X2432

ISOGONAL CONJUGATE OF X2406

X2432 is the isogonal conjugate of X2406.
< 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, 652 }: Central Line L(6, 652) { 19, 650 }: Central Line L(19, 650) { 57, 905 }: Central Line L(57, 905) { 654, 909 }: Central Line L(654, 909) { 649, 1436 }: Central Line L(649, 1436) { 102, 2291 }: Central Line L(102, 2291) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2406 = GIBERT-SIMSON TRANSFORM OF X(109) (0.8660, 0.6781) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_652 = CROSSDIFFERENCE OF X(1) AND X(4) (7.2558, -0.6836) X_19 = CLAWSON POINT (0.6246, 0.4244) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_654 = CROSSDIFFERENCE OF X(1) AND X(5) (2.8235, 1.7291) X_909 = POINT ADHAFERA (0.9286, -0.3499) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_1436 = -BETH CONJUGATE OF X(282) (0.6039, 0.6642) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_2291 = -ISOCONJUGATE OF X(1155) (0.9245, -0.1812) X_2432 = ISOGONAL CONJUGATE OF X(2406) (1.3884, 0.1546) A B C X2406 X6 X652 X19 X650 X57 X905 X654 X909 X649 X1436 X102 X2291 X2432 (a, b, c) = (5, 6, 7) | AB = 1

X2432 (ISOGONAL CONJUGATE OF X2406) 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): \(-12.428397074026\)

X2432 lies on the cubic K162.

▸ Incident Central Lines7 lines

{6, 652}, {19, 650}, {57, 905}, {102, 2291}, {333, 2399}, {649, 1436}, {654, 909}

▸ Functional Relations1 relation