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Michel Chasles
Michel Floréal Chasles (; 15 November 1793 – 18 December 1880) was a French mathematician. Biography He was born at Épernon in France and studied at the École Polytechnique in Paris under Siméon Denis Poisson. In the War of the Sixth Coalition he was drafted to fight in the defence of Paris in 1814. After the war, he gave up on a career as an engineer or stockbroker in order to pursue his mathematical studies. In 1837 he published the book ''Aperçu historique sur l'origine et le développement des méthodes en géométrie'' ("Historical view of the origin and development of methods in geometry"), a study of the method of reciprocal polars in projective geometry. The work gained him considerable fame and respect and he was appointed Professor at the École Polytechnique in 1841, then he was awarded a chair at the Sorbonne in 1846. A second edition of this book was published in 1875. In 1839, Ludwig Adolph Sohncke (the father of Leonhard Sohncke) translated the original int ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Épernon
Épernon () is a French commune in the Eure-et-Loir department, Centre-Val de Loire. It lies some northeast of Chartres, at the confluence of the Drouette and the Guesle. History Épernon was originally the home of the counts of Montfort and Amaury. In the 11th century, they raised the fortresses of Épernon and Montfort for the protection of the Château de St Léger and granted a charter to the town. Four gates gave access to the medieval city: the gate of Chartres, the gate of Geolle, the gate of Paris and the gate of Beauce. Above the gates an inscription paid homage to the village that previously existed there: ''Autrist fut jadis mon nom/A présent on me nomme Espierremont'' (Autrist was once my name/now my name is Espierremont). Charters of the 12th and 13th century variously refer to the town as Sparno and Sparnonum, but by the 14th century it had evolved to Esparnon and Espernon, very close to its present appellation. In the 13th century it became an independent lord ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steiner's Conic Problem
In enumerative geometry, Steiner's conic problem is the problem of finding the number of smooth conics tangent to five given conics in the plane in general position. If the problem is considered in the complex projective plane CP2, the correct solution is 3264 (). The problem is named after Jakob Steiner who first posed it and who gave an incorrect solution in 1848. History claimed that the number of conics tangent to 5 given conics in general position is 7776 = 65, but later realized this was wrong. The correct number 3264 was found in about 1859 by Ernest de Jonquières who did not publish because of Steiner's reputation, and by using his theory of characteristics, and by Berner in 1865. However these results, like many others in classical intersection theory, do not seem to have been given complete proofs until the work of Fulton and Macpherson in about 1978. Formulation and solution The space of (possibly degenerate) conics in the complex projective plane CP2 c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lazarus Of Bethany
Lazarus of Bethany (Latinised from Lazar, ultimately from Hebrew Eleazar, "God helped"), also venerated as Righteous Lazarus, the Four-Days Dead in the Eastern Orthodox Church, is the subject of a prominent sign of Jesus in the Gospel of John, in which Jesus restores him to life four days after his death. The Eastern Orthodox and Catholic traditions offer varying accounts of the later events of his life. In the context of the seven signs in the Gospel of John, the raising of Lazarus at Bethany – today the Palestinian town of Al-Eizariya in the West Bank, which translates to "the place of Lazarus" – is the climactic narrative: exemplifying the power of Jesus "over the last and most irresistible enemy of humanity: death. For this reason, it is given a prominent place in the gospel." The name ''Lazarus'' is frequently used in science and popular culture in reference to apparent restoration to life; for example, the scientific term Lazarus taxon denotes organisms that reappear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mary Magdalene
Mary Magdalene (sometimes called Mary of Magdala, or simply the Magdalene or the Madeleine) was a woman who, according to the four canonical gospels, traveled with Jesus as one of his followers and was a witness to crucifixion of Jesus, his crucifixion and Resurrection of Jesus, resurrection. She is mentioned by name twelve times in the canonical gospels, more than most of the Apostles in the New Testament, apostles and more than any other woman in the gospels, other than Jesus' family. Mary's epithet ''Magdalene'' may mean that she came from the town of Magdala, a fishing town on the western shore of the Sea of Galilee in Roman Judea. The Gospel of Luke Luke 8, chapter 8 lists Mary Magdalene as one of the women who traveled with Jesus and helped support his ministry "out of their resources", indicating that she was probably wealthy. The same passage also states that seven demons Exorcism, had been driven out of her, a statement which is repeated in Mark 16. In all the four can ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Julius Caesar
Gaius Julius Caesar (; ; 12 July 100 BC – 15 March 44 BC), was a Roman general and statesman. A member of the First Triumvirate, Caesar led the Roman armies in the Gallic Wars before defeating his political rival Pompey in a civil war, and subsequently became dictator from 49 BC until his assassination in 44 BC. He played a critical role in the events that led to the demise of the Roman Republic and the rise of the Roman Empire. In 60 BC, Caesar, Crassus and Pompey formed the First Triumvirate, an informal political alliance that dominated Roman politics for several years. Their attempts to amass power as were opposed by the within the Roman Senate, among them Cato the Younger with the frequent support of Cicero. Caesar rose to become one of the most powerful politicians in the Roman Republic through a string of military victories in the Gallic Wars, completed by 51 BC, which greatly extended Roman territory. During this time he both invaded Britain and built a b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cleopatra
