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 - 4(area ABC)]
= 2 sin A sin ω - sin(A + ω) (Peter J. C. Moses, 9/12/03)
= cos A + (sin A)(- 2 + cot ω) (Peter J. C. Moses, 9/12/03)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1505) = external center of similitude of the Moses circle and the 2nd Lemoine circle. [See X(1500); Peter J. C. Moses, 6/2/03]
X(1505) lies on these lines:
2,589 3,6 115,486 394,494 485,1508 492,626 615,640 1015,1335 1124,1500X(1505) = X(1307)-Ceva conjugate of X(512)
X(1505) = crosspoint of X(6) and X(494)