Inscribed polygons and Heron polynomials
Journal Article
·
· Sbornik. Mathematics
- Moscow State Institute of Radio Engineering, Electronics and Automatics (Technical University), Moscow (Russian Federation)
Heron's well-known formula expressing the area of a triangle in terms of the lengths of its sides is generalized in the following sense to polygons inscribed in a circle: it is proved that the area is an algebraic function of the lengths of the edges of the polygon. Similar results are proved for the diagonals and the radius of the circumscribed circle. The resulting algebraic equations are studied and elementary geometric applications of the algebraic results obtained are presented.
- OSTI ID:
- 21208303
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 194; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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