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) = (b + c)(bc - a2)/(b + c - a)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1284) is the homothetic center of the intouch intriangle and the triangle DEF constructed at X(1281). Coordinates were found by Jean-Pierre Ehrmann. See Hyacinthos #6293 and #6315.
X(1284) lies on these lines:
1,256 7,21 37,65 57,846 350,1281 513,663
X(1284) = crosspoint of X(I) and X(J) for these (I,J): (1,98), (238,242), (1429,1447)
X(1284) = crosssum of X(I) and X(J) for these (I,J): (1,511), (291,295)
X(1284) = X(65)-Hirst inverse of X(1400)