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 2 - cos A : 2 - cos B : 2 - cos C (Joe Goggins, 2002)
= f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(a2 + 4bc - b2 - c2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(999) lies on these lines: 1,3 2,495 4,496 5,388 6,101 7,104 8,474 11,381 12,499 20,1058 30,497 63,392 77,1057 78,1059 81,859 145,404 329,405 376,390 518,997 527,551 601,1106 938,944 954,1006
X(999) is the {X(1),X(56)}-harmonic conjugate of X(3).
X(999) = midpoint of X(1) and X(57)
X(999) = isogonal conjugate of X(1000)
X(999) = X(89)-Ceva conjugate of X(6)
X(999) = crossdifference of any two points on line X(650)X(900)