X3360

SS(a → bc) OF X20

X3360 = X1613-Ceva conjugate of X6
< 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, 194 }: Central Line L(6, 194) { 1, 2162 }: Central Line L(1, 2162) { 159, 2076 }: Central Line L(159, 2076) { 1740, 2176 }: Central Line L(1740, 2176) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1613 = TCC-PERSPECTOR OF X(31) (0.7015, 0.3763) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_1 = INCENTER (0.5714, 0.2333) X_2162 = -ISOCONJUGATE OF X(43) (0.5193, 0.2016) X_159 = -OF-TANGENTIAL-TRIANGLE (0.4211, -0.7266) X_2076 = INVERSE-IN-CIRCUMCIRCLE OF X(39) (1.3982, 1.5854) X_1740 = MIMOSA TRANSFORM OF X(184) (0.7017, 0.3500) X_2176 = -ISOCONJUGATE OF X(87) (0.6513, 0.3282) X_3360 = SS(a → bc) OF X(20) (0.9152, 0.4425) A B C X1613 X6 X194 X1 X2162 X159 X2076 X1740 X2176 X3360 (a, b, c) = (5, 6, 7) | AB = 1

X3360 (SS(a → bc) OF X20) 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 \(f(a,b,c) = a[3b^{4}c^{4} - c^{4}a^{4} - a^{4}b^{4} +2a^{2}(a^{2}b^{2}c^{2} - b^{2}c^{4} - b^{4}c^{2})]\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-2.826342404256\)
▸ Incident Central Lines4 lines

{1, 2162}, {6, 194}, {159, 2076}, {1740, 2176}

▸ Functional Relations2 relations