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Euclid Vindicated from Every Blemish - Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri (Paperback, Softcover reprint of the original 1st ed. 2014)
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Euclid Vindicated from Every Blemish - Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Classic Texts in the Sciences
Expected to ship within 10 - 15 working days
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This first complete English language edition of Euclides vindicatus
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. Euclides vindicatus, written by
the Jesuit mathematician Gerolamo Saccheri, 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. Occupying a unique
position in the literature of mathematical history, Euclid
Vindicated from Every Blemish will be of high interest to
historians of mathematics as well as historians of philosophy
interested in the development of non-Euclidean geometries.
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