Euclid and His Modern Rivals

Charles L. Dodgson

doi:10.1017/CBO9780511701320

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Floyd, Juliet 2016. Chains of Life: Turing, Lebensform, and the Emergence of Wittgenstein’s Later Style. Nordic Wittgenstein Review, Vol. 5, Issue. 2, p. 7.

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Charles L. Dodgson

Publisher:: Cambridge University Press
Online publication date:: August 2010
Print publication year:: 2009
First published in:: 1879
Online ISBN:: 9780511701320
DOI:: https://doi.org/10.1017/CBO9780511701320

Subjects:: Mathematics (general), Mathematics, History of Mathematical Texts
Series:: Cambridge Library Collection - Mathematics

37.99 (GBP)

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Euclid and His Modern Rivals is a deeply convincing testament to the Greek mathematician's teachings of elementary geometry. Published in 1879, it is humorously constructed and written by Charles Dodgson (better known outside the mathematical world as Lewis Carroll, the author of Alice in Wonderland) in the form of an intentionally unscientific dramatic comedy. Dodgson, mathematical lecturer at Christ Church, Oxford, sets out to provide evidentiary support for the claim that The Manual of Euclid is essentially the defining and exclusive textbook to be used for teaching elementary geometry. Euclid's sequence and numbering of propositions and his treatment of parallels, states Dodgson, make convincing arguments that the Greek scholar's text stands alone in the field of mathematics. The author pointedly recognises the abundance of significant work in the field, but maintains that none of the subsequent manuals can effectively serve as substitutes to Euclid's early teachings of elementary geometry.

' … reading the book remains to be fun since it has nothing lost concerning the witty arguments of its author. Researchers in the field of the development and reception of nineteenth century textbooks on classical geometry in England will profit from this reprint.'

Source: Zentralblatt MATH

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Euclid and His Modern Rivals

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-viii

PROLOGUE
pp ix-xii

Contents
pp xiii-xxxii

Act I

SCENE I
pp 1-5

SCENE II
pp 6-52

Act II

SCENE I
pp 53-53

SCENE II
pp 54-58

SCENE III
pp 59-62

SCENE IV
pp 63-69

SCENE V
pp 70-131

Act III

SCENE I
pp 132-154

SCENE II
pp 155-182

ACT IV

Manual of Euclid
pp 183-200

Appendices

I - Extract from Mr. Todhunter's essay on ‘Elementary Geometry,’ included in ‘The Conflict of Studies, &c.’
pp 201-220

II - Extract from Mr. De Morgan's review of Mr. Wilson's Geometry, in the ‘Athenæum’ for July 18, 1868
pp 221-226

III - The enunciations of Tables I—IV, stated in full: with references to the various writers who have assumed or proved them
pp 227-239

IV - The various methods of treating Parallels, adopted by Euclid and his Modern Rivals
pp 240-274

V - Proof that, if any one proposition of Table II be granted as an Axiom, the rest can be deduced from it
pp 275-284

VI - List of propositions of Euc. I, II, with references to their occurrence in the manuals of his Modern Rivals
pp 285-298

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Euclid and His Modern Rivals

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