On the Connection between the Inscribed and Escribed Circles of a Triangle

Autor:	H. B. Billups
Rok vydání:	1898
Předmět:	Combinatorics General Mathematics Philosophy Inscribed figure Connection (mathematics)
Zdroj:	The Mathematical Gazette. 1:177-180
ISSN:	2056-6328 0025-5572
Popis:	The chief object of this paper is to investigate a method of obtaining from any proposition connected with the inscribed circle of a plane triangle a corresponding proposition connected with one of the escribed circles of a plane triangle.If we let a, b, c represent three lengths and A, B, C three angles, with the following limitations:I. All six quantities must be positive,II. A + B + C = π,III. we can regard a, b, c, A, B, C as the sides and angles of a plane triangle, and then by the methods of Algebra and Trigonometry we can deduce a number of algebraical and trigonometrical relations connecting them.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbc9b9561d81e03ba26293b1bd3460a3 https://doi.org/10.2307/3604680 Zobrazit plný text záznamu