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Thomas Morel, "Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe" (Cambridge UP, 2022)

Nov 21, 2025
Thomas Morel, a historian of mathematics from the University of Wuppertal, dives into subterranean geometry, a neglected field that thrived in the silver mines of early modern Europe. He explores how miners blended practical mathematics with artisanal skill, illustrating the significance of geometry in their daily work and conflicts over resources. Morel highlights fascinating case studies, including the rapid urban growth of mining centers and how innovative cartography transformed mine mapping. His insights shed light on the interplay of craftsmanship and scientific knowledge during this pivotal era.
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INSIGHT

Origins Of Underground Geometry

  • Thomas Morel discovered subterranean geometry by tracing mathematical teaching in mining schools back to practical work in mines.
  • He followed manuscript and archival evidence to show practitioners used specialized geometry distinct from university math.
INSIGHT

Practitioner-Focused Manuals

  • Geometria Subterranea foregrounds instruments and practical procedure rather than university-style proofs.
  • The book functions as a practitioner's manual combining instrument plates, arithmetic, and procedural propositions.
ANECDOTE

Leibniz Bought A Mining Manual

  • Morel traced multiple editions and readership, including university professors like Leibniz buying the book upon publication.
  • Practitioners kept manuscript traditions even after printing, mixing printed books with personal notes.
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