Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Giovanni_Girolamo_Saccheri> ?p ?o }
- Giovanni_Girolamo_Saccheri abstract "Giovanni Girolamo Saccheri (Italian pronunciation: [dʒoˈvanni dʒiˈrɔlamo sakˈkɛri]; 5 September 1667 – 25 October 1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician.Saccheri was born in Sanremo. He entered the Jesuit order in 1685, and was ordained as a priest in 1694. He taught philosophy at Turin from 1694 to 1697, and philosophy, theology, and mathematics at Pavia from 1697 until his death. He was a protégé of the mathematician Tommaso Ceva and published several works including Quaesita geometrica (1693), Logica demonstrativa (1697), and Neo-statica (1708).He is primarily known today for his last publication, in 1733 shortly before his death. Now considered the second work in non-Euclidean geometry, Euclides ab omni naevo vindicatus (Euclid Freed of Every Flaw) languished in obscurity until it was rediscovered by Eugenio Beltrami in the mid-19th century.Many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid (Risâla fî sharh mâ ashkala min musâdarât Kitâb 'Uglîdis), a fact ignored in most Western sources until recently.It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. The Saccheri quadrilateral is now sometimes referred to as the Khayyam-Saccheri quadrilateral.The intent of Saccheri's work was ostensibly to establish the validity of Euclid by means of a reductio ad absurdum proof of any alternative to Euclid's parallel postulate. To do this he assumed that the parallel postulate was false, and attempted to derive a contradiction. Since Euclid's postulate is equivalent to the statement that the sum of the internal angles of a triangle is 180°, he considered both the hypothesis that the angles add up to more or less than 180°.The first led to the conclusion that straight lines are finite, contradicting Euclid's second postulate. So Saccheri correctly rejected it. However, today this principle is accepted as the basis of elliptic geometry, where both the second and fifth postulates are rejected.The second possibility turned out to be harder to refute. In fact he was unable to derive a logical contradiction and instead derived many non-intuitive results; for example that triangles have a maximum finite area and that there is an absolute unit of length. He finally concluded that: \"the hypothesis of the acute angle is absolutely false; because it is repugnant to the nature of straight lines\". Today, his results are theorems of hyperbolic geometry.There is some minor argument on whether Saccheri really meant this, as he published his work in the final year of his life, came extremely close to discovering non-Euclidean geometry and was a logician. Some believe Saccheri only concluded in such way in an intent to avoid criticism that might come from seemingly illogical aspects of hyperbolic geometry.".
- Giovanni_Girolamo_Saccheri birthDate "1667-09-05".
- Giovanni_Girolamo_Saccheri birthPlace Sanremo.
- Giovanni_Girolamo_Saccheri birthYear "1667".
- Giovanni_Girolamo_Saccheri deathDate "1733-10-25".
- Giovanni_Girolamo_Saccheri deathYear "1733".
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- Giovanni_Girolamo_Saccheri wikiPageWikiLink Italy.
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- Giovanni_Girolamo_Saccheri wikiPageWikiLink List_of_Jesuit_scientists.
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- Giovanni_Girolamo_Saccheri wikiPageWikiLink Mathematician.
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- Giovanni_Girolamo_Saccheri wikiPageWikiLink Omar_Khayyam.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Parallel_postulate.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Pavia.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Reductio_ad_absurdum.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Saccheri_quadrilateral.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Saccheri–Legendre_theorem.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Sanremo.
- Giovanni_Girolamo_Saccheri wikiPageWikiLink Scholasticism.
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- Giovanni_Girolamo_Saccheri wikiPageWikiLink Tommaso_Ceva.
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- Giovanni_Girolamo_Saccheri wikiPageWikiLinkText "Giovanni Girolamo Saccheri".
- Giovanni_Girolamo_Saccheri wikiPageWikiLinkText "Saccheri".
- Giovanni_Girolamo_Saccheri wikiPageWikiLinkText "Saccheri, Giovanni Girolamo".
- Giovanni_Girolamo_Saccheri wikiPageWikiLinkText "Saccheri, Girolamo".
- Giovanni_Girolamo_Saccheri dateOfBirth "1667-09-05".
- Giovanni_Girolamo_Saccheri dateOfDeath "1733-10-25".
- Giovanni_Girolamo_Saccheri name "Saccheri, Giovanni Gerolamo".
- Giovanni_Girolamo_Saccheri placeOfBirth "Sanremo".
- Giovanni_Girolamo_Saccheri placeOfDeath "Milan".
- Giovanni_Girolamo_Saccheri shortDescription "Italian mathematician".
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- Giovanni_Girolamo_Saccheri description "Italian mathematician".
- Giovanni_Girolamo_Saccheri description "Italian mathematician".
- Giovanni_Girolamo_Saccheri subject Category:1667_births.
- Giovanni_Girolamo_Saccheri subject Category:1733_deaths.
- Giovanni_Girolamo_Saccheri subject Category:17th-century_Italian_mathematicians.
- Giovanni_Girolamo_Saccheri subject Category:18th-century_Italian_mathematicians.
- Giovanni_Girolamo_Saccheri subject Category:Geometers.
- Giovanni_Girolamo_Saccheri subject Category:Italian_Jesuits.
- Giovanni_Girolamo_Saccheri subject Category:Italian_Roman_Catholics.
- Giovanni_Girolamo_Saccheri subject Category:Italian_mathematicians.
- Giovanni_Girolamo_Saccheri subject Category:Italian_philosophers.
- Giovanni_Girolamo_Saccheri subject Category:People_from_Sanremo.
- Giovanni_Girolamo_Saccheri subject Category:Roman_Catholic_cleric-scientists.
- Giovanni_Girolamo_Saccheri hypernym Priest.
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- Giovanni_Girolamo_Saccheri comment "Giovanni Girolamo Saccheri (Italian pronunciation: [dʒoˈvanni dʒiˈrɔlamo sakˈkɛri]; 5 September 1667 – 25 October 1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician.Saccheri was born in Sanremo. He entered the Jesuit order in 1685, and was ordained as a priest in 1694. He taught philosophy at Turin from 1694 to 1697, and philosophy, theology, and mathematics at Pavia from 1697 until his death.".
- Giovanni_Girolamo_Saccheri label "Giovanni Girolamo Saccheri".
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- Giovanni_Girolamo_Saccheri sameAs جيوفاني_جيرولامو_ساتشيري.
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- Giovanni_Girolamo_Saccheri sameAs Giovanni_Girolamo_Saccheri.
- Giovanni_Girolamo_Saccheri sameAs Τζοβάνι_Τζιρόλαμο_Σακέρι.