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 B - cos C)(csc A) : (cos C - cos A)(csc B) : (cos A - cos B)(csc C)
Barycentrics cos B - cos C : cos C - cos A : cos A - cos B
As the isogonal conjugate of a point on the circumcircle, X(522) lies on the line at infinity.
X(522) lies on this line: 9,657 30,511 100,655 101,929 190,666 240,656 243,652
X(522) = orthopoint of X(515)
X(522) = isogonal conjugate of X(109)
X(522) = isotomic conjugate of X(664)
X(522) = complementary conjugate of X(124)
X(522) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,124), (8,11), (100,10), (190,9)
X(522) = X(11)-cross conjugate of X(8)
X(522) = crosspoint of X(I) and X(J) for these (I,J): (21,100), (75,190)
X(522) = crosssum of X(I) and X(J) for these (I,J): (6,663), (31,649), (55,652), (65,513), (603,1459), (692,1415)
X(522) = crossdifference of any two points on line X(6)X(41)
X(522) = X(I)-Hirst inverse of X(J) for these (I,J): (514,918), (519,528)