X2431

ISOGONAL CONJUGATE OF X2405

X2431 is the isogonal conjugate of X2405.
< 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, 2417 }: Central Line L(1812, 2417) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2405 = GIBERT-SIMSON TRANSFORM OF X(108) (0.6759, 0.5949) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) X_2417 = GIBERT-SIMSON TRANSFORM OF X(1295) (-15.4384, -0.6158) X_2431 = ISOGONAL CONJUGATE OF X(2405) (3.4695, 0.1856) A B C X2405 X1812 X2417 X2431 (a, b, c) = (5, 6, 7) | AB = 1

X2431 (ISOGONAL CONJUGATE OF X2405) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as given just before X2394
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(-58.694800611973\)

X2431 lies on the cubic K162.

▸ Incident Central Lines1 line

{1812, 2417}

▸ Functional Relations1 relation