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) = a(b2 + c2) - bc(b + c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)The Moses circle, M, is introduced at X(1015); the (1/2)-Moses circle is concentric to M with half the radius of M. The insimilicenter of the Spieker and (1/2)-Moses circles is X(1107).
X(1575) lies on these lines:
2,37 6,43 10,39 42,1100 44,513 71,992 172,404 239,292 291,518 519,1015 574,993 1009,1104 1125,1500X(1575) = complement of X(350)
X(1575) = X(I)-Ceva conjugate of X(J) for these (I,J): (239,518), (292,37)
X(1575) = cevapoint of X(43) and X(2108)
X(1575) = crosspoint of X(2) and X(291)
X(1575) = crosssum of X(I) and X(J) for these (I,J): (1,1575), (6,238)
X(1575) = crossdifference of any two points on line X(1)X(667)