X1611

TCC-PERSPECTOR OF X25

X1611 is the tcc-perspector of X25.
< 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) { 2, 6 }: Centroid–Symmedian Line { 3, 1196 }: Central Line L(3, 1196) { 232, 1033 }: Central Line L(232, 1033) { 1498, 1513 }: Central Line L(1498, 1513) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1196 = 3rd SARAGOSSA POINT OF X(25) (0.6432, 0.2801) X_232 = -CEVA CONJUGATE OF X(132) (0.6919, 0.7779) X_1033 = -CEVA CONJUGATE OF X(25) (0.5778, 0.9664) X_1498 = REFLECTION OF X(64) IN X(3) (0.4421, -1.3902) X_1513 = ORTHOJOIN OF X(2) (1.0602, 1.5678) X_1611 = TCC-PERSPECTOR OF X(25) (0.8430, 0.5284) A B C X2 X6 X3 X1196 X232 X1033 X1498 X1513 X1611 (a, b, c) = (5, 6, 7) | AB = 1

X1611 (TCC-PERSPECTOR OF X25) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a[(a^{2} + b^{2} + c^{2})^{2} - 8b^{2}c^{2}]\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(-0.680470193638\)
▸ Incident Central Lines4 lines

{2, 6}, {3, 1196}, {232, 1033}, {1498, 1513}

▸ Functional Relations3 relations