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) = 1 - 2 cos B cos C
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
Peter Yff, "Three concurrent congruent circles 'inscribed' in a triangle," manuscript, 1998; X(1479) is the point C' on page 5. See also X(495)-X(499).
X(1479) lies on these lines:
1,4 2,35 3,11 5,55 7,79 8,80 12,381 20,36 30,56 46,516 63,90 148,330 156,215 315,350 377,1125 382,999 387,1203 442,1001 495,546 528,1329 614,1370 1387,1388X(1479) = reflection of X(I) in X(J) for these (I,J): (46,1210), (56,496)
X(1479) = X(1067)-Ceva conjugate of X(1)