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Generalized Calabi Triangle Problem

Author:

Turanyanin, Dragan N.

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

March 13, 2026

File:

/Research Papers-Mathematics and Applied Mathematics/Download/10485

Downloads:

Keywords:

N/A

Abstract:

The classical Calabi triangle problem identifies a unique non-equilateral isosceles triangle in which a square inscribed on the base and two equal squares inscribed on the slanted sides have equal areas. Here, we present a systematic generalization of this problem by introducing additional symmetric square configurations, deriving analytic relations among their areas, and exploring conditions of equality.

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