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(86)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1730) lies on these lines:
1,228 2,573 4,1715 6,57 19,1708 25,1754 27,1746 28,580 40,405 46,1707 51,851 63,169 165,1011 278,1020 572,1817 1709,1889 1735,1905 1736,1824 1786,1787X(1730) = X(286)-Ceva conjugate of X(1)
X(1730) = X(I)-aleph conjugate of X(J) for these (I,J): (27,1724), (92,1710), (174,1047), (286,1730)