In Analogical Geometry — Book One: A Language of Relations, author Michael Weaver returns to Geometry's roots to unveil an ancient system that integrated the study of Nature, φύσις, with technical skills, τέχνη. This book serves as an introduction to these ideas along with techniques that were foundational to ancient art and architecture.
Stripping Geometry of calculations and computations allows readers to gain a greater understanding of this time-honored discipline. Over 700 illustrations encourage readers to explore Geometric principles for themselves and at their own pace. All constructions are laid out in a step-by-step manner so that curious readers can follow along using their own choice of compass, straightedge, and stylus.
No previous experience with Geometry is necessary to navigate this book. The beginning of Analogical Geometry - Book One introduces readers to Geometric continua found in Nature, such as time, volume, area, and length. These continuous magnitudes, along with angles, serve as a foundation for further explorations involving both simple and complex constructions.
Later chapters introduce readers to ratios, proportions, and the natural pattern of growth known as the Golden Section. Star polygons serve as a visual introduction to the mathematical concepts of prime numbers and factoring. Analogical Geometry - Book One concludes with chapters devoted to the Pythagorean Theorem, Dynamic Symmetry, and a Geometric explanation of Integral Calculus.