Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = (cos A)(1 + csc A sin B sin C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)Barycentrics (b2 + c2 - a2)(a2 + 2σ) : (c2 + a2 - b2)(b2 + 2σ) : (a2 + b2 - c2)(c2 + 2σ) (M. Iliev, 5/13/07)
X(488) is a perspector of triangles associated with squares that circumscribe ABC. For details, see Vierkanten in een driehoek: 2. Meer punten uit omgeschreven vierkanten (Floor van Lamoen, 4/29/98)
X(488) lies on these lines: 2,372 3,69 4,490 193,371 376,489 491,631
X(488) = reflection of X(485) in X(641)
X(488) = anticomplement of X(485)
X(488 = anticomplementary conjugate of X(637)
X(488) = X(I)-Ceva conjugate of X(J), for these (I,J): (4,487), (490,20), (492,2)