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(27)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1713) lies on these lines:
1,6 4,579 19,1708 71,950 284,1006 379,1445 393,1714 580,1172 583,1901 1712,1741X(1713) = crosspoint of X(765) and X(823)
X(1713) = crosssum of X(244) and X(822)
X(1713) = X(I)-aleph conjugate of X(J) for these (I,J): (4,846), (27,6), (92,1761)