X3249

SS(a → bc) OF X764

X3249 = crossdifference of every pair of points on the line X350X899
< 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) { 1, 649 }: Central Line L(1, 649) { 330, 514 }: Central Line L(330, 514) { 213, 667 }: Central Line L(213, 667) { 32, 1919 }: Central Line L(32, 1919) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_330 = ISOTOMIC CONJUGATE OF X(192) (0.4364, 0.1391) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1919 = BICENTRIC DIFFERENCE OF PU(12) (-2.5853, 3.3187) X_3249 = SS(a → bc) OF X(764) (1.2119, -0.1962) A B C X1 X649 X330 X514 X213 X667 X32 X1919 X3249 (a, b, c) = (5, 6, 7) | AB = 1

X3249 (SS(a → bc) OF X764) 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 \(f(a,b,c) = (ab - ac)^{3}\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.468564134728\)
▸ Incident Central Lines4 lines

{1, 649}, {32, 1919}, {213, 667}, {330, 514}

▸ Functional Relations3 relations