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) - a(b2 + c2 - a2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = abc(a + b + c) - a2(b2 + c2 - a2)
X(404) lies on these lines:
1,88 2,3 8,56 10,36 31,978 46,997 57,78 60,662 63,936 69,1014 81,386 104,355 108,318 145,999 149,496 603,651 612,988 976,982X(404) is the {X(2),X(3)}-harmonic conjugate of X(21). For a list of harmonic conjugates of X(404), click More at the top of this page.