X3961

X171com[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 { 38, 100 }: Central Line L(38, 100) { 33, 242 }: Central Line L(33, 242) { 210, 238 }: Central Line L(210, 238) { 171, 518 }: Central Line L(171, 518) { 55, 846 }: Central Line L(55, 846) 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_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_3961 = com[INVERSE(n(INTOUCH TRIANGLE))] (0.5388, 0.2013) A B C X1 X2 X38 X100 X33 X242 X210 X238 X171 X518 X55 X846 X3961 (a, b, c) = (5, 6, 7) | AB = 1

X3961 (X171com[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 \(f(a,b,c) = a(a^{2} + b^{2} + c^{2} - ab - ac + bc)\)
Search Value (6, 9, 13): \(2.443990276250\)
▸ Incident Central Lines18 lines

{1, 2}, {9, 983}, {31, 1757}, {33, 242}, {37, 3684}, {38, 100}, {55, 846}, {63, 3099}, {171, 518}, {210, 238}, {595, 3678}, {668, 1965}, {756, 1621}, {902, 3219}, {982, 1054}, {1279, 3740}, {1763, 3465}, {3666, 3689}