X2434

ISOGONAL CONJUGATE OF X2408

X2434 is the isogonal conjugate of X2408.
< 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) { 6, 373 }: Central Line L(6, 373) { 110, 1296 }: Central Line L(110, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2408 = GIBERT-SIMSON TRANSFORM OF X(111) (0.9952, 0.0250) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_373 = CENTROID OF THE PEDAL TRIANGLE OF THE CENTROID (0.5614, 0.2395) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2434 = ISOGONAL CONJUGATE OF X(2408) (-0.7602, -0.7083) A B C X2408 X6 X373 X110 X1296 X2434 (a, b, c) = (5, 6, 7) | AB = 1

X2434 (ISOGONAL CONJUGATE OF X2408) 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): \(3.550276557377\)

X2434 lies on the cubic K162.

▸ Incident Central Lines2 lines

{6, 373}, {110, 1296}

▸ Functional Relations2 relations