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) = bc(b - c)2(b2 + c2 - a2) (M. Iliev, 5/13/07)
X(1565) lies on these lines:
3,348 4,279 5,85 7,104 11,1111 77,1060 84,738 116,514 150,664 304,337 515,1323 812,1015 1119,1440 1364,1367X(1565) = midpoint of X(150) and X(664)
X(1565) = reflection of X(1146) in X(116)
X(1565) = X(I)-Ceva conjugate of X(J) for these (I,J): (279,514), (304,525), (348,905)
X(1565) = crosspoint of X(7) and X(693)
X(1565) = crosssum of X(55) and X(692)