X2353

X2-ISOCONJUGATE OF X1760

X2353 = isogonal conjugate of X315
< 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) { 3, 66 }: Central Line L(3, 66) { 22, 76 }: Central Line L(22, 76) { 24, 98 }: Central Line L(24, 98) { 39, 184 }: Central Line L(39, 184) { 32, 1843 }: Central Line L(32, 1843) { 228, 2156 }: Central Line L(228, 2156) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_315 = ISOTOMIC CONJUGATE OF X(66) (0.3323, -0.0666) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_66 = ISOGONAL CONJUGATE OF X(22) (0.5912, 1.0593) X_22 = EXETER POINT (0.4143, -0.1221) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_98 = TARRY POINT (0.8891, -0.2281) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1843 = ZOSMA TRANSFORM OF X(75) (0.6278, 0.4214) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_2156 = -ISOCONJUGATE OF X(22) (0.5755, 0.9221) X_2353 = -ISOCONJUGATE OF X(1760) (0.5700, 0.8373) A B C X315 X3 X66 X22 X76 X24 X98 X39 X184 X32 X1843 X228 X2156 X2353 (a, b, c) = (5, 6, 7) | AB = 1

X2353 (X2-ISOCONJUGATE OF X1760) 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 X1760
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-2.318177438118\)
▸ Incident Central Lines7 lines

{3, 66}, {22, 76}, {24, 98}, {32, 1843}, {39, 184}, {228, 2156}, {237, 2351}

▸ Functional Relations6 relations