A_Deeper_Analysis_on_the_Perpendicular_Distance_Determinant.pdf

This research extends the application of the Perpendicular Distance Determinant (PDD) in triangle geometry. It includes a detailed analysis of altitude positions in various triangle types and culminates in a proposed axiom regarding the interdependence of triangle side lengths and altitude placement.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28814960.v1
Primary Topic
Historical Geography and Cartography
Type
article
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A_Deeper_Analysis_on_the_Perpendicular_Distance_Determinant.pdf

Figshare
Historical Geography and Cartography
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A_Deeper_Analysis_on_the_Perpendicular_Distance_Determinant.pdf

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Abstract

This research extends the application of the Perpendicular Distance Determinant (PDD) in triangle geometry. It includes a detailed analysis of altitude positions in various triangle types and culminates in a proposed axiom regarding the interdependence of triangle side lengths and altitude placement.

Figshare
Openalex Percentile: Top 49%
Historical Geography and Cartography
DOIOpen Access PDFOpenAlex
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A_Deeper_Analysis_on_the_Perpendicular_Distance_Determinant.pdf · Figshare (2025) | TGRS Research Map | TGRS