Visual Culture And Mathematics In The Early Modern Period

During the early modern period there was a natural correspondence between how artists might benefit from the knowledge of mathematics and how mathematicians might explore, through advances in the study of visual culture, new areas of enquiry that would uncover the mysteries of the visible world. This volume makes its contribution by offering new interdisciplinary approaches that not only investigate perspective but also examine how mathematics enriched aesthetic theory and the human mind. The contributors explore the portrayal of mathematical activity and mathematicians as well as their ideas and instruments, how artists displayed their mathematical skills and the choices visual artists made between geometry and arithmetic, as well as Euclid’s impact on drawing, artistic practice and theory. These chapters cover a broad geographical area that includes Italy, Switzerland, Germany, the Netherlands, France and England. The artists, philosophers and mathematicians whose work is discussed include Leon Battista Alberti, Nicholas Cusanus, Marsilio Ficino, Francesco di Giorgio, Leonardo da Vinci and Andrea del Verrocchio, as well as Michelangelo, Galileo, Piero della Francesca, Girard Desargues, William Hogarth, Albrecht Dürer, Luca Pacioli and Raphael.

Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.

This book draws attention to the pervasive artistic rivalry between Elizabethan poetry and gardens in order to illustrate the benefits of a trans-media approach to the literary culture of the period. In its blending of textual studies with discussions of specific historical patches of earth, The Poem and the Garden demonstrates how the fashions that drove poetic invention were as likely to be influenced by a popular print convention or a particular garden experience as they were by the formal genres of the classical poets. By moving beyond a strictly verbal approach in its analysis of creative imitation, this volume offers new ways of appreciating the kinds of comparative and competitive methods that shaped early modern poetics. Noting shared patterns—both conceptual and material—in these two areas not only helps explain the persistence of botanical metaphors in sixteenth-century books of poetry but also offers a new perspective on the types of contrastive illusions that distinguish the Elizabethan aesthetic. With its interdisciplinary approach, The Poem and the Garden is of interest to all students and scholars who study early modern poetics, book history, and garden studies.

The development of a coherent, cohesive visual system of mathematics brought about a seminal shift in approaches towards abstract thinking in western Europe. Vernacular translations of Euclid’s Elements made these new and developing approaches available to a far broader readership than had previously been possible. Scholarship has explored the way that the language of mathematics leaked into the literary cultures of England and the Low Countries, but until now the role of visual metaphors of making and shaping in the establishment of mathematics as a practical tool has gone unexplored. Mathematics and the Craft of Thought sheds light on the remarkable culture shift surrounding the vernacular language translations of Euclid, and the geometrical imaginary that they sought to create. It shows how the visual language of early modern European geometry was constructed by borrowing and quoting from contemporary visual culture. The verbal and visual language of this form of mathematics, far from being simply immaterial, was designed to tantalize with material connotations. This book argues that, in a very real sense, practical geometry in this period was built out of craft metaphors.

This collection of essays, commissioned in honour of Andrew Pettegree, presents original contributions on the Reformation, communication and the book in early modern Europe. Together, the essays reflect on Pettegree’s ground-breaking influence on these fields, and offer a comprehensive survey of the state of current scholarship.

A unique Smithsonian coloring book featuring the letters of the alphabet from rare illuminated books and manuscripts Abecedarium offers artists of all ages the chance to color the pages of history: it includes two black and white versions of each alphabetical letter for readers to personalize. These letters are drawn from rare illuminated books and manuscripts of science and art of the fifteenth through the twentieth centuries. Accompanying each letter is the story of its rare book source, its artist, and its historical context. Part history, part coloring book, and part guide to selected historic books, Abecedarium is a contemplative and inspiring way to experience art, science, and culture from the Renaissance through early modern times.

Ingenuity in the Making explores the myriad ways in which ingenuity shaped the experience and conceptualization of materials and their manipulation in early modern Europe. Contributions range widely across the arts and sciences, examining objects and texts, professions and performances, concepts and practices. The book considers subjects such as spirited matter, the conceits of nature, and crafty devices, investigating the ways in which ingenuity acted in and upon the material world through skill and technique. Contributors ask how ingenuity informed the “maker’s knowledge” tradition, where the perilous borderline between the genius of invention and disingenuous fraud was drawn, charting the ambitions of material ingenuity in a rapidly globalizing world.

This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.