X2351

X2-ISOCONJUGATE OF X1748

X2351 = isogonal conjugate of X317
< 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, 68 }: Central Line L(3, 68) { 25, 53 }: Central Line L(25, 53) { 32, 51 }: Central Line L(32, 51) { 22, 98 }: Central Line L(22, 98) { 24, 96 }: Central Line L(24, 96) { 184, 216 }: Central Line L(184, 216) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_317 = ISOTOMIC CONJUGATE OF X(68) (0.6796, 0.5070) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_68 = PRASOLOV POINT (-0.0535, -0.0055) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_53 = SYMMEDIAN POINT OF ORTHIC TRIANGLE (0.6164, 0.4390) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_51 = CENTROID OF ORTHIC TRIANGLE (0.6093, 0.3186) X_22 = EXETER POINT (0.4143, -0.1221) X_98 = TARRY POINT (0.8891, -0.2281) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_96 = ISOGONAL CONJUGATE OF X(52) (-0.0943, -0.0197) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_216 = -CEVA CONJUGATE OF X(51) (0.5201, 0.1353) X_2351 = -ISOCONJUGATE OF X(1748) (-0.0825, -0.0111) A B C X317 X3 X68 X25 X53 X32 X51 X22 X98 X24 X96 X184 X216 X2351 (a, b, c) = (5, 6, 7) | AB = 1

X2351 (X2-ISOCONJUGATE OF X1748) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a \tan 2A : b \tan 2B : c \tan 2C\)
Barycentrics: \(a^{2}\tan 2A : b^{2}\tan 2B : c^{2}\tan 2C )\)
Search Value (6, 9, 13): \(0.518895777119\)
▸ Incident Central Lines10 lines

{3, 68}, {22, 98}, {24, 96}, {25, 53}, {32, 51}, {91, 1324}, {125, 426}, {184, 216}, {228, 1820}, {237, 2353}

▸ Functional Relations8 relations