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) = a2(b2 + c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1964) lies on these lines:
1,75 6,292 31,48 42,1100 82,662 99,719 110,745 214,995 313,730 501,595 741,757 1042,1360 1193,1386 1201,1279X(1964) = isogonal conjugate of X(3112)
X(1964) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,38), (31,1923), (662,798), (1178,6), (1581,1755)
X(1964) = crosspoint of X(I) and X(J) for these (I,J): (1,31), (39,1401)
X(1964) = crosssum of X(1) and X(75)