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 (sin 4A)/sin A : (sin 4B)/sin B : (sin 4C)/sin C
Barycentrics sin 4A : sin 4B : sin 4CV. Thebault, "Sine-triple-angle-circle," Mathesis 65 (1956) 282-284. (Contributed by Edward Brisse, 3/4/02)
X(1147) lies on these lines:
2,54 3,49 4,110 5,578 24,52 26,206 30,156 55,1069 56,215 140,141 143,576 195,568 912,960X(1147) = midpoint of X(3) and X(155)
X(1147) = isogonal conjugate of X(847)
X(1147) = complement of X(68)
X(1147) = X(54)-Ceva conjugate of X(3)
X(1147) = crosspoint of X(I) and X(J) for these (I,J): (2,317), (371,372)
X(1147) = crosssum of X(485) and X(486)