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- Title
A MULTI FOCI CLOSED CURVE: CASSINI OVAL, ITS PROPERTIES AND APPLICATIONS.
- Authors
KARATAŞ, Mümtaz
- 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.
- Subjects
CASSINI, Giovanni Domenico, 1625-1712; OVALS; PLANE curves; ELLIPSES (Geometry); ANALYTIC geometry
- Publication
Dogus University Journal / Doğuş Üniversitesi Dergisi, 2013, Vol 14, Issue 2, p231
- ISSN
1302-6739
- Publication type
Article