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 cot2(A/2) : cot2(B/2) : cot2(C/2)
= (b + c - a)2 : (c + a - b) 2 : (a + b - c)2Barycentrics a(b + c - a)2 : b(c + a - b) 2 : c(a + b - c)2
X(200) lies on these lines:
1,2 3,963 9,55 33,281 40,64 46,1004 57,518 63,100 69,269 159,197 219,282 220,728 255,271 318,1089 319,326 329,516 341,1043 756,968X(200) is the {X(8),X(78)}-harmonic conjugate of X(1). For a list of harmonic conjugates of X(200), click More at the top of this page.
X(200) = reflection of X(I) in X(J) for these (I,J): (1,997), (57,1376)
X(200) = isogonal conjugate of X(269)
X(200) = isotomic conjugate of X(1088)
X(200) = X(8)-Ceva conjugate of X(9)
X(200) = cevapoint of X(220) and X(480)
X(200) = X(220)-cross conjugate of X(9)
X(200) = crosspoint of X(8) and X(346)
X(200) = crosssum of X(I) and X(J) for these (I,J): (56,1407), (57,1420), (1042,1427)
X(200) = X(I)-beth conjugate of X(J) for these (I,J): (100,223), (200,55), (643,165)