X3938

X3744com[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, 55 }: Central Line L(38, 55) { 31, 518 }: Central Line L(31, 518) { 210, 748 }: Central Line L(210, 748) { 63, 902 }: Central Line L(63, 902) { 100, 982 }: Central Line L(100, 982) 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_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_748 = INTERSECTION OF LINES X(2)X(31) AND X(9)X(38) (0.4360, 0.0802) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_982 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(38) (0.5508, 0.1955) X_3938 = com[INVERSE(n(INTOUCH TRIANGLE))] (0.5401, 0.2026) A B C X1 X2 X38 X55 X31 X518 X210 X748 X63 X902 X100 X982 X3938 (a, b, c) = (5, 6, 7) | AB = 1

X3938 (X3744com[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 \(f(a,b,c) = a(a^{2} + b^{2} + c^{2} - ab - ac)\)
Search Value (6, 9, 13): \(2.319735930229\)
▸ Incident Central Lines24 lines

{1, 2}, {31, 518}, {33, 1851}, {37, 2280}, {38, 55}, {63, 902}, {100, 982}, {210, 748}, {238, 3681}, {244, 1376}, {354, 750}, {528, 3782}, {756, 1001}, {896, 3052}, {984, 1621}, {1468, 3555}, {1807, 3478}, {2177, 3666}, {2292, 3295}, {2308, 3751}, {3120, 3434}, {3158, 3677}, {3218, 3550}, {3689, 3752}