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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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

- Peter J. McGrath
- The American Mathematical Monthly
- 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

- Wongvisarut Khuangsatung, Pakkinee Chitsakul
- 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

- José A. López Ortí, Manuel Forner Gumbau, Miguel Barreda Rochera
- Int. J. Comput. Math.
- 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

- Marissa Rohr, H. Greinacher, H. Louajri
- Naturwissenschaften
- 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

- R Nakata
- 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

- R. J. Beran
- SIAM Review
- 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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