Understanding Ancient Math Through Kepler: A Few Geometric Ideas from The Harmony of the World Metadata

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Title

  • Main Title Understanding Ancient Math Through Kepler: A Few Geometric Ideas from The Harmony of the World

Creator

  • Author: Arthur, Christopher
    Creator Type: Personal

Contributor

  • Chair: Anghel, Nicolae
    Contributor Type: Personal
    Contributor Info: Major Professor
  • Committee Member: Brozovic, Douglas
    Contributor Type: Personal
  • Committee Member: Allen, John Ed, 1937-
    Contributor Type: Personal

Publisher

  • Name: University of North Texas
    Place of Publication: Denton, Texas

Date

  • Creation: 2002-08
  • Digitized: 2007-07-13

Language

  • English

Description

  • Content Description: Euclid's geometry is well-known for its theorems concerning triangles and circles. Less popular are the contents of the tenth book, in which geometry is a means to study quantity in general. Commensurability and rational quantities are first principles, and from them are derived at least eight species of irrationals. A recently republished work by Johannes Kepler contains examples using polygons to illustrate these species. In addition, figures having these quantities in their construction form solid shapes (polyhedra) having origins though Platonic philosophy and Archimedean works. Kepler gives two additional polyhedra, and a simple means for constructing the “divine” proportion is given.

Subject

  • Library of Congress Subject Headings: Kepler, Johannes, 1571-1630. Harmonices mundi.
  • Library of Congress Subject Headings: Geometry.
  • Keyword: La Grange
  • Keyword: manifold
  • Keyword: binary operations

Collection

  • Name: UNT Theses and Dissertations
    Code: UNTETD

Institution

  • Name: UNT Libraries
    Code: UNT

Rights

  • Rights Access: public
  • Rights License: copyright
  • Rights Holder: Arthur, Christopher
  • Rights Statement: Copyright is held by the author, unless otherwise noted. All rights reserved.

Resource Type

  • Thesis or Dissertation

Format

  • Text

Identifier

  • OCLC: 50444717
  • Archival Resource Key: ark:/67531/metadc3269

Degree

  • Degree Name: Master of Arts
  • Degree Level: Master's
  • Degree Discipline: Mathematics
  • Academic Department: Department of Mathematics
  • Degree Grantor: University of North Texas

Note

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