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) = (J2 - 2) cos A + 4 cos B cos C, where J is as at X(1113)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2070) lies on these lines:
2,3 49,52 51,567 54,143 98,1287 110,1154 184,568 187,2079 231,1989 399,1495 476,1141 500,501 827,842X(2070) = midpoint of X(23) and X(186)
X(2070) = reflection of X(I) in X(J) for these (I,J): (3,186), (2072,468)
X(2070) = inverse-in-circumcircle of X(5)
X(2070) = X(94)-Ceva conjugate of X(6)
X(2070) = crosspoint of X(I) and X(J) for these (I,J): (250,476), (1141,1166)
X(2070) = crosssum of X(I) and X(J) for these (I,J): (125,526), (1154,1209)