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) = 2 sin(A - 2ω) + sin(A + 2ω) - sin A
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1692) lies on these lines: 3,6 51,1501 114,230 115,1503 184,1196 698,1569 1015,1428 1627,1994
X(1692) = midpoint of X(I) and X(J) for these (I,J): (6,1691), (187,1570)
X(1692) = reflection of X(I) in X(J) for these (I,J): (39,2024), (187,1570), (1570,6)
X(1692) = inverse-in-circumcircle of X(3053)
X(1692) = inverse-in-1st-Lemoine-circle of X(32)
X(1692) = inverse-in-2nd-Lemoine-circle of X(1351)
X(1692) = crosspoint of X(I) and X(J) for these (I,J): (6,1976), (230,460)
X(1692) = crosssum of X(2) and X(325)