Record Details

Equipartitioning and balancing points of polygons

Pythagoras


 
 
Field Value
 
Title Equipartitioning and balancing points of polygons
 
Creator Pillay, Shunmugam; School of Mathematical Sciences, University of KwaZulu‐Natal Pillay, Poobhalan; School of Mathematical Sciences, University of KwaZulu‐Natal
 
Subject — —
Description The centre of mass G of a triangle has the property that the rays to the vertices from G sweep out triangles having equal areas. We show that such points, termed equipartitioning points in this paper, need not exist in other polygons. A necessary and sufficient condition for a quadrilateral to have an equipartitioning point is that one of its diagonals bisects the other. The general theorem, namely, necessary and sufficient conditions for equipartitioning points for arbitrary polygons to exist, is also stated and proved. When this happens, they are in general, distinct from the centre of mass. In parallelograms, and only in them, do the two points coincide.
 
Publisher AOSIS Publishing
 
Contributor
Date 2010-07-04
 
Type — —
Format application/pdf
Identifier 10.4102/pythagoras.v0i71.2
 
Source Pythagoras; Issue 71 (2010); 13-21
 
Language en
 
Coverage — — —
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