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 (cos A)(sin 2B - sin 2C) : (cos B)(sin 2C - sin 2A) : (cos C)(sin 2A - sin 2B)
Barycentrics (sin 2A)(sin 2B - sin 2C) : (sin 2B)(sin 2C - sin 2A) : (sin 2C)(sin 2A - sin 2B)
As the isogonal conjugate of a point on the circumcircle, X(520) lies on the line at infinity.
X(520) lies on these lines: 30,511 69,879 110,250 340,850 647,652
X(520) = isogonal conjugate of X(107)
X(520) = complementary conjugate of X(122)
X(520) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,122), (68,125), (110,3)
X(520) = crosspoint of X(3) and X(110)
X(520) = crosssum of X(I) and X(J) for these (I,J): (4,523), (51,647), (512,800)
X(520) = crossdifference of any two points on line X(4)X(6)