5048
ed138726-bf11-4154-ba93-a4f839b86113
Euclid Vindicated from Every Blemish
Saccheri, Gerolamo, S.J.
De Risi, Vincenzo
Halsted, G. B.
Allegri, L.
calibre (7.6.0) [https://calibre-ebook.com]
2014-08-05T13:13:16+00:00
<div><div>Duhem's <i>Les origines de la statique</i> is the only modern work to analyze this work of the mathematician <a href="http://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/saccheri-giovanni-girolamo">Fr. Saccheri, S.J.</a></div><hr><div id="book-description" class="u-content u-overflow-wrap"><p>This first complete English language edition of <i>Euclides vindicatus</i>
presents a corrected and revised edition of the classical English
translation of Saccheri's text by G.B. Halsted. It is complemented with a
historical introduction on the geometrical environment of the time and a
detailed commentary that helps to understand the aims and subtleties of
the work.<i></i></p><p><i>Euclides vindicatus,</i> written by the
Jesuit mathematician <a href="http://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/saccheri-giovanni-girolamo">Gerolamo Saccheri</a>, was published in Milan in 1733.
In it, Saccheri attempted to reform elementary geometry in two important
directions: a demonstration of the famous Parallel Postulate, and the
theory of proportions. Both topics were of pivotal importance in the
mathematics of the time. In particular, the Parallel Postulate had
escaped demonstration since the first attempts at it in the Classical
Age, and several books on the topic were published in the Early Modern
Age. At the same time, the theory of proportion was the most important
mathematical tool of the Galilean School in its pursuit of the
mathematization of nature. Saccheri's attempt to prove the Parallel
Postulate is today considered the most important breakthrough in
geometry in the 18th century, as he was able to develop for hundreds of
pages and dozens of theorems a system in geometry that denied the truth
of the postulate (in the attempt to find a contradiction). This can be
regarded as the first system of non-Euclidean geometry. Its later
developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened
the way to contemporary geometry.</p><p>Occupying a unique position in the literature of mathematical history, <i>Euclid Vindicated from Every Blemish</i>
will be of high interest to historians of mathematics as well as
historians of philosophy interested in the development of non-Euclidean
geometries.</p></div></div>
BirkhĂ¤user
10.1007/978-3-319-05966-2
980886623
9783319059662
eng
history non-euclidean geometry
parallel postulate
theory of proportions