While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists.

Leon Battista Alberti (1404¬–1472) was a highly prolific polymath of the fifteenth century. Although his contributions to architecture and the visual arts are well known and available in good English editions, as are many of his literary and social writings, his mathematical works are not well represented. This present volume was planned to fill that gap, with entirely new English translations and critical commentaries making the works easily accessible for a wide readership of specialists and non-specialists alike. Four texts are included here. Although Alberti’s Commentarii rerum mathematicarum appears to be lost, we have his Ludi matematici . In these “games” Alberti describes twenty practical applications of mathematics in an accessible style. The translation is accompanied by a new transcript of the recently identified manuscript held in the National Library in Florence upon which it was based. In Elementi di pittura, Alberti provides a catalogue of definitions and geometric constructions, using Euclidean references but drawing a distinction between theoria of mathematical entities and praxis of painterly applications. Alberti’s most original mathematical contribution is a late work, De compendis cifris, first discussing the frequency of vowels, consonants, and different groupings in Latin, and then introducing a method of polyalphabetic substitution. Even more original is his enciphered code which permutes four numerals in two-, three-, and four-digit groups. De lunularum quadratura rehearses the classical demonstration of squaring a lune by Hippocrates.

A collection of Alberti’s four mathematical treatises, intended to capture Alberti’s unique combination of formal and informal writing, will be available for the first time to an English-speaking readership Commentary with illustrations sets Alberti’s mathematical works in their proper historical and cultural context, as well as collocate them within the entire range of Alberti’s architectural and literary works Includes supplementary material: sn.pub/extras

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