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 a(b - c)^{2} : b(c - a)^{2} : c(a - b)^{2}
Barycentrics a^{2}(b - c)^{2} : b^{2}(c - a)^{2} : c^{2}(a - b)^{2}The circle having center X(39) and radius 2R sin^{2}ω, where R denotes the circumradius of triangle ABC, is here introduced as the Moses circle. It is tangent to the nine-point circle at X(115), and its internal and external centers of similitude with the incircle are X(1500) and X(1015), respectively. (Peter J. C. Moses, 5/29/03)
X(1015) lies on these lines:
1,39 2,668 6,101 11,115 32,56 36,187 37,537 55,574 76,330 214,1100 216,1060 244,665 350,538 812,1086X(1015) = midpoint of X(1) and X(291)
X(1015) = isogonal conjugate of X(1016)
X(1015) = complement of X(668)
X(1015) = crosspoint of X(2) and X(513)
X(1015) = crosssum of X(I) and X(J) for these (I,J): (1,1018), (2,190), (6,100), (8,644), (101,595), (345,1332)
X(1015) = crossdifference of any two points on line X(100)X(190)