X2862

SM(X100, X105)

X2862 = isogonal conjugate of X2876
< 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) { 105, 693 }: Central Line L(105, 693) { 63, 813 }: Central Line L(63, 813) { 2, 919 }: Central Line L(2, 919) { 108, 1447 }: Central Line L(108, 1447) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2876 = ISOGONAL CONJUGATE OF X(2862) (0.9605, -0.2067) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_2 = CENTROID (0.5374, 0.2000) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1447 = -BETH CONJUGATE OF X(350) (1.1014, 1.0207) X_2862 = SM(X(100), X(105)) (0.0070, 0.2340) A B C X2876 X105 X693 X63 X813 X2 X919 X108 X1447 X2862 (a, b, c) = (5, 6, 7) | AB = 1

X2862 (SM(X100, X105)) 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 = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(10.026686054186\)

X2862 lies on the circumcircle.

▸ Incident Central Lines4 lines

{2, 919}, {63, 813}, {105, 693}, {108, 1447}

▸ Functional Relations1 relation