THE ESSENCE OF HOMOTHETIC TRANSFORMATION METHOD

The homothetic transformation method represents a powerful geometric technique for solving construction problems in mathematics. This approach involves identifying the shape of a required figure before determining its size, effectively using dilations and contractions around a fixed point to transform reference figures into desired solutions. This paper examines the theoretical foundations, implementation methodology, and practical applications of homothetic transformations in geometric constructions.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-27
DOI
https://doi.org/10.5281/zenodo.15291984
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

THE ESSENCE OF HOMOTHETIC TRANSFORMATION METHOD

Zenodo (CERN European Organization for Nuclear Research)
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

THE ESSENCE OF HOMOTHETIC TRANSFORMATION METHOD

article en

Abstract

The homothetic transformation method represents a powerful geometric technique for solving construction problems in mathematics. This approach involves identifying the shape of a required figure before determining its size, effectively using dilations and contractions around a fixed point to transform reference figures into desired solutions. This paper examines the theoretical foundations, implementation methodology, and practical applications of homothetic transformations in geometric constructions.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Theoretical and Applied Studies in Material Sciences and Geometry
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THE ESSENCE OF HOMOTHETIC TRANSFORMATION METHOD · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS