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) = bc[a3(b + c) + (b - c)2(a2 - ab - ac - b2 - c2 - 2bc)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(946) lies on these lines:
1,4 2,40 3,142 5,10 7,84 8,908 11,65 29,102 30,551 46,499 56,1012 79,104 165,631 238,580 355,381 392,442 496,942 546,952 951,1067X(946) = midpoint of X(I) and X(J) for these (I,J): (1,4), (40,962)
X(946) = reflection of X(I) in X(J) for these (I,J): (3,1125), (10,5)
X(946) = inverse-in-incircle of X(1785)
X(946) = isogonal conjugate of X(947)
X(946) = complement of X(40)
X(946) = crosspoint of X(I) and X(J) for these (I,J): (2,309), (7,92)
X(946) = crosssum of X(48) and X(55)