X2335

X2-ISOCONJUGATE OF X1451

X2335 = isogonal conjugate of X37543
< 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) { 4, 37 }: Central Line L(4, 37) { 1, 71 }: Central Line L(1, 71) { 21, 219 }: Central Line L(21, 219) { 7, 464 }: Central Line L(7, 464) { 314, 345 }: Central Line L(314, 345) { 6, 943 }: Central Line L(6, 943) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1 = INCENTER (0.5714, 0.2333) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_7 = GERGONNE POINT (0.5903, 0.2769) X_464 = EULER LINE INTERCEPT OF LINE X(63)X(69) (0.4986, 0.0983) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_943 = ISOGONAL CONJUGATE OF X(942) (0.5528, 0.2043) X_2335 = -ISOCONJUGATE OF X(1451) (0.5535, 0.2052) A B C X4 X37 X1 X71 X21 X219 X7 X464 X314 X345 X6 X943 X2335 (a, b, c) = (5, 6, 7) | AB = 1

X2335 (X2-ISOCONJUGATE OF X1451) 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 X1451
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(2.432023750356\)
▸ Incident Central Lines14 lines

{1, 71}, {4, 37}, {6, 943}, {7, 464}, {9, 2318}, {21, 219}, {55, 1172}, {84, 991}, {104, 2256}, {278, 2197}, {281, 1896}, {314, 345}, {1000, 1108}, {1011, 2298}

▸ Functional Relations1 relation

  • X2335 = isogonal conjugate of X37543