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) = bc(a + b + c) + abc cos A
Barycentrics b + c + a(1 + cos A) : c + a + b(1 + cos B) : a + b + c(1 + cos C)
X(405) lies on these lines: 1,6 2,3 8,943 10,55 56,226 58,940 63,942 284,965 329,999 756,976 846,986
X(405) is the {X(2),X(3)}-harmonic conjugate of X(474). For a list of harmonic conjugates of X(405), click More at the top of this page.
X(405) = inverse-in-orthocentroidal circle of X(442)
X(405) = complement of X(377)
X(405) = crosssum of X(838) and X(1015)
X(405) = crossdifference of any two points on line X(513)X(647)