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 a3(b4 + c4 - a4) : b3(c4 + a4 - b4) : c3(a4 + b4 - c4)
Barycentrics a4(b4 + c4 - a4) : b4(c4 + a4 - b4) : c4(a4 + b4 - c4)This is also X(66) of the medial triangle.
X(206) lies on these lines:
2,66 5,182 6,25 26,511 69,110 157,216 160,577 219,692 237,571X(206) = midpoint of X(I) and X(J) for these (I,J): (6,159), (110,1177)
X(206) = complement of X(66)
X(206) = complementary conjugate of X(427)
X(206) = X(2)-Ceva conjugate of X(32)
X(206) = crosspoint of X(2) and X(315)
X(206) = crosssum of X(339) and X(523)