X2401

GIBERT-SIMSON TRANSFORM OF X104

X2401 = cevapoint of X650 and X900
< 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) { 104, 105 }: Central Line L(104, 105) { 1, 522 }: Central Line L(1, 522) { 57, 514 }: Central Line L(57, 514) { 2, 905 }: Central Line L(2, 905) { 513, 957 }: Central Line L(513, 957) { 909, 2224 }: Central Line L(909, 2224) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2427 = ISOGONAL CONJUGATE OF X(2401) (1.2000, 0.9798) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1 = INCENTER (0.5714, 0.2333) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_2 = CENTROID (0.5374, 0.2000) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_957 = ISOGONAL CONJUGATE OF X(956) (0.6245, 0.3599) X_909 = POINT ADHAFERA (0.9286, -0.3499) X_2224 = -ISOCONJUGATE OF X(674) (0.9721, -0.2371) X_2401 = GIBERT-SIMSON TRANSFORM OF X(104) (1.1020, 0.1000) A B C X2427 X104 X105 X1 X522 X57 X514 X2 X905 X513 X957 X909 X2224 X2401 (a, b, c) = (5, 6, 7) | AB = 1

X2401 (GIBERT-SIMSON TRANSFORM OF X104) 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) is as given just before X2394
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-4.274816360542\)

X2401 lies on the cubic K010.

▸ Incident Central Lines8 lines

{1, 522}, {2, 905}, {57, 514}, {81, 2423}, {104, 105}, {513, 957}, {655, 2406}, {909, 2224}

▸ Functional Relations4 relations