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Pappus of Alexandria: Book 4 of the Collection

Edited With Translation and Commentary by Heike Sefrin-Weis

  • Pappus' work is the most important source on Greek mathematics from late antiquity, an invaluable source of information about the mathematics of the Hellenistic "Golden Age"
  • This volume of the Collection give unique insights into Greek geometrical methodology

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxxi
  2. Greek Text and Annotated Translation

    1. Front Matter

      Pages 1-1
    2. Greek Text

      • Heike Sefrin-Weis
      Pages 11-82
    3. Annotated Translation of Collectio IV

      • Heike Sefrin-Weis
      Pages 83-167
  3. Commentary

    1. Front Matter

      Pages 169-169
    2. Plane Geometry, Apollonian Style

      • Heike Sefrin-Weis
      Pages 173-192
    3. Plane Geometry, Apollonian Style

      • Heike Sefrin-Weis
      Pages 193-202
    4. Plane Geometry, Archaic Style

      • Heike Sefrin-Weis
      Pages 203-206
    5. Plane Geometry, Archimedean

      • Heike Sefrin-Weis
      Pages 207-221
    6. Motion Curves and Symptoma-Mathematics

      • Heike Sefrin-Weis
      Pages 223-270
    7. Meta-theoretical Passage

      • Heike Sefrin-Weis
      Pages 271-275
    8. Angle Trisection

      • Heike Sefrin-Weis
      Pages 277-291
    9. General Angle Division

      • Heike Sefrin-Weis
      Pages 293-296
    10. Quadratrix, Rectification Property

      • Heike Sefrin-Weis
      Pages 297-300
    11. Analysis for an Archimedean Neusis

      • Heike Sefrin-Weis
      Pages 301-311
  4. Back Matter

    Pages 315-328

About this book

Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry.

This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition, notes to facilitate understanding of the steps in the mathematical argument, a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work, bibliographical references for further study.

Editors and Affiliations

  • Department of Philosophy, University of South Carolina, Columbia, USA

    Heike Sefrin-Weis

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access