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 a3(b2 - c2)2 : b3(c2 - a2)2 : c3(a2 - b2)2
Barycentrics a4(b2 - c2)2 : b4(c2 - a2)2 : c4(a2 - b2)2
Let f(a,b,c) = a3(b2 - c2)2. Then the line
f(a,b,c)x + f(b,c,a)y + f(c,a,b)z = 0 is tangent to the circumcircle at X(99).
X(1084) lies on these lines: 2,670 6,694 39,597 115,804 351,865
X(1084) = midpoint of X(6) and X(694)
X(1084) = complement of X(670)
X(1084) = crosspoint of X(2) and X(512)
X(1084) = crosssum of X(I) and X(J) for these (I,J): (6,99), (76,670), (799,873)
X(1084) = crossdifference of any two points on line X(99)X(670)