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) = b3c3(a2 + bc)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1920) lies on these lines:
2,561 37,1221 75,982 76,85 210,668 310,321 334,1581 1002,1611 1215,1237 1240,1441X(1920) = isotomic conjugate of X(893)
X(1920) = X(I)-Ceva conjugaute of X(J) for these (I,J): (334,1921), (1240,76)