The Book of Common Fallacies

The Book of Common Fallacies
Author: Philip Ward
Publisher: Skyhorse
Total Pages: 495
Release: 2012-06-01
Genre: Reference
ISBN: 1620873362

Long before Snopes.com and Wikipedia, The Book of Common Fallacies set out to debunk popular beliefs and set the record straight. By tracking down the facts and citing experts in a multitude of fields, Philip Ward points out the senseless ideas that we have come to accept as fact. Newly updated with today’s common misconceptions and available as a single-volume paperback for the first time, The Book of Common Fallacies exposes the truth behind hundreds of commonly held false beliefs.

The Quadrature of the Circle the Square Root of Two and the Right-Angled Triangle

The Quadrature of the Circle the Square Root of Two and the Right-Angled Triangle
Author: William Alexander Myers
Publisher: BoD – Books on Demand
Total Pages: 194
Release: 2023-08-20
Genre: Fiction
ISBN: 3382818884

Reprint of the original, first published in 1873. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.

Penny Cyclopaedia of the Society for the Diffusion of Useful Knowledge

Penny Cyclopaedia of the Society for the Diffusion of Useful Knowledge
Author:
Publisher:
Total Pages: 1040
Release: 1841
Genre: Encyclopedias and dictionaries
ISBN:

V.1-20 are, like missing vols. 21-26, also freely available online at the the China-America Digital Academic Library (CADAL), & can be accessed with the following individual urls: http://lookup.lib.hku.hk/lookup/bib/B3144507Xv1 Note: Click to view v.1 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv2 Note: Click to view v.2 via CADAL http://lookup.lib.hku.hk/lookup/bib/B3144507Xv3 Note: Click to view v.3 via CADAL http://lookup.lib.hku.hk/lookup/bib/B3144507Xv4 Note: Click to view v.4 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv5 Note: Click to view v.5 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv6 Note: Click to view v.6 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv7 Note: Click to view v.7 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv8 Note: Click to view v.8 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv9 Note: Click to view v.9 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv10 Note: Click to view v.10 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv11 Note: Click to view v.11 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv12 Note: Click to view v.12 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv13 Note: Click to view v.13 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv14 Note: Click to view v.14 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv15 Note: Click to view v.15 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv16 Note: Click to view v.16 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv17 Note: Click to view v.17 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv18 Note: Click to view v.18 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv19 Note: Click to view v.19 via CADAL. -- http://lookup.lib.hku.hk/lookup/bib/B3144507Xv20 Note: Click to view v.20 via CADAL.

Irrationality, Transcendence and the Circle-Squaring Problem

Irrationality, Transcendence and the Circle-Squaring Problem
Author: Eduardo Dorrego López
Publisher: Springer Nature
Total Pages: 178
Release: 2023-03-07
Genre: Mathematics
ISBN: 3031243633

This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.