The Influence of the Completion

  • J. P. Hogendijk
Part of the Sources in the History of Mathematics and Physical Sciences book series (SOURCES, volume 7)


There is no survey of the material on conic sections written by Ibn al-Haytham’s successors, and many of the relevant manuscripts are not easily accessible. Thus I have not been able to examine more than a fraction of the texts in which traces of the Completion could possibly be found; therefore, I cannot draw any definite conclusion about the circulation and influence of the Completion in later Arabic geometry. But it seems that the technical character of the work prevented it from being widely studied, and that its influence was therefore very limited. The Completion was entirely unknown in medieval Europe.


Intermediate Step Technical Character Conic Section Critical Remark Extant Version 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • J. P. Hogendijk
    • 1
  1. 1.History of Mathematics DepartmentBrown UniversityProvidenceUSA

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