Euler’s inequality for the circumradius and inradius of a triangle
Shirali, Shailesh (2020) Euler’s inequality for the circumradius and inradius of a triangle. At Right Angles (6). pp. 58-62. ISSN 2582-1873
|
Text
- Published Version
Download (341kB) | Preview |
Abstract
For any arbitrary triangle ABC, let R denote its circumradius and r its inradius (Figure 1). It was the Swiss-German mathematician Leonhard Euler who first observed that regardless of the shape of the triangle, the following inequality is invariably true:
Item Type: | Articles in APF Magazines | ||
---|---|---|---|
Authors: | Shirali, Shailesh | ||
Document Language: |
|
||
Uncontrolled Keywords: | Euler, Inequality, Circumcircle, Circumradius, Incircle, Inradius | ||
Subjects: | Natural Sciences > Mathematics | ||
Divisions: | Azim Premji University - Bengaluru > University Publications > At Right Angles | ||
Full Text Status: | Public | ||
URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/2318 | ||
Publisher URL: |
Actions (login required)
![]() |
View Item |