Euclide - De gli Elementi d’Euclide libri quindici - 1619

Framing of the work
Euclid’s Elements constitute the foundational text of classical geometry and one of the pillars of Western scientific education: an organic system of definitions, postulates, propositions and demonstrations that, from the ancient world to the Renaissance and the Seventeenth Century, guided the development of the deductive method and directly influenced architecture, engineering, perspective, fortifications, and the “mathematical” arts. The exemplar presented here belongs to the great tradition of annotated and illustrated Italian editions, designed for study and practical use.

Historical and cultural context of the work
In the early Seventeenth Century Europe lived a phase of intense circulation of technical-scientific knowledge: applied disciplines required solid geometric foundations, and Euclid’s text remained the indispensable reference. In Italy, transmission in the vernacular takes on particular value: it makes accessible highly structured knowledge to students and professionals not necessarily trained in Latin, without renouncing the rigor of the demonstrations.

Content and structure
The work comprises the fifteen books of the Euclidean tradition, with ancient scholia and an apparatus of commentary that accompanies the reading. Books I–VI treat plane geometry (segments, angles, triangles, polygons, parallelism, areas and geometric proportions); books VII–X address number theory and proportions, including the complex matter of incommensurables; books XI–XV are devoted to solid geometry and polyhedra, culminating in the treatment of regular solids. The arrangement of the text is clearly didactic: definitions and propositions with demonstrations, always supported by figures.

The author (translator and commentator)
Federico Commandino (1509–1575), a Urbinate mathematician and humanist, is a central figure in the Renaissance of mathematical studies in the sixteenth century. His activity as translator, reviser and commentator of Greek classics aimed to restore reliable and readable texts, combining philological competence with clarity of exposition. Commandino’s version of the Elements was among the most appreciated for precision and pedagogical sharpness, and its fortune is reflected in the sixteenth-century reprints.

Edition
Pesaro, ad instanza di Gio. Antonio Ingegneri da Fossombrone, 1619 (MDCXIX), with dedication to Don Federico Feltrio della Rovere, Prince of Urbino. This is the second Commandinian edition in the vernacular: a high-profile reprint, expression of the Italian scientific culture of the early Seventeenth Century and of the constant demand for authoritative geometric handbooks.

Bibliographic description
Author: Euclid.
Title: De gli Elementi d’Euclide libri quindici. Con gli scholii antichi… volgarizzati… e con commentarij illustrati.
Place of publication: Pesaro.
Printer/Publisher: Flaminio Concordia.
Year: 1619.
Format: folio / 2°.
Language: Italian.
Collation: 8 prelim. pp. + 278 numbered pp.
Copy: complete in all respects except for the blank preliminary and the blank final leaves.

Frontispiece and iconographic apparatus
Frontispiece in a fine typographic frame, with the heraldic shield of the dedicatee supported by two putti and complete typographic notes. The illustrative apparatus is of exceptional utility: geometric figures on almost every page, with diagrams of plane geometry (circles, triangles, polygons, angles, Proportions) and solid geometry (constructions and schemes of solids). The constant presence of the figures makes the reading smooth and “operational,” as demanded by the best tradition of modern-age mathematical texts.

Binding
Eighteenth-nineteenth-century binding in blue, with a half-leather back decorated with tooling and gold title (“De gli Elementi d’Euclide”). Solid and pleasant, typical of a good-quality service binding of the 19th century.

State of preservation
General condition good. Papers with browning and foxing/oxidation scattered, alternating with cleaner sheets; normal patina of time. Text and figures clear and legible. Margins and folds coherent with use and age; overall exemplar suitable for consultation as well as for a collection.

Collectors’ interest
A notable exemplar for collectors and scholars of the history of mathematics, science and Italian technical-didactic publishing. The second Commandinian edition in the vernacular combines historical prestige, great usability (thanks to the continuous graphical accompaniment) and strong documentary value on the diffusion of Euclidean geometry in the Seventeenth Century. A sought-after title also for bibliophiles tied to Urbinate and Roveresque culture and, more generally, for those who collect classical scientific works in antique editions.