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



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.

Anahtar Kelimeler

Cassini Ovals; Multi Foci Curves

Tam Metin:

PDF (English)


İndekslendiği Kaynaklar


Listeleyen Diğer Kaynaklar ve Servisler



Creative Commons Lisansı
Doğuş Üniversitesi Dergisi'nin içeriği Creative Commons Atıf-Gayriticari 4.0 Uluslararası Lisansı ile lisanslanmıştır.


Doğuş Üniversitesi Dergisi
Bahçelievler, Bosna Blv No: 140, 34680 Üsküdar/İstanbul
E-posta: journal@dogus.edu.tr