X3344

ISOGONAL CONJUGATE OF X3343

X3344 is the isogonal conjugate of X3343.
< 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) { 2, 1032 }: Central Line L(2, 1032) { 3, 1033 }: Central Line L(3, 1033) { 9, 3341 }: Central Line L(9, 3341) { 1, 3351 }: Central Line L(1, 3351) { 6, 3350 }: Central Line L(6, 3350) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3343 = -CEVA CONJUGATE OF X(1073) (0.6143, 0.3503) X_2 = CENTROID (0.5374, 0.2000) X_1032 = CYCLOCEVIAN CONJUGATE OF X(20) (0.3836, -0.1007) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1033 = -CEVA CONJUGATE OF X(25) (0.5778, 0.9664) X_9 = MITTENPUNKT (0.5110, 0.1615) X_3341 = -CEVA CONJUGATE OF X(282) (0.6101, 0.5135) X_1 = INCENTER (0.5714, 0.2333) X_3351 = -CEVA CONJUGATE OF X(3342) (0.6100, 0.2900) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3350 = INTERSECTION OF LINES X(3)X(2131) AND X(4)X(1073) (0.5892, 0.2523) X_3344 = ISOGONAL CONJUGATE OF X(3343) (0.5027, 0.1321) A B C X3343 X2 X1032 X3 X1033 X9 X3341 X1 X3351 X6 X3350 X3344 (a, b, c) = (5, 6, 7) | AB = 1

X3344 (ISOGONAL CONJUGATE OF X3343) 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 \(f(a,b,c) = 1/(x(-ax + by + cz))\), where \(x : y : z\) = X1073
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.371321680159\)

X3344 lies on the Thomson cubic.

▸ Incident Central Lines5 lines

{1, 3351}, {2, 1032}, {3, 1033}, {6, 3350}, {9, 3341}

▸ Functional Relations8 relations