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) = - (cos A)/x + (cos B)/y + (cos C)/z, x : y : z = X(106)
Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b3 + c3 + ab2 + ac2 - 2bc2 - 2b2c (M. Iliev, 5/13/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1739) lies on these lines:
1,474 10,38 36,1054 46,1707 238,484 240,522 244,519 278,1714 758,899 986,1698X(1739) = crosspoint of X(75) and X(88)
X(1739) = crosssum of X(31) and X(44)