Summary and Concluding Remarks

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The present chapter summarizes the discussion presented in the previous chapters concerning the contributions of sixteenth- and seventeenth-century British mathematicians to the longue durée development of the Euclidean tradition, with a focal point on the relationship between geometry and arithmetic, and the eventual incorporation of proto-algebraic and algebraic methods. Particular attention is devoted to Book II and, more specifically, to the prism offered by propositions II.5-II.6 and related results. A connection is made to previously existing scholarship, in particular to the work of Jacqueline Stedall.

Original languageEnglish
Title of host publicationSpringerBriefs in History of Science and Technology
PublisherSpringer Nature
Number of pages10
StatePublished - 2022
Externally publishedYes

Publication series

NameSpringerBriefs in History of Science and Technology
ISSN (Print)2211-4564
ISSN (Electronic)2211-4572

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.


  • British mathematics
  • Early algebraic symbolism
  • Euclidean tradition
  • Euclid’s Book II
  • Euclid’s Elements
  • Jacqueline Stedall


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