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) = a2 - a(b + c) - 2bc
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(1001) lies on these lines:
1,6 2,11 3,142 7,21 8,344 31,940 35,474 42,748 63,354 182,692 388,452 527,551 529,1056 614,968 750,902 846,982 943,1058X(1001) is the {X(1),X(238)}-harmonic conjugate of X(6).
X(1001) = midpoint of X(1) and X(9)
X(1001) = reflection of X(142) in X(1125)
X(1001) = isogonal conjugate of X(1002)
X(1001) = complement of X(2550)
X(1001) = crosssum of X(I) and X(J) for these (I,J): (116,824), (788,1015)
X(1001) = crossdifference of any two points on line X(513)X(665)