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 sin(B - C) : sin(C - A) : sin(A - B)
Barycentrics b2 - c2 : c2 - a2 : a2 - b2
As the isogonal conjugate of a point on the circumcircle, X(523) lies on the line at infinity.
X(523) lies on these lines: 6,879 11,1090 23,385 30,511 69,655 74,477 75,876 98,842 99,691 110,476 112,935 141,882 230,231 250,648 325,684
X(523) = orthopoint of X(30)
X(523) = isogonal conjugate of X(110)
X(523) = isotomic conjugate of X(99)
X(523) = complementary conjugate of X(125)X(523) = X(I)-Ceva conjugate of X(J) for these (I,J):
(1,11), (2,115), (4,125), (99,2), (100,442), (107,4), (108,429), (110,5), (112,427), (254,136), (264,338), (476,30), (685,1503), (1113,1312), (1114,1313)X(523) = cevapoint of X(2) and X(148)
X(523) = X(I)-cross conjugate of X(J) for these (I,J): (115,2), (125,4)
X(523) = crosspoint of X(I) and X(J) for these (I,J): (2,99), (4,107), (54,110), (112,251)
X(523) = crossdifference of any two points on line X(3)X(6)
X(523) = X(30)-line conjugate of X(511)X(523) = crosssum of X(I) and X(J) for these (I,J): (3,520), (5,523), (6,512), (101,692), (141,525), (184,647), (215,654), (513,942), (521,960), (924,1147)
X(523) = orthojoin of X(115)
X(523) = X(I)-Hirst inverse of X(J) for these (I,J): (6,1316), (30,542), (512,804)