X2382

CIR(X537)

X2382 = Ψ(X190, X44)
< 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) { 100, 238 }: Central Line L(100, 238) { 106, 667 }: Central Line L(106, 667) { 6, 813 }: Central Line L(6, 813) { 1, 898 }: Central Line L(1, 898) { 31, 901 }: Central Line L(31, 901) { 649, 739 }: Central Line L(649, 739) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_537 = DIRECTION OF VECTOR AX + BX + CX, where X = X(38) (-0.0190, 0.3866) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_1 = INCENTER (0.5714, 0.2333) X_898 = ISOGONAL CONJUGATE OF X(891) (0.9234, -0.1828) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_739 = EVEN (- 1, 0) CIRCUMCIRCLE POINT (1.0101, 0.0884) X_2382 = CIR(X(537)) (0.2893, 0.5668) A B C X537 X100 X238 X106 X667 X6 X813 X1 X898 X31 X901 X649 X739 X2382 (a, b, c) = (5, 6, 7) | AB = 1

X2382 (CIR(X537)) 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 \(u : v : w\) = X537.
Barycentrics: \(aF(u,v,w) : bF(v,w,u) : cF(w,u,v)\)
Search Value (6, 9, 13): \(1.450132753625\)

X2382 lies on the circumcircle.

▸ Incident Central Lines9 lines

{1, 898}, {6, 813}, {31, 901}, {100, 238}, {101, 1914}, {106, 667}, {109, 1428}, {649, 739}, {805, 1178}

▸ Functional Relations2 relations