Brunelleschi’s lost panel still defines how we draw depth
Linear perspective shrinks distant things and foreshortens forms along the line of sight. Around 1415–1420 Filippo Brunelleschi reportedly proved it with a peephole view of Florence’s Baptistery—yet his panel is lost, he left no known perspective paintings, and even Renaissance masters often botched the geometry.
Perspective (from Latin perspicere, "to see through") approximates how the eye sees a three-dimensional scene on a flat surface: move an object N times farther and it looks about N times smaller. Linear perspective adds foreshortening and vanishing points along, above, or below the horizon. Earlier art often sized figures by spiritual rank—Egyptian "vertical perspective"—or used overlapping and oblique foreshortening, as on Greek red-figure pottery. Greek skenographia for stage illusion, discussed in Aristotle's Poetics, and geometric work by Anaxagoras and Democritus pushed systematic depth; Euclid's Optics (c. 300 BC) noted perceived size is not a simple distance proportion. Chinese painters used oblique projection from the first or second century into the eighteenth; Torii Kiyonaga's ukiyo-e shows related Japanese practice. Medieval Europe, like Islamic and Chinese traditions, knew distance scaling but freely overrode it; Ambrogio Lorenzetti's Presentation at the Temple (1342) converges floor lines while the rest stays inconsistent.
Accounts by Vasari and Antonio Manetti say Brunelleschi, about 1420, had viewers peek through a hole in a painting of the Florence Baptistery, then lift a mirror to compare painting and building. He applied the system to paintings around 1425. Doubts remain: the panel is lost, no other Brunelleschi perspective drawings survive, Manetti never says "experiment," and described viewing angles clash. Still, Florentine artists quickly adopted geometric depth—Donatello, Masaccio, Ghiberti, Uccello, and others. Masaccio's Holy Trinity (c. 1427) sets the vanishing point at eye level; The Tribute Money places it behind Jesus's face. Material checks show most fifteenth-century works, including Masaccio's Trinity and even Leonardo, contain serious geometric errors; Piero della Francesca is the model of accuracy.
Brunelleschi likely understood the math with Toscanelli's help but did not publish it. Leon Battista Alberti's De pictura (c. 1435) explained planar projections and similar triangles rooted in Euclid and Alhazen's Book of Optics (Latin c. 1200). Piero's De Prospectiva pingendi in the 1470s treated solids anywhere on the plane and illustrated Platonic solids in perspective. Luca Pacioli's 1509 Divina proportione, illustrated by Leonardo, summarized the craft; Albrecht Dürer demonstrated two-point perspective by 1525 in Unterweisung der Messung. Architect Bertrand Goldberg's c. 1960 marker sketch of The Pineda Club still speaks that Renaissance grammar of depth.
Source: Perspective (graphical)
