Едно твърдение за конкурентност на педални окръжности на точка в равнината на четириъгълник
A Statement for Concurrence of Pedal Circles of a Point in the Plane of a Quadrilateral
Author(s): Haim HaimovSubject(s): Social Sciences, Education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion, Sociology of Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: quadrilateral; pedalcircles; transformations; remarkablepoints
Summary/Abstract: It is proved in the present paper that the pedal circles of an arbitrary point in the plane of a quadrilateral, determined by its sides and diagonals, are concurrent. With the help of this statement a transformation is defined in the plane of an arbitrary quadrilateral. The images of some notable points in the quadrilateral are found. The connection of this transformation with other transformations in the plane of the quadrilateral are described.
Journal: Математика и информатика
- Issue Year: 62/2019
- Issue No: 1
- Page Range: 77-90
- Page Count: 14
- Language: Bulgarian
- Content File-PDF