On The Divine Proportion: de Divina Proportione Paperback – May 22, 2025

On The Divine Proportion is the First English Translation of Luca Pacioli's 1498 treatise de Divina Proportione (φ).This seminal work of Renaissance mathematics and art by Luca Pacioli is now available in English for the first time. Originally presented in 1498 and then published in 1509, this masterpiece explores the profound significance of the golden ratio (φ) and the Platonic regular solids: mathematical principles that govern harmony, beauty, and proportion in nature, architecture, and the fine arts.Pacioli, a Franciscan friar and renowned mathematician, was a close friend and collaborator of Leonardo da Vinci, whose stunning illustrations of variations on the regular solids accompany the text. Together, they delved into the Euclidian geometric foundations of aesthetics and religious metaphysics, offering insights that have influenced generations of artists, architects, and thinkers.This English translation brings Pacioli's visionary work to modern readers, preserving its historical richness while making its timeless ideas accessible. This edition will prove valuable for geometers, artists, historians, philosophers, and anyone fascinated by the intersection of numbers and beauty.“Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio (φ). The first we may compare to a measure of gold, the second we may name a precious jewel.”--Johannes Kepler Read more