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) = a3cos B cos C
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1973) lies on these lines:
1,19 6,1245 25,41 32,1395 34,1438 47,163 112,741 255,1755 278,1429 604,608 1148,1283 1842,1886X(1973) = isogonal conjugate of X(304)
X(1973) = X(I)-Ceva conjugate of X(J) for these (I,J): (19,31), (608,1395), (1474,25)
X(1973) = X(I)-cross conjuguate of X(J) for these (I,J): (4,683), (682,3), (1196,2), (1368,305)
X(1973) = crosspoint of X(I) and X(J) for these (I,J): (19,1096), (25,608)
X(1973) = crosssum of X(I) and X(J) for these (I,J): (63,326), (69,345), (312,322), (525,1565)