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) = (b + c)2 - (a + b)(a + c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1757) lies on these lines:
1,6 10,894 42,846 43,63 57,1463 81,756 100,896 171,210 190,740 191,1045 200,1707 209,1762 239,726 240,1783 314,1089 320,1698 333,1215 484,513 527,1738 672,1282 765,1110 899,1054X(1757) = reflection of X(I) in X(J) for these (I,J): (1,238), (238,44)
X(1757) = isogonal conjugate of X(1929)
X(1757) = X(291)-Ceva conjugate of X(1)
X(1757) = crosspoint of X(660) and X(765)
X(1757) = crosssum of X(I) and X(J) for these (I,J): (244,659), (1931,1963)
X(1757) = X(I)-aleph conjugate of X(J) for these (I,J): (291,1757), (660,1026)