Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Cotes's_spiral> ?p ?o. }
Showing items 1 to 23 of
23
with 100 items per page.
- Cotes's_spiral abstract "In physics and in the mathematics of plane curves, Cotes's spiral (also written Cotes' spiral and Cotes spiral) is a spiral that is typically written in one of three formswhere r and θ are the radius and azimuthal angle in a polar coordinate system, respectively, and A, k and ε are arbitrary real number constants. These spirals are named after Roger Cotes. The first form corresponds to an epispiral, and the second to one of Poinsot's spirals; the third form corresponds to a hyperbolic spiral, also known as a reciprocal spiral, which is sometimes not counted as a Cotes's spiral.The significance of Cotes's spirals for physics is in the field of classical mechanics. These spirals are the solutions for the motion of a particle moving under a inverse-cube central force, e.g., where μ is any real number constant. A central force is one that depends only on the distance r between the moving particle and a point fixed in space, the center. In this case, the constant k of the spiral can be determined from μ and the areal velocity of the particle h by the formulawhen μ < h 2 (cosine form of the spiral) and when μ > h 2 (hyperbolic cosine form of the spiral). When μ = h 2 exactly, the particle follows the third form of the spiral".
- Cotes's_spiral wikiPageID "18683059".
- Cotes's_spiral wikiPageRevisionID "585443199".
- Cotes's_spiral hasPhotoCollection Cotes's_spiral.
- Cotes's_spiral id "CotesSpiral".
- Cotes's_spiral name "Cotes' Spiral".
- Cotes's_spiral subject Category:Classical_mechanics.
- Cotes's_spiral subject Category:Spirals.
- Cotes's_spiral type Abstraction100002137.
- Cotes's_spiral type Attribute100024264.
- Cotes's_spiral type Curve113867641.
- Cotes's_spiral type Line113863771.
- Cotes's_spiral type Shape100027807.
- Cotes's_spiral type Spiral113876371.
- Cotes's_spiral type Spirals.
- Cotes's_spiral comment "In physics and in the mathematics of plane curves, Cotes's spiral (also written Cotes' spiral and Cotes spiral) is a spiral that is typically written in one of three formswhere r and θ are the radius and azimuthal angle in a polar coordinate system, respectively, and A, k and ε are arbitrary real number constants. These spirals are named after Roger Cotes.".
- Cotes's_spiral label "Cotes's spiral".
- Cotes's_spiral sameAs m.04ghv_b.
- Cotes's_spiral sameAs Q5175339.
- Cotes's_spiral sameAs Q5175339.
- Cotes's_spiral sameAs Cotes's_spiral.
- Cotes's_spiral wasDerivedFrom Cotes's_spiral?oldid=585443199.
- Cotes's_spiral isPrimaryTopicOf Cotes's_spiral.