, 269) { 69, 337 }: Central Line L(69, 337) { 244, 659 }: Central Line L(244, 659) { 57, 909 }: Central Line L(57, 909) { 63, 1332 }: Central Line L(63, 1332) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_19 = CLAWSON POINT (0.6246, 0.4244) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_337 = ISOTOMIC CONJUGATE OF X(242) (1.0936, 0.0108) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_909 = POINT ADHAFERA (0.9286, -0.3499) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1332 = ORTHOCORRESPONDENT OF X(100) (-0.2317, 0.1866) X_3942 = com[INVERSE(n(INTANGENTS TRIANGLE))] (0.7434, 0.0389) A B C X48 X77 X19 X269 X69 X337 X244 X659 X57 X909 X63 X1332 X3942 (a, b, c) = (5, 6, 7) | AB = 1

X3942 (X2310com[INVERSE(n(INTANGENTS 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 \(f(a,b,c) = a(b - c)^{2}(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(2.343706719580\)
▸ Incident Central Lines23 lines

{1, 1633}, {7, 1953}, {19, 269}, {38, 2877}, {48, 77}, {56, 2097}, {57, 909}, {63, 1332}, {69, 337}, {241, 2183}, {244, 659}, {320, 1959}, {513, 2310}, {651, 2265}, {1086, 1358}, {1108, 1122}, {1364, 3270}, {1418, 2262}, {1419, 2261}, {1422, 1435}, {1443, 2173}, {2294, 3664}, {3271, 3675}