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(102)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1735) lies on these lines:
1,3 10,1074 34,1158 109,1870 240,522 607,1729 774,1210 920,1724 946,1393 1711,1720 1718,1727 1730,1905 1765,1880X(1735) = crosssum of X(31) and X(2182)