X3963

X2309com[INVERSE(n(INCENTRAL 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) { 75, 141 }: Central Line L(75, 141) { 76, 192 }: Central Line L(76, 192) { 37, 313 }: Central Line L(37, 313) { 226, 306 }: Central Line L(226, 306) { 2, 1240 }: Central Line L(2, 1240) { 732, 894 }: Central Line L(732, 894) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_2 = CENTROID (0.5374, 0.2000) X_1240 = ISOTOMIC CONJUGATE OF X(1193) (0.4643, 0.1467) X_732 = EVEN (- 2, 2) INFINITY POINT (0.9745, 0.5915) X_894 = ISOGONAL CONJUGATE OF X(893) (0.5501, 0.2184) X_3963 = com[INVERSE(n(INCENTRAL TRIANGLE))] (0.4951, 0.1691) A B C X75 X141 X76 X192 X37 X313 X226 X306 X2 X1240 X732 X894 X3963 (a, b, c) = (5, 6, 7) | AB = 1

X3963 (X2309com[INVERSE(n(INCENTRAL 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 \(f(a,b,c) = bc(b + c)(a^{2} + bc)\)
Search Value (6, 9, 13): \(3.834771235031\)
▸ Incident Central Lines17 lines

{2, 1240}, {9, 3765}, {10, 3728}, {37, 313}, {75, 141}, {76, 192}, {190, 3770}, {226, 306}, {495, 3695}, {536, 1269}, {668, 1654}, {730, 2309}, {732, 894}, {1018, 3729}, {1089, 3178}, {1920, 1926}, {3264, 3739}