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Inside Archival Vault 10, Robert Langdon and Vittoria Vetra struggle to locate Galileo’s Diagramma della Verità without the computerized catalog. The archive’s organization proves less intuitive than Langdon expected, so the two split up and search manually while the vault’s oxygen continues to diminish.

Vittoria finds the manuscript near the back of the vault, stored not on a shelf but in a folio bin for unbound pages. Langdon is thrilled and carefully removes the black preservation pouch, then carries it to the archival examination table to inspect the folios with proper tools.

Langdon opens the pouch with intense reverence, treating the manuscript as a historic treasure. The pages appear authentic and well preserved, and the cover sheet bears Galileo’s title, date, and name in his own hand. For a moment, Langdon is overwhelmed by the rarity of the encounter and forgets the danger that brought him there.

Langdon and Vittoria begin turning the pages, expecting to find mathematics because Langdon believes the Illuminati clue should be written in the “pure language.” Instead, the early folios contain essays on heliocentricity, planetary motion, lunar phases, and tides. Vittoria translates headings while Langdon searches for diagrams, equations, or numbers, but none appear.

After reaching the end of the short manuscript without finding an obvious clue, Langdon refuses to accept that the segno is absent. Vittoria suggests the clue may not be mathematical, but Langdon concludes the numbers may be written out in words. With time and oxygen running out, the two divide the pages and begin scanning the old Italian text for hidden numerical clues.