Generalisation of an IMO Geometry Problem
Dina Kamber Hamzi\'c, L\'aszl\'o N\'emeth, Zenan \v{S}abanac
TL;DR
This paper extends a classic IMO geometry problem using analytic geometry techniques, providing a broader understanding and new insights into the problem's structure.
Contribution
It introduces a novel generalisation of the IMO problem through analytic geometry, expanding its applicability and understanding.
Findings
New geometric relations derived from the generalisation
Broader class of problems solvable with the approach
Enhanced understanding of the original IMO problem
Abstract
In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.
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Taxonomy
TopicsComputational Geometry and Mesh Generation