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Displaying similar documents to “An arrangement of pseudocircles not realizable with circles.”

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

Boris A. Shminke (2012)

Formalized Mathematics

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The goal of this article is to formalize Ceva’s theorem that is in the [8] on the web. Alongside with it formalizations of Routh’s, Menelaus’ and generalized form of Ceva’s theorem itself are provided.

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