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) = (cos A)/(y + z), x : y : z = X(484)
Trilinears 1/(2 - sec A) : 1/(2 - sec B) : 1/(2 - sec C)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1807) lies on these lines:
1,5 3,201 29,1897 37,101 72,283 73,265 77,1060 78,1062 102,517 296,916 912,1795 942,951 945,1482 947,1385 976,1036 999,1037X(1807) = isogonal conjugate of X(1870)
X(1807) = crosssum of X(I) and X(J) for these (I,J): (1,1718), (1464,1835)