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Maximum Radius of an Ellipse

IP.com Disclosure Number: IPCOM000061182D
Original Publication Date: 1986-Jul-01
Included in the Prior Art Database: 2005-Mar-09
Document File: 1 page(s) / 11K

Publishing Venue

IBM

Related People

Niblett, PD: AUTHOR

Abstract

This article describes a technique for finding the maximal radial distance attained when traversing a full ellipse. This is of use for a device wishing to approximate to that ellipse with a number of straight line segments; the maximum radial distance (or semi-major axis length) can be used to determine the number of line segments to use in the approximation. (Image Omitted) Finding The Eigenvalues The numbers 11 and 12 are often referred to as eigenvalues. They are obtained by solving the quadratic equation (Image Omitted)

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Maximum Radius of an Ellipse

This article describes a technique for finding the maximal radial distance attained when traversing a full ellipse. This is of use for a device wishing to approximate to that ellipse with a number of straight line segments; the maximum radial distance (or semi-major axis length) can be used to determine the number of line segments to use in the approximation.

(Image Omitted)

Finding The Eigenvalues The numbers 11 and 12 are often referred to as eigenvalues. They are obtained by solving the quadratic equation

(Image Omitted)

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