X2750

SR(X105, X108)

X2750 = isogonal conjugate of X2834
< 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, 521 }: Central Line L(105, 521) { 108, 518 }: Central Line L(108, 518) { 69, 927 }: Central Line L(69, 927) { 219, 919 }: Central Line L(219, 919) { 109, 1818 }: Central Line L(109, 1818) { 200, 2222 }: Central Line L(200, 2222) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2834 = ISOGONAL CONJUGATE OF X(2750) (0.8479, -0.2980) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1818 = INVERSE MIMOSA TRANSFORM OF X(1282) (-0.1296, -0.2419) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_2222 = -ISOCONJUGATE OF X(654) (0.9870, 0.2545) X_2750 = SR(X(105), X(108)) (0.0036, -0.0162) A B C X2834 X105 X521 X108 X518 X69 X927 X219 X919 X109 X1818 X200 X2222 X2750 (a, b, c) = (5, 6, 7) | AB = 1

X2750 (SR(X105, X108)) 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 X2677 using P = X105, U = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(11.828065348463\)

X2750 lies on the circumcircle.

▸ Incident Central Lines6 lines

{69, 927}, {105, 521}, {108, 518}, {109, 1818}, {200, 2222}, {219, 919}

▸ Functional Relations1 relation