A note on a problem invoving a square in a curvilinear triangle
Hiroshi Okumura
TL;DR
This paper generalizes a geometric problem involving fitting a square within a curvilinear triangle formed by two touching congruent circles and their common tangent, exploring new configurations and solutions.
Contribution
It introduces a generalized version of the classical problem, extending the geometric analysis to broader configurations involving congruent circles and tangents.
Findings
Derived new geometric relations for squares in curvilinear triangles
Extended classical problem to more general circle configurations
Provided solutions or bounds for the placement of squares
Abstract
A problem involving a square in the curvilinear triangle made by two touching congruent circles and their common tangent is generalized.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Theoretical and Applied Studies in Material Sciences and Geometry