An unusual proof of the centroid theorem
Venkatasubban, Rajatadri (2019) An unusual proof of the centroid theorem. At Right Angles (5). pp. 3436. ISSN 25821873

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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 vectorbased 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  
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