Curiosa Mathematica, Vol. 1: A New Theory of Parallels (Classic Reprint) - Couverture souple

Charles L. Dodgson

 
9781332008186: Curiosa Mathematica, Vol. 1: A New Theory of Parallels (Classic Reprint)
Couverture souple
ISBN 10 : 1332008186 ISBN 13 : 9781332008186
Editeur : Forgotten Books, 2017

Synopsis

Excerpt from Curiosa Mathematica, Vol. 1: A New Theory of Parallels

If only it could be proved, with equal ease, that "there is a Triangle whose angles are together not-less than two right angles"! But alas, that is an ignis fatuus that has never yet been caught! The man, who first proves that Theorem, without using Euclid's 12th Axiom or any substitute for it, will certainly deserve a place among the world's great discoverers.

I take this opportunity of replying to one or two criticisms, which have been published, on the Second Edition - earnestly assuring the writers of those criticisms that, in treating the questions at issue between us from a not-wholly-solemn point of view, I have been actuated by no feeling of disrespect towards them, but simply from the wish to lighten a subject, naturally somewhat too heavy and sombre, and thus to make it a little more palatable to the general Reader.

At p. 12 of the and Edition, the enunciation of Prop. VI (which re-appears, in a modified form, at p. 34 of the 3rd Edition) stood thus: -

"If the vertical angle of a Sector of a Circle be divided by radii into 2n equal angles, thus forming 2n equal Sectors; and if the chord of each such Sector be not less than the radius of the Circle: the original Sector is not less than a times the Triangle cut off from it by its chords." My controversy with Nature on this enunciation, will be best given in the form of a dialogue. (Of course I quote verbatim.)

Nature. (Dec.6, 1888.) "How are the figures to be constructed, if n be greater than 2?"

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Présentation de l'éditeur

Excerpt from Curiosa Mathematica, Vol. 1: A New Theory of Parallels

If only it could be proved, with equal ease, that "there is a Triangle whose angles are together not-less than two right angles"! But alas, that is an ignis fatuus that has never yet been caught! The man, who first proves that Theorem, without using Euclid's 12th Axiom or any substitute for it, will certainly deserve a place among the world's great discoverers.

I take this opportunity of replying to one or two criticisms, which have been published, on the Second Edition - earnestly assuring the writers of those criticisms that, in treating the questions at issue between us from a not-wholly-solemn point of view, I have been actuated by no feeling of disrespect towards them, but simply from the wish to lighten a subject, naturally somewhat too heavy and sombre, and thus to make it a little more palatable to the general Reader.

At p. 12 of the and Edition, the enunciation of Prop. VI (which re-appears, in a modified form, at p. 34 of the 3rd Edition) stood thus: -

"If the vertical angle of a Sector of a Circle be divided by radii into 2n equal angles, thus forming 2n equal Sectors; and if the chord of each such Sector be not less than the radius of the Circle: the original Sector is not less than a times the Triangle cut off from it by its chords." My controversy with Nature on this enunciation, will be best given in the form of a dialogue. (Of course I quote verbatim.)

Nature. (Dec.6, 1888.) "How are the figures to be constructed, if n be greater than 2?"

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Forgotten Books
Date d'édition
2017
Langue
anglais
ISBN 10 
1332008186
ISBN 13 
9781332008186
Reliure
Broché
Nombre de pages
106
Coordonnées du fabricant
Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
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Autres éditions populaires du même titre

9780265425800: Curiosa Mathematica, Vol. 1: A New Theory of Parallels (Classic Reprint)

Edition présentée

ISBN 10 :  0265425808 ISBN 13 :  9780265425800
Editeur : Forgotten Books, 2018
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