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 csc A tan2A/2 : csc B tan2B/2 : csc C tan2C/2
= bc[a2 - (b - c)2]2 : ca[b2 - (c - a)2]2 : ab[c2 - (a - b)2]2Barycentrics tan2A/2 : tan2B/2 : tan2C/2
X(279) lies on these lines: 1,7 2,85 28,1014 56,105 57,479 65,1002 144,220 145,664 304,346 942,955 985,1106
X(279) = isogonal conjugate of X(220)
X(279) = isotomic conjugate of X(346)
X(279) = cevapoint of X(57) and X(269)
X(279) = X(I)-cross conjugate of X(J) for these (I,J): (57,7), (269,479)
X(279) = crosssum of X(1) and X(170)