Book contents
- Frontmatter
- PROLOGUE
- Contents
- Act I
- Act II
- Act III
- ACT IV
- Appendices
- I Extract from Mr. Todhunter's essay on ‘Elementary Geometry,’ included in ‘The Conflict of Studies, &c.’
- II Extract from Mr. De Morgan's review of Mr. Wilson's Geometry, in the ‘Athenæum’ for July 18, 1868
- III The enunciations of Tables I—IV, stated in full: with references to the various writers who have assumed or proved them
- IV The various methods of treating Parallels, adopted by Euclid and his Modern Rivals
- V Proof that, if any one proposition of Table II be granted as an Axiom, the rest can be deduced from it
I - Extract from Mr. Todhunter's essay on ‘Elementary Geometry,’ included in ‘The Conflict of Studies, &c.’
Published online by Cambridge University Press: 29 August 2010
- Frontmatter
- PROLOGUE
- Contents
- Act I
- Act II
- Act III
- ACT IV
- Appendices
- I Extract from Mr. Todhunter's essay on ‘Elementary Geometry,’ included in ‘The Conflict of Studies, &c.’
- II Extract from Mr. De Morgan's review of Mr. Wilson's Geometry, in the ‘Athenæum’ for July 18, 1868
- III The enunciations of Tables I—IV, stated in full: with references to the various writers who have assumed or proved them
- IV The various methods of treating Parallels, adopted by Euclid and his Modern Rivals
- V Proof that, if any one proposition of Table II be granted as an Axiom, the rest can be deduced from it
Summary
It has been said by a distinguished philosopher that England is “usually the last to enter into the general movement of the European mind.” The author of the remark probably meant to assert that a man or a system may have become famous on the continent, while we are almost ignorant of the name of the man and the claims of his system. Perhaps, however, a wider range might be given to the assertion. An exploded theory or a disadvantageous practice, like a rebel or a patriot in distress, seeks refuge on our shores to spend its last days in comfort if not in splendour. Just when those who originally set up an idol begin to suspect that they have been too extravagant in their devotions we receive the discredited image and commence our adorations. It is a less usual but more dangerous illustration of the principle, if just as foreigners are learning to admire one of our peculiarities we should grow weary of it.
In teaching elementary geometry in England we have for a long time been accustomed to use the well-known Elements of Euclid. At the present moment, when we learn from the best testimony, namely, the admission of anti-Euclideans, that both in France and Italy dissatisfaction is felt with the system hitherto used, accompanied with more or less desire to adopt ours, we are urged by many persons to exchange our system for one which is falling out of favour on the continent.
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- Information
- Euclid and His Modern Rivals , pp. 201 - 220Publisher: Cambridge University PressPrint publication year: 2009First published in: 1879