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What topics does Piero della Francesca explain in De prospectiva pingendi?
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Piero della Francesca
The Flagellation of Christ, tempera on wood panel by Piero della Francesca, late 1450s; in the National Gallery of the Marches, Urbino, Italy.
In his treatise De prospectiva pingendi ("On Perspective in Painting"), written between 1474 and 1482, Piero della Francesca explores a range of topics centered on the mathematical and geometric foundations of art.
The book is organized to address:
- Geometric problems: The text provides a rigorous exploration of geometric principles essential for constructing space on a two-dimensional surface.1
- Proportional problems: Following the influence of Euclid, the work examines the mathematical relationships and proportions necessary for achieving harmony in composition.1
- Perspectival problems: The treatise details the methods for rendering perspective persuasively, building upon the foundational theories established by Leon Battista Alberti.21
Piero illustrated the manuscript himself with diagrams to demonstrate these complex concepts, reflecting the same logic and rigor found in his paintings.1