X2235

X2-ISOCONJUGATE OF X731

< 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) { 6, 75 }: Central Line L(6, 75) { 44, 513 }: Central Line L(44, 513) { 9, 1740 }: Central Line L(9, 1740) { 312, 1613 }: Central Line L(312, 1613) { 37, 1964 }: Central Line L(37, 1964) { 1197, 1215 }: Central Line L(1197, 1215) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1740 = MIMOSA TRANSFORM OF X(184) (0.7017, 0.3500) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_1613 = TCC-PERSPECTOR OF X(31) (0.7015, 0.3763) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1964 = BICENTRIC SUM OF PU(36) (0.6058, 0.2641) X_1197 = 3rd SARAGOSSA POINT OF X(31) (0.6088, 0.2744) X_1215 = ISOGONAL CONJUGATE OF X(1178) (0.5340, 0.2011) X_2235 = -ISOCONJUGATE OF X(731) (2.3551, 1.9840) A B C X6 X75 X44 X513 X9 X1740 X312 X1613 X37 X1964 X1197 X1215 X2235 (a, b, c) = (5, 6, 7) | AB = 1

X2235 (X2-ISOCONJUGATE OF X731) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X731
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-7.335284519600\)
▸ Incident Central Lines6 lines

{6, 75}, {9, 1740}, {37, 1964}, {44, 513}, {312, 1613}, {1197, 1215}

▸ Functional Relations1 relation