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) = (b2 + c2 - a2)[a3(b + c) - (b - c)2(a2 + a(b + c) - (b + c)2)][(a3 - (b + c)(a2 + a(b + c) - (b - c)2)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)X(1071) appears in Hyacinthos message #3849, Paul Yiu, Sept. 19, 2001.
X(1071) lies on these lines: 1,84 4,7 10,2801 20,145 21,104 27,1871 63,72 198,1741 227,1735 355,377 412,1872 496,1519 774,1458 910,1729 1210,1532 1317,1364
X(1071) = reflection of X(I) in X(J) for these (I,J): (4,942) (72,3)
X(1071) = crosspoint of X(7) and X(63)
X(1071) = crosssum of X(I) and X(J) for these (I,J): (1,1777) (19,55) (25,2331)