X3717

X238com(EXTOUCH TRIANGLE)

X3717 = excentral-to-ABC barycentric image of X238
< 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) { 8, 9 }: Central Line L(8, 9) { 10, 75 }: Central Line L(10, 75) { 1, 344 }: Central Line L(1, 344) { 200, 345 }: Central Line L(200, 345) { 190, 516 }: Central Line L(190, 516) { 238, 519 }: Central Line L(238, 519) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1416 = -BETH CONJUGATE OF X(105) (1.0588, -0.1921) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1 = INCENTER (0.5714, 0.2333) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_3717 = com(EXTOUCH TRIANGLE) (-0.2517, -0.3555) A B C X1416 X8 X9 X10 X75 X1 X344 X200 X345 X190 X516 X238 X519 X3717 (a, b, c) = (5, 6, 7) | AB = 1

X3717 (X238com(EXTOUCH 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 \(f(a,b,c) = (b + c - a)(b^{2} + c^{2} - ab - ac)\)
Search Value (6, 9, 13): \(7.187618166340\)
▸ Incident Central Lines10 lines

{1, 344}, {8, 9}, {10, 75}, {100, 2751}, {190, 516}, {200, 345}, {238, 519}, {908, 3006}, {1026, 1818}, {1220, 2983}

▸ Functional Relations3 relations