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) = (b - c)(b + c - 2a)/a
Barycentrics (b - c)(b + c - 2a) : (c - a)(c + a - 2b) : (a - b)(a + b - 2c)
As the isogonal conjugate of a point that lies on the circumcircle, X(900) lies on the line at infinity.
X(900) lies on these lines:
11,244 30,511 37,665 100,190 335,876 673,885X(900) = isogonal conjugate of X(901)
X(900) = X(80)-Ceva conjugate of X(11)
X(900) = crosspoint of X(100) and X(104)
X(900) = crosssum of X(I) and X(J) for these (I,J): (55,654), (513,517), (649,902)
X(900) = crossdifference of any two points on line X(6)X(101)