Dual sides-angles theorems in a cyclic quadrilateral
Abstract
In this paper we consider the quadrilate-ral whose side-lengths are respectively equal to the measures of the angles of a given quadrilateral. If ABCD is a convex quadrilateral, such that AB ∩ CD = {P}, BC ∩ AD = {Q}, we denote the measure, in radians, of the angles ∡DAB, ∡ABC, ∡BCD, ∡CDA, ∡APD, ∡AQB by A, B, C, D, P, Q, respectively.
Fields of Study & Subjects
Mathematics and Applications
Advanced Combinatorial Mathematics
Mathematical Inequalities and Applications
Publication details
- Journal / source
- The Mathematical Gazette
- Pages
- 1–10
- Publication date
- 19 January 2026
- Language
- EN