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) = b3c3/(b - c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1978) lies on these lines:
75,244 99,835 100,789 101,689 190,670 310,321 312,561 668,891 811,1897X(1978) = isogonal conjugate of X(1919)
X(1978) = isotomic conjugate of X(649)
X(1978) = X(670)-Ceva conjugate of X(668)
X(1978) = cevapoint of X(I) and X(J) for these (I,J): (75,514), (321,693), (646,668), (850,1230)
X(1978) = crosssum of X(669) and X(1924)