X3957

X3748com[INVERSE(n(INTOUCH 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) incircle: Incircle of △ABC { 1, 2 }: Nagel Line { 149, 226 }: Central Line L(149, 226) { 100, 354 }: Central Line L(100, 354) { 81, 643 }: Central Line L(81, 643) { 518, 1621 }: Central Line L(518, 1621) { 982, 2177 }: Central Line L(982, 2177) 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_2 = CENTROID (0.5374, 0.2000) X_149 = REFLECTION OF X(20) IN X(104) (1.3265, -0.3333) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_354 = WEILL POINT (0.5823, 0.2533) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_643 = TRILINEAR MULTIPLIER FOR KIEPERT PARABOLA (0.0142, 0.3704) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_1621 = TCC-PERSPECTOR OF X(81) (0.5431, 0.1961) X_982 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(38) (0.5508, 0.1955) X_2177 = -ISOCONJUGATE OF X(89) (0.5755, 0.2311) X_3957 = com[INVERSE(n(INTOUCH TRIANGLE))] (0.5887, 0.2502) A B C X1 X2 X149 X226 X100 X354 X81 X643 X518 X1621 X982 X2177 X3957 (a, b, c) = (5, 6, 7) | AB = 1

X3957 (X3748com[INVERSE(n(INTOUCH 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 \(f(a,b,c) = a(a^{2} + b^{2} + c^{2} - 2ab - 2ac - bc)\)
Search Value (6, 9, 13): \(1.173947946516\)
▸ Incident Central Lines18 lines

{1, 2}, {21, 3555}, {38, 3750}, {55, 3218}, {63, 3243}, {81, 643}, {100, 354}, {149, 226}, {171, 3722}, {518, 1621}, {744, 2667}, {982, 2177}, {1001, 3681}, {1100, 3693}, {3158, 3306}, {3315, 3752}, {3434, 3475}, {3689, 3742}