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) = (b + c)a^{3} + 2(bc - b^{2} - c^{2})a^{2} + (ab + ac - 2bc)(b - c)^{2}
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)The antiorthic axis is line X(44)X(513), more simply represented as L(1), meaning the line whose coefficients in trilinear coordinates are 1 : 1 : 1, these also being trilinears for X(1). The Soddy line is X(1)X(7), alias L(657). For such identifications as these, use the MathWorld link just before X(3000).
X(3000) lies on these lines:
1,7 241,2310 527,2340X(3000) = reflection of X(2310) in X(241)
X(3000) = crosssum of X(1) and X(3000)