What is the difference between a parabola and a hyperbola ? (Q912179)
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scientific article; zbMATH DE number 4144167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What is the difference between a parabola and a hyperbola ? |
scientific article; zbMATH DE number 4144167 |
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What is the difference between a parabola and a hyperbola ? (English)
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1988
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An algebraic curve in the projective plane is a polynomial curve (i.e. parametrized by polynomials) iff it has only one point at infinity, e.g. the parabola is a polynomial curve, the hyperbola is not. With elementary methods the author gives an algorithmic criterion for plane algebraic curves to have only one place at a given point of the projective plane.
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polynomial curve
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algorithmic criterion
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