Euclid Vindicated from Every Blemish: Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri
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 comme...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
2014
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | Classic Texts in the Sciences
v.1 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | VII, 381 Seiten Illustrationen |
| ISBN: | 9783319059655 |
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| 520 | |a 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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Datensatz im Suchindex
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| author | Saccheri, Girolamo 1667-1733 |
| author_GND | (DE-588)101231687 (DE-588)116420987 |
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| author_sort | Saccheri, Girolamo 1667-1733 |
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| dewey-full | 516.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.9 |
| dewey-search | 516.9 |
| dewey-sort | 3516.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Book |
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| id | DE-604.BV044283642 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:48:41Z |
| institution | BVB |
| isbn | 9783319059655 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029687952 |
| oclc_num | 992461037 |
| open_access_boolean | |
| owner | DE-188 |
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| physical | VII, 381 Seiten Illustrationen |
| publishDate | 2014 |
| publishDateSearch | 2014 |
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| publisher | Springer |
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| series2 | Classic Texts in the Sciences |
| spelling | Saccheri, Girolamo 1667-1733 Verfasser (DE-588)101231687 aut Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri 1st ed Cham Springer 2014 © 2014 VII, 381 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Classic Texts in the Sciences v.1 Description based on publisher supplied metadata and other sources 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 Mathematik Geometry, Non-Euclidean Mathematics Allegri, Linda Sonstige oth Halsted, George Bruce 1853-1922 Sonstige (DE-588)116420987 oth Erscheint auch als Online-Ausgabe 978-3-319-05965-5 |
| spellingShingle | Saccheri, Girolamo 1667-1733 Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri Mathematik Geometry, Non-Euclidean Mathematics |
| title | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_auth | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_exact_search | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_full | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_fullStr | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_full_unstemmed | Euclid Vindicated from Every Blemish Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| title_short | Euclid Vindicated from Every Blemish |
| title_sort | euclid vindicated from every blemish edited and annotated by vincenzo de risi translated by g b halsted and l allegri |
| title_sub | Edited and Annotated by Vincenzo De Risi. Translated by G.B. Halsted and L. Allegri |
| topic | Mathematik Geometry, Non-Euclidean Mathematics |
| topic_facet | Mathematik Geometry, Non-Euclidean Mathematics |
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