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 - ω) + sin A
Trilinears g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = cos A + (sec ω + tan ω) sin A
Trilinears h(A,B,C) : h(B,C,A): h(C,A,B), where h(A,B,C) = sin(A - ω/2 + π/4) (M. Iliev, 5/13/07)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1687) lies on these lines:
3,6 83,2010 98,2009 485,1677 486,1676 1124,1672 1335,1672 1377,1681 1378,1680 1700,1703 1701,1702X(1687) = reflection of X(1688) in X(1691)
X(1687) = isogonal conjugate of X(2009)
X(1687) = inverse-in-circumcircle of X(1688)
X(1687) = inverse-in-Brocard-circle of X(1690)
X(1687) = inverse-in-1st-Lemoine-circle of X(1688)
X(1687) = X(98)-Ceva conjugate of X(1688)