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- Hyperbolic_spiral abstract "A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. A hyperbolic spiral is the opposite of an Archimedean spiral and are a type of Cotes' spiral.It has the pol equation: It begins at an infinite distance from the pole in the centre (for θ starting from zero r = a/θ starts from infinity), and it winds faster and faster around as it approaches the pole; the distance from any point to the pole, following the curve, is infinite. Applying the transformation from the polar coordinate system:leads to the following parametric representation in Cartesian coordinates: where the parameter t is an equivalent of the polar coordinate θ.The spiral has an asymptote at y = a: for t approaching zero the ordinate approaches a, while the abscissa grows to infinity:It was Pierre Varignon who studied the curve as first, in 1704. Later Johann Bernoulli and Roger Cotes worked on the curve.".
- Hyperbolic_spiral thumbnail Hyperspiral.svg?width=300.
- Hyperbolic_spiral wikiPageExternalLink Hyperbolic_spiral.
- Hyperbolic_spiral wikiPageID "183045".
- Hyperbolic_spiral wikiPageRevisionID "604074298".
- Hyperbolic_spiral hasPhotoCollection Hyperbolic_spiral.
- Hyperbolic_spiral subject Category:Spirals.
- Hyperbolic_spiral type Abstraction100002137.
- Hyperbolic_spiral type Attribute100024264.
- Hyperbolic_spiral type Curve113867641.
- Hyperbolic_spiral type Line113863771.
- Hyperbolic_spiral type Shape100027807.
- Hyperbolic_spiral type Spiral113876371.
- Hyperbolic_spiral type Spirals.
- Hyperbolic_spiral comment "A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. A hyperbolic spiral is the opposite of an Archimedean spiral and are a type of Cotes' spiral.It has the pol equation: It begins at an infinite distance from the pole in the centre (for θ starting from zero r = a/θ starts from infinity), and it winds faster and faster around as it approaches the pole; the distance from any point to the pole, following the curve, is infinite.".
- Hyperbolic_spiral label "Espiral hiperbólica".
- Hyperbolic_spiral label "Espiral hiperbólica".
- Hyperbolic_spiral label "Hyperbolic spiral".
- Hyperbolic_spiral label "Hyperbolische spiraal".
- Hyperbolic_spiral label "Spirala hiperboliczna".
- Hyperbolic_spiral label "Spirale iperbolica".
- Hyperbolic_spiral label "Гиперболическая спираль".
- Hyperbolic_spiral label "双曲螺线".
- Hyperbolic_spiral sameAs Hyperbolická_spirála.
- Hyperbolic_spiral sameAs Espiral_hiperbólica.
- Hyperbolic_spiral sameAs Spirale_iperbolica.
- Hyperbolic_spiral sameAs Hyperbolische_spiraal.
- Hyperbolic_spiral sameAs Spirala_hiperboliczna.
- Hyperbolic_spiral sameAs Espiral_hiperbólica.
- Hyperbolic_spiral sameAs m.018_p3.
- Hyperbolic_spiral sameAs Q732141.
- Hyperbolic_spiral sameAs Q732141.
- Hyperbolic_spiral sameAs Hyperbolic_spiral.
- Hyperbolic_spiral wasDerivedFrom Hyperbolic_spiral?oldid=604074298.
- Hyperbolic_spiral depiction Hyperspiral.svg.
- Hyperbolic_spiral isPrimaryTopicOf Hyperbolic_spiral.
