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An ellipse (red) obtained as the intersection of a cone with an inclined plane. Ellipse: notations Ellipses: examples with increasing eccentricity. In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
In legal writing in the United States, Rule 5.3 in the Bluebook citation guide governs the use of ellipses and requires a space before the first dot and between the two subsequent dots. If an ellipsis ends the sentence, then there are three dots, each separated by a space, followed by the final punctuation (e.g. Hah . . . ?).
Verb phrase ellipsis (also VP-ellipsis or VPE) is a particularly frequent form of ellipsis in English. VP-ellipsis elides a non-finite VP. The ellipsis must be introduced by an auxiliary verb or by the particle to. John can play the guitar; Mary can play the guitar, too. He has done it before, which means he will do it again. An aspect of VP ...
In more recent years, computer programs have been used to find and calculate more precise approximations of the perimeter of an ellipse. In an online video about the perimeter of an ellipse, recreational mathematician and YouTuber Matt Parker, using a computer program, calculated numerous approximations for the perimeter of an ellipse. [4]
For example, on a triaxial ellipsoid, the meridional eccentricity is that of the ellipse formed by a section containing both the longest and the shortest axes (one of which will be the polar axis), and the equatorial eccentricity is the eccentricity of the ellipse formed by a section through the centre, perpendicular to the polar axis (i.e. in ...
Examples of superellipses for =, =. A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows for various shapes between a rectangle and an ellipse.
Ellipsis is the narrative device of omitting a portion of the sequence of events, allowing the reader to fill in the narrative gaps. Aside from its literary use, the ellipsis has a counterpart in film production. It is there to suggest an action by simply showing what happens before and after what is observed.
As seen in the examples above, VP ellipsis can be used to avoid redundancy in language. For example, "I like Linda's cookies, and Rebecca does too" is a much more concise sentence than "I like Linda's cookies, and Rebecca likes Linda's cookies too." VP ellipsis acts as a mechanism of grammatical reduction and contributes to clarity in language ...