X3875

X141com[INVERSE(n(3rd EULER TRIANGLE))]

X3875 = anticomplement of X2321
< A B C >: Reference Triangle △ABC < K_a K_b K_c >: Anticomplementary Triangle △K_a K_b K_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 2321 }: Central Line L(2, 2321) { 1, 75 }: Central Line L(1, 75) { 7, 145 }: Central Line L(7, 145) { 9, 192 }: Central Line L(9, 192) { 43, 350 }: Central Line L(43, 350) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) K_a = Anticomplementary Vertex K_a (1.6122, 0.5999) K_b = Anticomplementary Vertex K_b (-0.3878, 0.5999) K_c = Anticomplementary Vertex K_c (0.3878, -0.5999) X_2 = CENTROID (0.5374, 0.2000) X_2321 = -ISOCONJUGATE OF X(1408) (0.4497, 0.1200) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_7 = GERGONNE POINT (0.5903, 0.2769) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_350 = -HIRST INVERSE OF X(75) (-3.5227, -3.1370) X_3875 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.7128, 0.3599) A B C Ka Kb Kc X2 X2321 X1 X75 X7 X145 X9 X192 X43 X350 X3875 (a, b, c) = (5, 6, 7) | AB = 1

X3875 (X141com[INVERSE(n(3rd EULER 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 \(f(a,b,c) = a^{2} + ab + ac - 2bc\)
Search Value (6, 9, 13): \(-1.820332240954\)
▸ Incident Central Lines34 lines

{1, 75}, {2, 2321}, {6, 536}, {7, 145}, {8, 3672}, {9, 192}, {43, 350}, {57, 1999}, {63, 3187}, {69, 519}, {190, 1743}, {193, 527}, {269, 664}, {273, 1897}, {312, 2999}, {313, 3293}, {319, 3632}, {320, 3633}, {322, 3673}, {344, 3008}, {545, 3629}, {596, 969}, {614, 3263}, {712, 1572}, {726, 3751}, {870, 2663}, {894, 1278}, {1269, 3761}, {1423, 3169}, {1447, 3158}, {2136, 3212}, {2258, 3112}, {3216, 3264}, {3244, 3664}

▸ Functional Relations2 relations