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 - cos A : cos C + cos A - cos B : cos A + cos B - cos C
Barycentrics a(cos B + cos C - cos A) : b(cos C + cos A - cos B) : c(cos A + cos B - cos C)
X(46) lies on these lines:
1,3 4,90 9,79 10,63 19,579 34,47 43,851 58,998 78,758 80,84 100,224 158,412 169,672 200,1004 218,910 222,227 225,254 226,498 269,1103 404,997 474,960 499,946 595,614 750,975 978,1054X(46) is the {X(3),X(65)}-harmonic conjugate of X(1).
X(46) = reflection of X(I) in X(J) for these (I,J): (1,56), (1479,1210)
X(46) = isogonal conjugate of X(90)
X(46) = inverse-in-Bevan-circle of X(36)
X(46) = X(4)-Ceva conjugate of X(1)
X(46) = crosssum of X(3) and X(1069)
X(46) = X(I)-aleph conjugate of X(J) for these (I,J): (4,46), (174,223), (188,1079), (366,610), (653,1020)
X(46) = X(100)-beth conjugate of X(46)