X2863

SM(X100, X106)

X2863 = isogonal conjugate of X2877
< 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) { 106, 693 }: Central Line L(106, 693) { 75, 901 }: Central Line L(75, 901) { 813, 1150 }: Central Line L(813, 1150) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2877 = ISOGONAL CONJUGATE OF X(2863) (0.9962, -0.1660) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_1150 = INTERSECTION OF LINES X(2)X(6) AND X(3)X(8) (0.4725, 0.1302) X_2863 = SM(X(100), X(106)) (0.2551, 0.2499) A B C X2877 X106 X693 X75 X901 X813 X1150 X2863 (a, b, c) = (5, 6, 7) | AB = 1

X2863 (SM(X100, X106)) 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 given just before X2855 using P = X100 and U = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.374201770799\)

X2863 lies on the circumcircle.

▸ Incident Central Lines3 lines

{75, 901}, {106, 693}, {813, 1150}

▸ Functional Relations1 relation