Cleopatra VII Philopator ( grc-gre, Κλεοπάτρα Φιλοπάτωρ}, "Cleopatra the father-beloved"; 69 BC10 August 30 BC) was Queen of the Ptolemaic Kingdom of Egypt from 51 to 30 BC, and its last active ruler.She was also a diplomat, naval commander, linguist, and medical author; see and . A member of the Ptolemaic dynasty, she was a descendant of its founder Ptolemy I Soter, a Macedonian Greek general and companion of Alexander the Great. writes about Ptolemy I Soter: "The Ptolemaic dynasty, of which Cleopatra was the last representative, was founded at the end of the fourth century BC. The Ptolemies were not of Egyptian extraction, but stemmed from Ptolemy Soter, a Macedonian Greek in the entourage of Alexander the Great."For additional sources that describe the Ptolemaic dynasty as " Macedonian Greek", please see , , , and . Alternatively, describes them as a "Macedonian, Greek-speaking" dynasty. Other sources such as and describe the Ptolemies a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander The Great
Alexander III of Macedon ( grc, wikt:Ἀλέξανδρος, Ἀλέξανδρος, Alexandros; 20/21 July 356 BC – 10/11 June 323 BC), commonly known as Alexander the Great, was a king of the Ancient Greece, ancient Greek kingdom of Macedonia (ancient kingdom), Macedon. He succeeded his father Philip II of Macedon, Philip II to the throne in 336 BC at the age of 20, and spent most of his ruling years conducting a lengthy military campaign throughout Western Asia and ancient Egypt, Egypt. By the age of thirty, he had created one of the List of largest empires, largest empires in history, stretching from Greece to northwestern Historical India, India. He was undefeated in battle and is widely considered to be one of history's greatest and most successful military commanders. Until the age of 16, Alexander was tutored by Aristotle. In 335 BC, shortly after his assumption of kingship over Macedon, he Alexander's Balkan campaign, campaigned in the Balkans and reasserted control ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Denis Vrain-Lucas
Denis Vrain-Lucas (1818–1882) was a French forger who sold counterfeit letters and other documents to French manuscript collectors. He even wrote purported letters from biblical figures in French. Vrain-Lucas was trained as a law clerk, but by 1854 he had begun to forge historical documents, especially letters. He began by using writing material and self-made inks from the appropriate period and forged mainly documents from French authors. He collected historical details from the Imperial library. As his forgeries became more readily accepted, he began to produce letters from historical figures. In 1861 Vrain-Lucas approached French mathematician and collector Michel Chasles and sold him forged letters of Robert Boyle, Isaac Newton and Blaise Pascal. In one of them Pascal supposedly claimed that he had discovered the laws of gravity before Newton. Since this would have meant that a Frenchman had stated these laws before an Englishman, Chasles accepted the letter and asked for m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other Founding Fathers of the United States. It is headquartered in Cambridge, Massachusetts. Membership in the academy is achieved through a thorough petition, review, and election process. The academy's quarterly journal, ''Dædalus'', is published by MIT Press on behalf of the academy. The academy also conducts multidisciplinary public policy research. History The Academy was established by the Massachusetts legislature on May 4, 1780, charted in order "to cultivate every art and science which may tend to advance the interest, honor, dignity, and happiness of a free, independent, and virtuous people." The sixty-two incorporating fellows represented varying interests and high standing in the political, professional, and commercial secto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rigid Bodies
In physics, a rigid body (also known as a rigid object) is a solid body in which deformation is zero or so small it can be neglected. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it. A rigid body is usually considered as a continuous distribution of mass. In the study of special relativity, a perfectly rigid body does not exist; and objects can only be assumed to be rigid if they are not moving near the speed of light. In quantum mechanics, a rigid body is usually thought of as a collection of point masses. For instance, molecules (consisting of the point masses: electrons and nuclei) are often seen as rigid bodies (see classification of molecules as rigid rotors). Kinematics Linear and angular position The position of a rigid body is the position of all the particles of which it is composed. To simplify the description of this position, we exploit the property that the body is rigid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamics (physics)
Dynamics is the branch of classical mechanics that is concerned with the study of forces and their effects on motion. Isaac Newton was the first to formulate the fundamental physical laws that govern dynamics in classical non-relativistic physics, especially his second law of motion. Principles Generally speaking, researchers involved in dynamics study how a physical system might develop or alter over time and study the causes of those changes. In addition, Newton established the fundamental physical laws which govern dynamics in physics. By studying his system of mechanics, dynamics can be understood. In particular, dynamics is mostly related to Newton's second law of motion. However, all three laws of motion are taken into account because these are interrelated in any given observation or experiment. Linear and rotational dynamics The study of dynamics falls under two categories: linear and rotational. Linear dynamics pertains to objects moving in a line and involves such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
