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In this work, author Michael Weaver revives the relational approach that served as the foundation for ancient Geometry. Analogical Geometry — Book One: A Language of Relations returns to the roots of this classical discipline.
Once one removes all references to units and calculations, Geometry reveals itself to be a system of relationships held relative to geometric space. Under the analogical approach,geometric space is modeled as a plenum of pure potential — a perspective aligned with the original worldview of Platonists such as Euclid.