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.
สารบัญ
Greek Text and Annotated Translation.- Greek Text.- Annotated Translation of Collectio IV.- Commentary.- Plane Geometry, Apollonian Style.- Plane Geometry, Apollonian Style.- Plane Geometry, Archaic Style.- Plane Geometry, Archimedean.- Motion Curves and Symptoma-Mathematics.- Meta-theoretical Passage.- Angle Trisection.- General Angle Division.- Quadratrix, Rectification Property.- Analysis for an Archimedean Neusis.
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