Illustration of ellipse

- F F' foci
- P P' P'' any point on the curve
- FP + PF' = FP'' + P''F' = FP' + P'F'
The Property of an Ellipse
A closed curve consisting of points whose distances from each of two fixed points (foci) all add up to the same value is an ellipse. The midpoint between the foci is the center. One property of an ellipse is that the reflection off its boundary of a line from one focus will pass through the other. As a result, in an elliptical room, a person whispering at one focus is easily heard by someone at the other. An oval may or may not fit the definition of an ellipse.
Greek elleipsis
circa 1753, in the meaning defined at sense 1a
“Ellipse.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/ellipse. Accessed 19 Jan. 2025.
ellipse
nounThesaurus: All synonyms and antonyms for ellipse
Nglish: Translation of ellipse for Spanish Speakers
Britannica.com: Encyclopedia article about ellipse
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