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Foci

In: Collineations and Conic Sections

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  • Christopher Baltus

    (State University of New York at Oswego, Department of Mathematics)

Abstract

It is a formidable challenge to include foci in a projective treatment of the conic sections. They are, of course, not preserved under projection. Poncelet wrote in his 1822 Traité, Art. 446: “Although the properties of foci (foyers) …seem to not be among those we have called projectives, …they follow nevertheless in a very simple manner from foundational principles ….” Foci

Suggested Citation

  • Christopher Baltus, 2020. "Foci," Springer Books, in: Collineations and Conic Sections, chapter 0, pages 117-126, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-46287-1_9
    DOI: 10.1007/978-3-030-46287-1_9
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