Routh’s, Menelaus’ and Generalized Ceva’s Theorems

Boris A. Shminke

Displaying similar documents to “Routh’s, Menelaus’ and Generalized Ceva’s Theorems”

Heron's Formula and Ptolemy's Theorem

Marco Riccardi (2008)

Formalized Mathematics

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The goal of this article is to formalize some theorems that are in the [17] on the web. These are elementary theorems included in every handbook of Euclidean geometry and trigonometry: the law of cosines, the Heron's formula, the isosceles triangle theorem, the intersecting chords theorem and the Ptolemy's theorem.MML identifier: EUCLID 6, version: 7.8.09 4.97.1001

The laminary model of the exploded Descartes-plane.

Szalay, I. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

Annales Polonici Mathematici

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.

Carathéodory balls and norm balls in $H_{p, n} = z \in ℂ^{n} : ∥ z ∥_{p} < 1$

Binyamin Schwarz, Uri Srebro (1996)

Banach Center Publications

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It is shown that for n ≥ 2 and p > 2, where p is not an even integer, the only balls in the Carathéodory distance on $H_{p, n} = z \in ℂ^{n} : ∥ z ∥_{p} < 1$ which are balls with respect to the complex $l_{p}$ norm in $ℂ^{n}$ are those centered at the origin.