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) = sin(A - 2ω)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1691) lies on these lines:
2,1501 3,6 31,893 83,316 98,230 99,698 141,1078 154,1611 184,1613 237,694 249,524 385,732 691,729 695,1176 699,805 1428,1914 1968,1974X(1691) = midpoint of X(I) and X(J) for these (I,J): (6,2076), (187,1692), (1687,1688)
X(1691) = reflection of X(I) in X(J) for these (I,J): (6,1692), (2076,187)
X(1691) = isogonal conjugate of X(1916)
X(1691) = inverse-in-circumcircle of X(32)
X(1691) = inverse-in-Brocard circle of X(3094)
X(1691) = inverse-in-1st-Lemoine-circle of X(6)
X(1691) = inverse-in-2nd-Lemoine-circle of X(576)
X(1691) = X(I)-Ceva conjugate of X(J) for these (I,J): (237,1971), (699,32), (1976,6)
X(1691) = crosspoint of X(I) and X(J) for these (I,J): (83,98), (385,419)
X(1691) = crosssum of X(39) and X(511)