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May 2007 A Collection of Loci Using Two Fixed Points
Dustin L. Jones
Missouri J. Math. Sci. 19(2): 141-150 (May 2007). DOI: 10.35834/mjms/1316092493

Abstract

The use of dynamic geometry software in constructing loci with various conditions placed on the distances from two fixed points is described, where either (1) the sum of the squares, (2) the difference of the squares, (3) the ratio, or (4) the product of the two distances is constant. The equation of each locus analytically is also derived. In the first three cases, the loci are circles or lines. In the fourth case, the locus is a spiric section described by a quartic equation.

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Dustin L. Jones. "A Collection of Loci Using Two Fixed Points." Missouri J. Math. Sci. 19 (2) 141 - 150, May 2007. https://doi.org/10.35834/mjms/1316092493

Information

Published: May 2007
First available in Project Euclid: 15 September 2011

zbMATH: 1158.51302
Digital Object Identifier: 10.35834/mjms/1316092493

Subjects:
Primary: 51N20

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

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Vol.19 • No. 2 • May 2007
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