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 a2 + bc : b2 + ca : c2 + ab
Barycentrics a3 + abc : b3 + abc : c3 + abc
X(171) lies on these lines: 1,3 2,31 4,601 6,43 7,983 10,58 37,846 42,81 47,498 63,612 72,1046 84,989 98,109 181,511 222,611 292,893 319,757 385,894 388,603 474,978 595,1125 602,631 756,896
X(171) = isogonal conjugate of X(256)
X(171) = X(292)-Ceva conjugate of X(238)
X(171) = X(I)-beth conjugate of X(J) for these (I,J): (100,171), (643,42)