An unusual proof of the centroid theorem
Venkatasubban, Rajatadri (2019) An unusual proof of the centroid theorem. At Right Angles (5). pp. 34-36. ISSN 2582-1873
|
Text
- Published Version
Download (233kB) | Preview |
Abstract
In this article, I present an unusual proof of the Centroid Theorem. (The theorem states: For any triangle, the three medians meet in a point. Moreover, the common point of intersection is a point of trisection of each median.) The standard methods (see [3], pg 65 for a much shorter proof that uses the same base results as this one, or [1], pg 7 for one that uses Ceva’s theorem) require nothing but elementary geometry. Another vector-based approach (see [2], pg 19) also exists. This one, however, makes use of an infinite geometric progression to achieve its result.
Item Type: | Articles in APF Magazines | ||
---|---|---|---|
Authors: | Venkatasubban, Rajatadri | ||
Document Language: |
|
||
Uncontrolled Keywords: | Median, centroid theorem, Ceva’s theorem, vector, infinite geometric series | ||
Subjects: | Natural Sciences > Mathematics | ||
Divisions: | Azim Premji University > University Publications > At Right Angles | ||
Full Text Status: | Public | ||
URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/2132 | ||
Publisher URL: |
Actions (login required)
![]() |
View Item |
Altmetric
["Plugin/Screen/EPrint/Box/Plumx:title" not defined]
CORE (COnnecting REpositories)