An Extension of Pythagoras Theorem
Mircea Gotea
TL;DR
This paper extends the Pythagoras theorem to polygons inscribed in a semicircle, establishing a new formula relating sides and diagonals when one side is a diameter.
Contribution
It introduces a novel Pythagoras-type formula for polygons inscribed in a semicircle with a diameter side, expanding classical geometric theorems.
Findings
Derived a new geometric formula for polygons in a semicircle
Generalized Pythagoras theorem to polygonal cases
Provides a mathematical basis for further geometric explorations
Abstract
This article proves a Pythagoras-type formula for the sides and diagonals of a polygon inscribed in a semicircle having one of the sides of the polygon as diameter.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Mathematics Education and Teaching Techniques