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 B cos C + (bc cos2A)/a2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1975) lies on these lines:
3,76 4,325 6,194 20,64 25,305 30,315 32,538 56,350 75,958 190,220 221,664 264,1105 274,405 310,1011 316,382 378,1235 394,401 543,626 801,1073X(1975) = midpoint of X(489) and X(490)
X(1975) = X(I)-Ceva conjugate of X(J) for these (I,J): (287,325), (801,69)
X(1975) = cevapoint of X(20) and X(194)