X2416

GIBERT-SIMSON TRANSFORM OF X1294

X2416 = trilinear pole of line X122X520 (the Simson line of X1294)
< 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) { 525, 1073 }: Central Line L(525, 1073) { 1294, 1297 }: Central Line L(1294, 1297) { 394, 2430 }: Central Line L(394, 2430) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2442 = ISOGONAL CONJUGATE OF X(2416) (0.6310, 0.5922) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_1073 = -CROSS CONJUGATE OF X(3) (0.4792, -0.4343) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1297 = COLLINGS TRANSFORM OF X(127) (0.4838, -0.4080) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_2430 = ISOGONAL CONJUGATE OF X(2404) (8.8312, 0.2564) X_2416 = GIBERT-SIMSON TRANSFORM OF X(1294) (-3.3289, -0.0716) A B C X2442 X525 X1073 X1294 X1297 X394 X2430 X2416 (a, b, c) = (5, 6, 7) | AB = 1

X2416 (GIBERT-SIMSON TRANSFORM OF X1294) 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) is as given just before X2394
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(31.015762325561\)

X2416 lies on the cubic K010.

▸ Incident Central Lines3 lines

{394, 2430}, {525, 1073}, {1294, 1297}

▸ Functional Relations3 relations