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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1981-2017
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2014
2014
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
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
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
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
  • 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
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
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
Die Leistungen von Clairaut und d'Alembert ffir die Theorie des Femrohrobjektivs und die franz6sischen Wettbewerbsversuche gegen… (More)
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2003
2003
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
in the numerical integration ofa differential equation, a standard technique is to replace it by a suitable difference equation… (More)
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