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 bc(b4 + c4 - a4) : ca(c4 + a4 - b4) : ab(a4 + b4 - c4)
Barycentrics b4 + c4 - a4 : c4 + a4 - b4 : a4 + b4 - c4
X(315) lies on these lines:
2,32 3,325 4,69 5,183 8,760 20,99 68,290 192,746 194,736 274,377 297,394 343,458 371,491 372,492 631,1007X(315) = midpoint of X(637) and X(638)
X(315) = reflection of X(I) in X(J) for these (I,J): (32,626), (371,640), (372,639)
X(315) = isogonal conjugate of X(2353)
X(315) = isotomic conjugate of X(66)
X(315) = anticomplement of X(32)
X(315) = anticomplementary conjugate of X(194)
X(315) = X(I)-cross conjugate of X(J) for these (I,J): (206,2)