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

• Autorzy: Boris A. Shminke
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2012
• Tom: 20
• Numer: 2
• Strony: 157-159

Daty

wydano

2012-12-01

online

2013-02-02

Twórcy

autor

Boris A. Shminke

• Shakhtyorskaya 2, 453850 Meleuz, Russia

Bibliografia

• [1] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.
• [2] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
• [3] Akihiro Kubo. Lines in n-dimensional Euclidean spaces. Formalized Mathematics, 11(4):371-376, 2003.
• [4] Akihiro Kubo and Yatsuka Nakamura. Angle and triangle in Euclidian topological space. Formalized Mathematics, 11(3):281-287, 2003.
• [5] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
• [6] Marco Riccardi. Heron’s formula and Ptolemy’s theorem. Formalized Mathematics, 16(2):97-101, 2008, doi:10.2478/v10037-008-0014-2.[Crossref]
• [7] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
• [8] Freek Wiedijk. Formalizing 100 theorems. http://www.cs.ru.nl/~freek/100/.
• [9] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.

Identyfikatory

DOI

10.2478/v10037-012-0018-9