Plane curves of some geometrical significance and associated differential equations |
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Authors: | Jyoti Das |
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Institution: | (1) ENEA, Via Veglia 10, 00141 Rome, Italy;(2) Department of Mathematics, University of Rome “La Sapienza”, Piazzale Aldo Moro 2, 00185 Rome, Italy;(3) Casaccia Research Centre, ENEA, Via Anguillarese 301, 00123 Rome, Italy |
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Abstract: | Loci of points in the Euclidean plane are determined from prescribed relations of the points with given points, and/or, lines.
The dependence of these relations on parameters lead to the diffrential equations representing the family of loci under concern.
Incidentally most of the diffrential equations thus obtained are nonlinear ordinary diffrential equations. |
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