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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.
Answer ellipsis (= answer fragments) is a type of ellipsis that occurs in answers to questions. Answer ellipsis appears very frequently in any dialogue, and it is present in probably all languages. Of the types of ellipsis mechanisms, answer fragments behave most like sluicing, a point that shall be illustrated below.
When text is omitted following a sentence, a period (full stop) terminates the sentence, and a subsequent ellipsis indicates one or more omitted sentences before continuing a longer quotation. Business Insider magazine suggests this style [8] and it is also used in many academic journals. The Associated Press Stylebook favors this approach. [9]
The following examples illustrate nominal ellipsis with cardinal and ordinal numbers: Fred did three onerous tasks because Susan had done two onerous tasks. The first train and the second train have arrived. The following two sentences illustrate nominal ellipsis with possessive determiners: I heard Mary's dog, and you heard Bill's dog.
In rhetoric, zeugma (/ ˈ zj uː ɡ m ə / ⓘ; from the Ancient Greek ζεῦγμα, zeûgma, lit. "a yoking together" [1]) and syllepsis (/ s ɪ ˈ l ɛ p s ɪ s /; from the Ancient Greek σύλληψις, súllēpsis, lit. "a taking together" [2]) are figures of speech in which a single phrase or word joins different parts of a sentence.
The second example pairs a gerund with a regular noun. Parallelism can be achieved by converting both terms to gerunds or to infinitives. The final phrase of the third example does not include a definite location, such as "across the yard" or "over the fence"; rewriting to add one completes the sentence's parallelism.
The first example is ungrammatical because the island prevents us from moving anything out of the subject constituent. [clarification needed] The second example is saved through sluicing as the island is sluiced and the meaning can be inferred from the context of the sentence, therefore maintaining the meaning and remaining grammatical.
The evolute of a curve (in this case, an ellipse) is the envelope of its normals. In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve.