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) = a2 + b2 + c2 - 2bc (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(614) lies on these lines: 1,2 6,354 9,38 11,33 21,988 22,36 25,34 31,57 46,595 63,238 106,998 165,902 251,609 269,479 278,1096 305,350 394,613 496,1062 497,1040 968,1001
X(614) = crosspoint of X(I) and X(J) for these (I,J): (1,269), (28,86)
X(614) = crosssum of X(42) and X(72)