Формули за разстоянията от брокарианите и точката на Микел в четириъгълника до върховете и до средите на страните и диагоналите му
Formulas for the Distances from the Brocardians and the Miquel Point in a Quadrilateral to Its Vertices and the Midpo
Author(s): Veselin Nenkov, Stanislav Stefanov, Haim HaimovSubject(s): Social Sciences, Education, School education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: quadrilateral; notable points; inequalities; centroid; Euler circle
Summary/Abstract: Formulas are derived and presented for the distances to the vertices and the midpoints of the sides and diagonals of a quadrilateral from three of its notable points. They are used to prove some inequalities in the quadrilateral, connecting the lengths of its sides and diagonals. An interesting property of the centroid of a quadrilateral inscribed in a circle has been found too.
Journal: Математика и информатика
- Issue Year: 62/2019
- Issue No: 3
- Page Range: 305-324
- Page Count: 21
- Language: Bulgarian
- Content File-PDF