X3699

X1054com(EXTOUCH TRIANGLE)

X3699 = trilinear pole of line X8X9
< 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, 11 }: Central Line L(8, 11) { 100, 190 }: Central Line L(100, 190) { 78, 341 }: Central Line L(78, 341) { 200, 312 }: Central Line L(200, 312) { 210, 333 }: Central Line L(210, 333) { 1, 1120 }: Central Line L(1, 1120) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3676 = com(INTOUCH TRIANGLE) (-4.3265, 3.5993) X_8 = NAGEL POINT (0.4694, 0.1333) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_1 = INCENTER (0.5714, 0.2333) X_1120 = -BLAIKIE TRANSFORM OF X(1) (1.2041, 0.2000) X_3699 = com(EXTOUCH TRIANGLE) (-0.0612, 0.2666) A B C X3676 X8 X11 X100 X190 X78 X341 X200 X312 X210 X333 X1 X1120 X3699 (a, b, c) = (5, 6, 7) | AB = 1

X3699 (X1054com(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 \(f(a,b,c) = (b + c - a)/(b - c)\)
Search Value (6, 9, 13): \(9.744131407458\)
▸ Incident Central Lines15 lines

{1, 1120}, {2, 1280}, {8, 11}, {78, 341}, {100, 190}, {200, 312}, {210, 333}, {537, 1054}, {643, 645}, {644, 1639}, {658, 883}, {664, 668}, {765, 1331}, {1897, 4033}, {2899, 3189}

▸ Functional Relations3 relations