For over a century, one of the most mathematically significant documents in human history has had pages missing pages that went silent sometime between a Danish scholar's visit in 1906 and the manuscript's quiet journey through private hands across Europe. The Archimedes Palimpsest, a 10th-century Greek manuscript containing some of the only surviving copies of Archimedes' mathematical writings, has long been known to be incomplete. Three of its leaves vanished and were considered lost. Now, a CNRS researcher has identified one of those missing pages sitting inside the Musée des Beaux-Arts in Blois, France and it contains fragments of Archimedes' mathematical work that could soon be read again for the first time in centuries, with the help of modern imaging technology.
Get breaking news anytime, anywhere. Download the TOI app now!
What the Archimedes Palimpsest is and why every page matters
To understand why this discovery is a big deal, you need to know what the Archimedes Palimpsest actually is. In the 10th century, a Byzantine scribe copied several works by Archimedes of Syracuse onto parchment animal skin prepared as a writing surface. Those works included treatises on geometry, mechanics, and mathematical reasoning that survive in no other form. Then, in the 13th century, monks scraped and washed the original text away and reused the parchment for a Christian prayer book. This practice, called palimpsesting, was common because parchment was expensive and scarce.
The result was a layered document: a medieval prayer book on top, with faint traces of Archimedes' 10th-century text still visible underneath. The manuscript survived for centuries in Jerusalem and then Constantinople before coming to Western attention. In 1906, Danish philologist Johan Ludvig Heiberg examined it and photographed its pages photographs that are now held at the Royal Danish Library in Copenhagen. Those photographs remain the foundational record of what the manuscript contained. After Heiberg's visit, the manuscript passed into a French private collection, then went largely silent for most of the 20th century.
How three leaves disappeared and where one was found
By the time the Archimedes Palimpsest resurfaced at auction in 1998 and was sold to a private American collector, it was already missing pages. Three leaves documented in Heiberg's 1906 photographs were simply gone. The manuscript's current owner deposited it at the Walters Art Museum in Baltimore, where a major multispectral imaging project in the early 2000s recovered significant Archimedes text and previously unknown ancient fragments but the three missing leaves remained unaccounted for.
The newly published research, led by Victor Gysembergh of the Centre Léon Robin for Research on Ancient Thought (CNRS/Sorbonne University), identifies one of those leaves at the Musée des Beaux-Arts in Blois. By cross-referencing the Blois leaf with Heiberg's century-old photographs, Gysembergh confirmed that it is page 123 of the palimpsest. The study was published on March 6, 2026, in Zeitschrift für Papyrologie und Epigraphik one of the leading international journals for ancient documents and inscriptions.
What the recovered leaf contains and what is still hidden beneath it
The leaf is a double-sided page, and its two sides tell very different stories. One side carries a prayer text laid over geometric diagrams and a section of Archimedes' On the Sphere and the Cylinder , Book I, Propositions 39 to 41. According to the researchers, much of this underlying text is already legible under conventional examination meaning some of the recovered Archimedes content can be read right now.
The other side is more complicated. At some point in the 20th century, someone added an illumination of the Prophet Daniel surrounded by two lions directly onto the parchment. That painting now sits on top of whatever ancient writing lies beneath it, making the text completely inaccessible through standard visual inspection. It is not clear when the illumination was added or by whom, but its presence means a portion of this leaf's content is effectively sealed for now.
Multispectral imaging and synchrotron X-ray analysis could unlock the rest
The method that unlocked much of the Archimedes Palimpsest in the early 2000s was multispectral imaging photographing the manuscript under different wavelengths of light to separate layers of ink that the naked eye cannot distinguish. That same approach, combined with newer techniques, is now planned for the Blois leaf.
Gysembergh has indicated that if the necessary authorisations are granted, the first imaging campaigns could begin within a year. The planned approach combines multispectral imaging with fluorescence analyses using synchrotron X-rays a significantly more powerful technique than what was available in the early 2000s specifically targeting the text hidden under the Prophet Daniel illumination. Synchrotron-based X-ray fluorescence has already been used successfully on other palimpsests and ancient documents to detect iron-based inks that have faded below the threshold of optical detection.
Why this discovery reopens the entire Palimpsest for new study
The identification of this leaf does more than recover a single page. It has renewed interest in applying current imaging technology to the complete Archimedes Palimpsest not just the Blois leaf. The early 2000s imaging project was groundbreaking for its time, but the technology has advanced considerably since then. Pages that remained partially illegible during the first campaign could potentially yield more under a new examination using today's tools.
Archimedes' surviving works are few enough that every recoverable fragment carries real weight. On the Sphere and the Cylinder is one of his most important mathematical texts the work in which he determined the relationship between the surface area and volume of a sphere and its circumscribed cylinder. Propositions 39 to 41 of Book I deal with the geometry of spherical segments, and any text recovered here adds to a body of knowledge that shaped the entire history of mathematics. A page that spent decades in a French museum, painted over and overlooked, may yet have something to say.
