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) = 1/(1 + sin A + cos A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
For a discussion of this point, see
Paul Yiu, Introduction to the Geometry of the Triangle, 2002, Article 3.5.4 Exercise 4d.
(The preceding Exercise 4c presents the Paasche point, X(1123),) (Contributed by Darij Grinberg, 8/24/03)
X(1659) lies on these lines: 1,4 2,176 57,482 75,491 92,1585 553,1373
X(1659) = isogonal conjugate of X(2066)
X(1659) = X(482)-cross conjugate of X(7)
X(1659) = crosssum of X(48) and X(605)