Chapter 2: English Translation and Commentary

Ruth Glasner*, Avinoam Baraness

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

[93b] This book includes five parts. The first [serves as] an introduction to the book and inquires whether the imagining [ ] of equally divided motion [ ] can qualify as one of the first principles of geometry. The second is on the accidents associated with motion, which prevent its imagining from being a first principle of geometry, and how several earlier scholars became misled by them. The third is about the propria of rectilinear magnitudes and areas that are useful in this science. The fourth explains how a body is divided into surfaces, the surface into lines, and the line into points, as Plato taught, and the way of evaluating and measuring them by one another. The fifth is about some of the propria of divisions of bodies into surfaces, of surfaces into lines, and of lines into points, which are needed for the rectifying of the circle, and for the measurement of the sphere and the cylinder and the cone and the spherical annulus and the square annulus and the circular annulus and their sections, and their enclosing lines and surfaces, and on transforming them, one into the likeness of another, and on equating them to rectilinear [figures], and on the division of angles into any number of equal parts.

Original languageEnglish
Title of host publicationSources and Studies in the History of Mathematics and Physical Sciences
PublisherSpringer Science and Business Media B.V.
Pages33-199
Number of pages167
DOIs
StatePublished - 2021

Publication series

NameSources and Studies in the History of Mathematics and Physical Sciences
ISSN (Print)2196-8810
ISSN (Electronic)2196-8829

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

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