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(55)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1721) lies on these lines:
1,7 4,1716 19,1633 40,984 43,1750 46,1736 165,846 294,1743 1039,1885 1040,1836 1045,1047 1707,1709 1720,1771X(1721) = reflection of X(1) in X(990)
X(1721) = X(33)-Ceva conjugate of X(1)
X(1721) = X(I)-aleph conjugate of X(J) for these (I,J): (1,223), (4,1708), (9,1490), (19,1722), (29,1746), (33,1721), (188,1763), (259,1745), (281,1158), (1172,580), (1783,109)