X2068

POINT CURSA I

< 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, 366 }: Central Line L(6, 366) { 43, 365 }: Central Line L(43, 365) { 364, 1743 }: Central Line L(364, 1743) 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_366 = ISOGONAL CONJUGATE OF X(365) (0.5551, 0.2165) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_365 = SQUARE ROOT POINT (0.5864, 0.2502) X_364 = WABASH CENTER (EQUAL AREAS ISOSCELIZER POINT) (0.5406, 0.1984) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_2068 = POINT CURSA I (0.5779, 0.2423) A B C X6 X366 X43 X365 X364 X1743 X2068 (a, b, c) = (5, 6, 7) | AB = 1

X2068 (POINT CURSA I) 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 \(f(a,b,c) = a + b^{1/2}c^{1/2}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.513377652358\)
▸ Incident Central Lines3 lines

{6, 366}, {43, 365}, {364, 1743}