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(9)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1709) lies on these lines:
1,84 4,46 9,165 11,57 30,40 31,990 33,109 35,1490 55,971 63,516 553,946 774,1448 846,1742 968,991 1707,1711 1719,1744 1730,1889X(1709) = reflection of X(1) in X(1012)
X(1709) = X(281)-Ceva conjugate of X(1)
X(1709) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1723), (92,1729), (188,610), (281,1709), (366,223)