A Multi Foci Closed Curve: Cassini Oval, Its Properties and Applications

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Authors
Karataş, Mümtaz
Subjects
Cassini ovals
multi foci curves
Advisors
Date of Issue
2013
Date
2013
Publisher
Language
Abstract
A Cassini oval is a quartic plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points is constant. Its unique properties and miraculous geometrical profile make it a superior tool to utilize in diverse fields for military and commercial purposes and add new dimensions to analytical geometry and other subjects related to mathematics beyond the prevailing concept of ellipse. In this study we explore and derive analytical expressions for the properties of these curves and give a summary of its applications with distinct examples.
Type
Article
Description
URI
https://hdl.handle.net/10945/49290
Series/Report No
Department
Operations Research (OR)
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Scientific and Technological Research Council of Turkey (TUBITAK) (B.02.1.TBT.0.06.01-214-36-109)
Funder
Scientific and Technological Research Council of Turkey (TUBITAK) (B.02.1.TBT.0.06.01-214-36-109)
Format
18 p.
Citation
Karataş, Mümtaz. "A multi foci closed curve: Cassini Oval, its properties and applications." Doğuş Üniversitesi Dergisi, 14 (2) 2013, 231-248 (2013).
Distribution Statement
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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