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) = 1/[- (cos A)/x + (cos B)/y + (cos C)/z], x : y : z = X(264)
Trilinears tan 2A : tan 2B : tan 2C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1820) lies on these lines:
1,563 19,91 68,71 1400,1454 1760,1821X(1820) = isogonal conjugate of X(1748)
X(1820) = crosspoint of X(63) and X(921)
X(1820) = crosssum of X(19) and X(920)