FAQ

Clairaut's theorem

Known as: Clairaut, Somigliana equation, Clairault theorem 
Clairaut's theorem is a general mathematical law applying to spheroids of revolution. Published in 1743 by Alexis Claude Clairaut in his Théorie de… (More)
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Topic mentions per year

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1981-2017
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Related topics

2 relations

Broader (1)

Global Positioning System
Reference ellipsoid

Related mentions per year

Related mentions per year

1950-2018
1960198020002020
Clairaut's theorem
Global Positioning System
Reference ellipsoid

Papers overview

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2014
2014
A Generalized Clairaut’s Theorem in Minkowski Space
In Euclidean space, the geodesics on a surface of revolution can be characterized by means of Clairaut’s theorem, which… (More)
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2014
2014
Another Proof of Clairaut's Theorem
This note gives an alternate proof of Clairaut’s theorem—that the partial derivatives of a smooth function commute—using the… (More)
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2013
2013
Clairaut’s Theorem in Minkowski Space
Abstract. We consider some aspects of the geometry of surfaces of revolution in three-dimensional Minkowski space. First, we show… (More)
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2012
2012
Some Geodesics in Open Surfaces Classified by Clairaut's Relation
In this paper, we studied some properties of geodesic on some open surfaces: Hyperboloid, Paraboloid and Funnel Surface. Geodesic… (More)
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2012
2012
Solutions to the ellipsoidal Clairaut constant and the inverse geodetic problem by numerical integration
  • 2012
Wederive computational formulas for determining the Clairaut constant, i.e. the cosine of themaximum latitude of the geodesic arc… (More)
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2011
2011
A note on the first-order theories of equilibrium figures of celestial bodies
One of main problems in celestial mechanics is the determination of the shape of the equilibrium configuration of celestial… (More)
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2007
2007
Closed Geodesics on Certain Surfaces of Revolution
Abstract. Recently I. Mladenov and J. Oprea have investigated a number of surfaces of revolution, and in particular, developed… (More)
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2005
2005
Physikalisch-Technische Mitteilungen
Die Leistungen von Clairaut und d'Alembert ffir die Theorie des Femrohrobjektivs und die franz6sischen Wettbewerbsversuche gegen… (More)
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2003
2003
Analysis of motion of a rotating tube including a material point by Johann Bernoulli, Daniel Bernoulli, Clairaut, d’Alembert and Euler
One of the most attractive problems in 1740s was a motion of a rotating tube around a fixed point and that of a small body… (More)
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1995
1995
Computer Intensive Statistical Methods (J. S. Urban Hjorth)
in the numerical integration ofa differential equation, a standard technique is to replace it by a suitable difference equation… (More)
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