X2357

X2-ISOCONJUGATE OF X1817

X2357 = X84-Ceva conjugate of X1903
< 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) { 8, 20 }: Central Line L(8, 20) { 48, 55 }: Central Line L(48, 55) { 71, 210 }: Central Line L(71, 210) { 31, 607 }: Central Line L(31, 607) { 42, 1409 }: Central Line L(42, 1409) { 228, 1334 }: Central Line L(228, 1334) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_1334 = POINT ALYA (0.5324, 0.1760) X_2357 = -ISOCONJUGATE OF X(1817) (0.6049, 0.6728) A B C X8 X20 X48 X55 X71 X210 X31 X607 X42 X1409 X228 X1334 X2357 (a, b, c) = (5, 6, 7) | AB = 1

X2357 (X2-ISOCONJUGATE OF X1817) 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 X1817
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-7.742930799329\)
▸ Incident Central Lines11 lines

{8, 20}, {19, 1857}, {25, 2155}, {31, 607}, {42, 1409}, {48, 55}, {71, 210}, {228, 1334}, {1002, 1422}, {1400, 1824}, {1413, 2334}

▸ Functional Relations6 relations