X2384

CIR(X545)

X2384 = isogonal conjugate of X545
< 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) { 44, 100 }: Central Line L(44, 100) { 106, 649 }: Central Line L(106, 649) { 6, 901 }: Central Line L(6, 901) { 101, 902 }: Central Line L(101, 902) { 109, 1404 }: Central Line L(109, 1404) { 1017, 1252 }: Central Line L(1017, 1252) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_545 = DIRECTION OF VECTOR AX + BX + CX, where X = X(190) (-0.0013, 0.4328) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1404 = -BETH CONJUGATE OF X(44) (0.5590, 0.1678) X_1017 = POINT ALFIRK (0.4054, 0.3972) X_1252 = ISOGONAL CONJUGATE OF X(1086) (0.4699, 0.3541) X_2384 = CIR(X(545)) (0.2143, 0.5249) A B C X545 X44 X100 X106 X649 X6 X901 X101 X902 X109 X1404 X1017 X1252 X2384 (a, b, c) = (5, 6, 7) | AB = 1

X2384 (CIR(X545)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(F(u,v,w) : F(v,w,u) : F(w,u,v)\), where F is as indicated just before X2365, and \(u : v : w\) = X545.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(2.821658366500\)

X2384 lies on the circumcircle.

▸ Incident Central Lines8 lines

{6, 901}, {44, 100}, {101, 902}, {106, 649}, {109, 1404}, {813, 2177}, {1015, 2226}, {1017, 1252}

▸ Functional Relations1 relation