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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.
Use an ellipsis (plural ellipses) if material is omitted in the course of a quotation, unless square brackets are used to gloss the quotation (see § Brackets and parentheses, and the points below). Wikipedia's style for an ellipsis is three unspaced dots (...); do not use the precomposed ellipsis character (…
In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae. The two foci F 1 {\displaystyle F_{1}} and F 2 {\displaystyle F_{2}} are generally taken to be fixed at − a {\displaystyle -a} and + a {\displaystyle +a} , respectively, on the x ...
If an ellipsis ends the sentence, then there are three dots, each separated by a space, followed by the final punctuation (e.g. Hah . . . ?). In some legal writing, an ellipsis is written as three asterisks, *** or * * *, to make it obvious that text has been omitted or to signal that the omitted text extends beyond the end of the paragraph.
In this table, The first cell in each row gives a symbol; The second is a link to the article that details that symbol, using its Unicode standard name or common alias.
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.
An example of a generalized coordinate would be to describe the position of a pendulum using the angle of the pendulum relative to vertical, rather than by the x and y position of the pendulum. Although there may be many possible choices for generalized coordinates for a physical system, they are generally selected to simplify calculations ...
An ellipse is the case in which the weights are equal. A circle is an ellipse with an eccentricity of zero, meaning that the two foci coincide with each other as the centre of the circle. A circle is also a different special case of a Cartesian oval in which one of the weights is zero.