Two Strange Constructions in the Euclidean Plane
Volker Th\"urey
TL;DR
This paper introduces two novel geometric constructions involving projections in elementary Euclidean geometry, providing simple proofs within the realm of Grecian Geometry.
Contribution
It presents two new propositions about projections in the Euclidean plane, with proofs based solely on elementary analytical knowledge.
Findings
Two new geometric constructions involving projections
Elementary proofs within Grecian Geometry
Clarification of properties of projections in R^2
Abstract
We present two new constructions in the usual euclidean plane. We only deal with 'Grecian Geometry', with this phrase we mean elementary geometry in the two-dimensional space R 2 . We describe and prove two propositions about 'projections'. The proofs need only elementary analytical knowledge.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Mathematical Theories