In 1906, Danish philologist Johan Ludvig Heiberg achieved the impossible: in the library of the Metochion in Constantinople, he recognized washed-away mathematical treatises beneath the lines of an Orthodox prayer book. The manuscript was a palimpsest—a parchment from which the original text had been scraped off to make room for new writing. The works of the great ancient geometer lay beneath a layer of liturgical symbols, waiting for their researcher. However, the physical condition of the manuscript was steadily deteriorating, turning Heiberg's victory into a temporary reprieve. Almost a century later, on October 29, 1998, the codex appeared at the Christie's auction in New York, where it was sold to an anonymous collector for $2 million and, a few months later, placed in the care of the Walters Art Museum in Baltimore. By this time, the biological degradation of the parchment had gone too far: in the basement of the previous owner, the manuscript had suffered from water and mold, which had eaten away the animal collagen, and three pages with Archimedes' text, still accessible to Heiberg in 1908, had simply disappeared from the book. The situation was complicated by later forgeries: after 1929, forged images of the evangelists were painted over the prayer text, blocking access to the original layers. By the time the manuscript was handed over to the museum, biological destruction and the physical loss of pages had rendered some of Heiberg's transcriptions the only evidence of the destroyed fragments.
The transformation of the mathematical codex into a liturgical book was completed on April 13, 1229, almost certainly in Jerusalem, where the manuscript ended up after the sack of Constantinople by the Crusaders in 1204, probably via the Mar Saba monastery. There, medieval scribes physically dismantled the original 10th-century Greek text into individual leaves. Calfskin parchment was too expensive a material to let old texts gather dust; they were cleaned, scraped with a knife, and folded anew. In this rough process, some of the letters disappeared, but the chemical base of the ancient ink, embedded in the skin fibers, refused to yield to the monk's knife. The list of 7 treatises by Archimedes that survived in this codex includes texts not preserved anywhere else in the world. Among them were the "Stomachion," which explores the combinatorics of geometric figures, and the previously completely unknown "Method of Mechanical Theorems." The treatise "On Floating Bodies," with its foundations of hydrostatics, also survived exclusively in this palimpsest. The medieval erasure became a paradoxical act of preservation: the monks destroyed the visible text, but physically saved the parchment from crumbling and perishing in fire. By the early 13th century, the need for paper for worship made Archimedes' mathematical discoveries the material for Eucharistic prayers, forever fusing geometry and liturgy in a single physical object.
In the preface to the treatise "The Method," Archimedes addresses Eratosthenes, and this text reveals the social mechanics of Hellenistic science, where the exchange of ideas happened through personal correspondence. The Greek mathematician reports that he had previously sent certain theorems he formulated to colleagues, deliberately omitting the proofs in the hope that the addressees would find them themselves. In essence, this passage is an exceptionally early and direct source on the significance of authorship and priority in Hellenistic mathematics. The text shows the practice of intellectual dueling: sending a theorem without proof was a challenge, a test of colleagues' intelligence, but it also left a gap for the appropriation of results. The Greek text contains no legal terminology about plagiarism in the modern sense, yet it records a clear awareness of intellectual territory. Archimedes explains to Eratosthenes why he is revealing his working tool at all instead of finished proofs: without this, he could be considered a babbler, and the method itself, he is convinced, will still be useful to mathematics.
"The Method" is more valuable than any scandalous anecdote about scientific theft because it describes the physical modeling of mathematical problems—an approach that anticipates certain ideas of integral calculus. Archimedes explains how to find geometric results through mental weighings of figures, using the law of the lever and the concept of "indivisibles." He imagines geometric figures as physical bodies suspended on invisible scales, balancing areas and volumes against each other. A piece of a parabola is balanced by a triangle, and a cone by a cylinder, which allows calculating the area or volume before a rigorous mathematical proof is constructed. This heuristic approach was a radical step: mechanics, considered an applied discipline, invaded the sacred realm of pure geometry. The mechanical method gave correct answers, but Archimedes clearly separated this tool from the rigorous method of exhaustion, which remained mandatory for formal proof.
At the Walters Art Museum, the manuscript underwent a massive conservation and analysis campaign using modern multispectral technologies. Physicists aimed beams of light of different wavelengths at the damaged parchment—from ultraviolet to infrared—and recorded the reflected signal with highly sensitive cameras. Since the ancient ink had deeply impregnated the skin's collagen fibers back in the 10th century, it absorbed light differently than the later prayer texts and the forged images of the evangelists. Computer processing of the spectral images made it possible to separate the layers from one another and make visible those passages that Heiberg in the early 20th century could only guess at. Light proved to be the only non-destructive scalpel capable of opening the layers of history without physical contact with the fragile medium. The work went on from 1999 to 2008, and in 2011, the manuscript became the centerpiece of the exhibition "Lost and Found: The Secrets of Archimedes."