X3940

X999com[INVERSE(n(TANGENTIAL 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) circumcircle: Circumcircle of △ABC { 5, 8 }: Central Line L(5, 8) { 3, 63 }: Central Line L(3, 63) { 1, 210 }: Central Line L(1, 210) { 30, 329 }: Central Line L(30, 329) { 144, 376 }: Central Line L(144, 376) { 200, 517 }: Central Line L(200, 517) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_8 = NAGEL POINT (0.4694, 0.1333) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1 = INCENTER (0.5714, 0.2333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_3940 = com[INVERSE(n(TANGENTIAL TRIANGLE))] (0.4180, 0.0648) A B C X3 X5 X8 X63 X1 X210 X30 X329 X144 X376 X200 X517 X3940 (a, b, c) = (5, 6, 7) | AB = 1

X3940 (X999com[INVERSE(n(TANGENTIAL 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 \(f(a,b,c) = a(2b + 2c - a)(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(5.524754340396\)
▸ Incident Central Lines24 lines

{1, 210}, {3, 63}, {5, 8}, {30, 329}, {69, 1565}, {144, 376}, {200, 517}, {219, 1807}, {381, 908}, {480, 3428}, {518, 997}, {519, 3452}, {758, 1376}, {936, 942}, {952, 3421}, {956, 3681}, {958, 3678}, {960, 3295}, {995, 3242}, {1064, 2340}, {1159, 3753}, {1265, 3695}, {2098, 3632}, {2099, 3679}