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October 2007 Intersections of Lines and Circles
Peter J. C. Moses, Clark Kimberling
Missouri J. Math. Sci. 19(3): 176-187 (October 2007). DOI: 10.35834/mjms/1316032975

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

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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

Information

Published: October 2007
First available in Project Euclid: 14 September 2011

zbMATH: 1149.51011
Digital Object Identifier: 10.35834/mjms/1316032975

Subjects:
Primary: 51N20

Rights: Copyright © 2007 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.19 • No. 3 • October 2007
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