X2417

GIBERT-SIMSON TRANSFORM OF X1295

X2417 = trilinear pole of line X123X521 (the Simson line of X1295)
< 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) { 1812, 2431 }: Central Line L(1812, 2431) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2443 = ISOGONAL CONJUGATE OF X(2417) (0.6503, 0.5882) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) X_2431 = ISOGONAL CONJUGATE OF X(2405) (3.4695, 0.1856) X_2417 = GIBERT-SIMSON TRANSFORM OF X(1295) (-15.4384, -0.6158) A B C X2443 X1812 X2431 X2417 (a, b, c) = (5, 6, 7) | AB = 1

X2417 (GIBERT-SIMSON TRANSFORM OF X1295) 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): \(16.558957947646\)

X2417 lies on the cubic K010.

▸ Incident Central Lines1 line

{1812, 2431}

▸ Functional Relations3 relations