X3975

X2664com(EXTOUCH 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) { 8, 210 }: Central Line L(8, 210) { 2, 330 }: Central Line L(2, 330) { 239, 350 }: Central Line L(239, 350) { 75, 966 }: Central Line L(75, 966) { 190, 2183 }: Central Line L(190, 2183) { 645, 2323 }: Central Line L(645, 2323) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_2 = CENTROID (0.5374, 0.2000) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_350 = -HIRST INVERSE OF X(75) (-3.5227, -3.1370) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_966 = INTERSECTION OF LINES X(2)X(6) AND X(4)X(9) (0.5191, 0.1803) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_2183 = -ISOCONJUGATE OF X(104) (1.5000, 2.4495) X_645 = BARYCENTRIC MULTIPLIER FOR KIEPERT PARABOLA (-0.0375, 0.2992) X_2323 = -ISOCONJUGATE OF X(1411) (-2.1000, -2.9394) X_3975 = com(EXTOUCH TRIANGLE) (-0.4984, -0.4245) A B C X8 X210 X2 X330 X239 X350 X75 X966 X190 X2183 X645 X2323 X3975 (a, b, c) = (5, 6, 7) | AB = 1

X3975 (X2664com(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 \(f(a,b,c) = bc(b + c - a)(a^{2} - bc)\)
Search Value (6, 9, 13): \(8.738743835320\)
▸ Incident Central Lines15 lines

{2, 330}, {8, 210}, {9, 3596}, {75, 966}, {190, 2183}, {239, 350}, {314, 3686}, {333, 3691}, {645, 2323}, {646, 2325}, {730, 2664}, {1655, 3666}, {1999, 3780}, {2340, 3699}, {3739, 3770}