X3352

ISOGONAL CONJUGATE OF X3351

X3352 is the isogonal conjugate of X3351.
< 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) { 3, 3341 }: Central Line L(3, 3341) { 1, 3350 }: Central Line L(1, 3350) { 9, 3343 }: Central Line L(9, 3343) { 2, 3351 }: Central Line L(2, 3351) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3341 = -CEVA CONJUGATE OF X(282) (0.6101, 0.5135) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1 = INCENTER (0.5714, 0.2333) X_3350 = INTERSECTION OF LINES X(3)X(2131) AND X(4)X(1073) (0.5892, 0.2523) X_9 = MITTENPUNKT (0.5110, 0.1615) X_3343 = -CEVA CONJUGATE OF X(1073) (0.6143, 0.3503) X_2 = CENTROID (0.5374, 0.2000) X_3351 = -CEVA CONJUGATE OF X(3342) (0.6100, 0.2900) X_3352 = ISOGONAL CONJUGATE OF X(3351) (0.5206, 0.1791) A B C X6 X3341 X3 X1 X3350 X9 X3343 X2 X3351 X3352 (a, b, c) = (5, 6, 7) | AB = 1

X3352 (ISOGONAL CONJUGATE OF X3351) 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 \(f(a,b,c) = 1/x(3351)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.779699801931\)

X3352 lies on the Thomson cubic.

▸ Incident Central Lines4 lines

{1, 3350}, {2, 3351}, {3, 3341}, {9, 3343}

▸ Functional Relations4 relations