Equipartitioning and balancing points of polygons
Pythagoras
| Field | Value | |
| Title | Equipartitioning and balancing points of polygons | |
| Creator | Pillay, Shunmugam Pillay, Poobhalan | |
| 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 | |
| Date | 2010-07-04 | |
| Identifier | 10.4102/pythagoras.v0i71.2 | |
| Source | Pythagoras; Issue 71 (2010); 13-21 2223-7895 1012-2346 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://pythagoras.org.za/index.php/pythagoras/article/view/2/9
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