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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(b2 + c2) + bc(b + c)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(1107) = midpoint of the bicentric pair y : z : x and z : x : y, where x : y : z = X(213)
X(1107) = insimilicenter of the Spieker and (1/2)-Moses circle. [The (1/2)-Moses circle is described at X(1575).]
X(1107) lies on these lines: 1,6 2,330 10,39 32,993 75,194 210,869 239,257
X(1107) = isogonal conjugate of X(1258)
X(1107) = isotomic conjugate of X(1221)
X(1107) = complement of X(1909)
X(1107) = crosspoint of X(I) and X(J) for these (I,J): (1,274), (2,256), (81,87)
X(1107) = crosssum of X(I) and X(J) for these (I,J): (1,213), (6,171), (37,43)