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 a3/(b2 - c2) : b3/(c2 - a2) : c3/(a2 - b2)
Barycentrics a4/(b2 - c2) : b4/(c2 - a2) : c4/(a2 - b2)
X(1576) is the perspector of the excentral triangle and the apices of equilateral triangles constructed outward from the sides, as in the construction of X(13). (Paul Yiu, 2/27/04).
X(1576) lies on these lines:
3,1177 6,157 32,1084 50,237 99,827 107,933 110,351 160,206 163,692 250,523 338,1316 662,1492
X(1576) = midpoint of X(648) and X(1632)
X(1576) = isogonal conjugate of X(850)
X(1576) = X(I)-Ceva conjugate of X(J) for these (I,J): (249,1501), (250,6), (827,110), (933,112)
X(1576) = cevapoint of X(I) and X(J) for these (I,J): (32,669), (39,647), (51,512)
X(1576) = X(I)-cross conjugate of X(J) for these (I,J): (669,32), (1501,249)
X(1576) = crosspoint of X(110) and X(112)
X(1576) = crosssum of X(523) and X(525)
X(1576) = crossdifference of any two points on line X(115)X(127)