Analogical Geometry - Book I

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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.

Analogical Geometry - Book One is packed full of practical examples for readers to explore at their own pace. Each construction is carefully laid out, with clearly marked directions, allowing curious readers to follow along using their choice of compass, straightedge, and stylus. No previous exposure to Geometry is needed to navigate this book. Concepts such as geometric space, points, and lines are introduced and explained, which naturally lead to explorations involving angles and figures such as triangles, squares, and rectangles.

After developing an understanding of fundamental shapes, readers are introduced to ratios and proportions, along with the Golden Section. Further chapters explore methods for constructing both regular and star polygons. Analogical Geometry concludes with chapters devoted to the Pythagorean Theorem, Dynamic Symmetry, and a Geometric explanation of Integral Calculus.

Release Date: March 1, 2021

PDF Excerpts

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Analogical Geometry I - Preface Analogical Geometry I - Table of Contents Analogical Geometry I - Introduction Analogical Geometry I - Chapter 1 Analogical Geometry I - Chapter 2 Analogical Geometry I - Appendix III

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