Abstract
A method is presented for determining barycentric coordinates of points of intersection of a line and a circle. The method is applied specifically to the Euler line, the line of the circumcenter and incenter, the Brocard axis, and several circles, including the circumcircle, incircle, nine-point circle, and Brocard circle. The method also applies to intersections of certain pairs of lines, harmonic conjugate pairs, and to centers of similitude of pairs of circles.
Citation
Peter J. C. Moses. Clark Kimberling. "Intersections of Lines and Circles." Missouri J. Math. Sci. 19 (3) 176 - 187, October 2007. https://doi.org/10.35834/mjms/1316032975
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