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(1171)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1778) lies on these lines:
6,21 9,58 19,1707 28,579 37,81 44,1333 90,1172 284,1743 580,1765 896,1761 966,1010 1396,1708 1474,1732X(1778) = cevapoint of X(1707) and (1724)