Michel Chasles
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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 ...
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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 lo ...
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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 Steiner 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 Chasles 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 p ...
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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. In Gnosticism, Gnostic writings, Mary Magdalene is depicted as Jesus’s closest disciple who uniquely understood his teachings, causing tension with Saint Peter, Peter, and is honored as the “apostle to the apostles.” Mary Magdalene was a historical figure, possibly from Magdala. She was a prominent follower of Jesus who was believed to have been healed by him, supported his ministry financially, and was present at his Crucifixion of Jesus, crucifixion and burial. She played a key role among his female disciples. Overall, there is limited information about her life. Speculations about Mary Magdalene range from scholarly theories that she was the “disciple whom Jesus loved” in the ...
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Julius Caesar
Gaius Julius Caesar (12 or 13 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 Caesar's civil war, a civil war. He subsequently became Roman dictator, dictator from 49 BC until Assassination of Julius Caesar, his assassination in 44 BC. Caesar played a critical role in Crisis of the Roman Republic, the events that led to the demise of the Roman Republic and the rise of the Roman Empire. In 60 BC, Caesar, Marcus Licinius Crassus, Crassus, and Pompey formed the First Triumvirate, an informal political alliance that dominated Roman politics for several years. Their attempts to amass political power were opposed by many in the Roman Senate, Senate, among them Cato the Younger with the private 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 G ...
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Cleopatra
Cleopatra VII Thea Philopator (; The name Cleopatra is pronounced , or sometimes in both British and American English, see and respectively. Her name was pronounced in the Greek dialect of Egypt (see Koine Greek phonology). She was also styled as Thea Neotera () and Philopatris (); see 70/69 BC10 or 12 August 30 BC) was Queen of the Ptolemaic Kingdom of Ancient Egypt, Egypt from 51 to 30 BC, and the last active Hellenistic pharaoh.She was also a diplomat, Ancient navies and vessels, naval commander, linguist, and Ancient Greek medicine, medical author; see and . A member of the Ptolemaic dynasty, she was a descendant of its founder Ptolemy I Soter, a Ancient Macedonians, Macedonian Greek general and Government of Macedonia (ancient kingdom)#Companions, friends, councils, and assemblies, 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 f ...
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Aristotle
Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, and the arts. As the founder of the Peripatetic school of philosophy in the Lyceum (classical), Lyceum in Athens, he began the wider Aristotelianism, Aristotelian tradition that followed, which set the groundwork for the development of modern science. Little is known about Aristotle's life. He was born in the city of Stagira (ancient city), Stagira in northern Greece during the Classical Greece, Classical period. His father, Nicomachus (father of Aristotle), Nicomachus, died when Aristotle was a child, and he was brought up by a guardian. At around eighteen years old, he joined Plato's Platonic Academy, Academy in Athens and remained there until the age of thirty seven (). Shortly after Plato died, Aristotle left Athens and, at the request ...
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Alexander The Great
Alexander III of Macedon (; 20/21 July 356 BC – 10/11 June 323 BC), most 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 Wars of Alexander the Great, a lengthy military campaign throughout West Asia, Western Asia, Central Asia, parts of South Asia, and ancient Egypt, Egypt. By the age of 30, he had created one of the List of largest empires, largest empires in history, stretching from History of Greece, Greece to northwestern History of 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 Bal ...
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Denis Vrain-Lucas
Denis Vrain-Lucas (December 1, 1816 – April 11, 1881) 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 ...
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Penguin Books
Penguin Books Limited is a Germany, German-owned English publishing, publishing house. It was co-founded in 1935 by Allen Lane with his brothers Richard and John, as a line of the publishers the Bodley Head, only becoming a separate company the following year."About Penguin – company history"
, Penguin Books.
Penguin revolutionised publishing in the 1930s through its inexpensive paperbacks, sold through Woolworths (United Kingdom), Woolworths and other stores for Sixpence (British coin), sixpence, bringing high-quality fiction and non-fiction to the mass market. Its success showed that large audiences existed for several books. It also affected modern British popular culture significantly through its books concerning politics, the arts, and science. Penguin Books is now an imprint (trad ...
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American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (The Academy) 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 nominating petition, review, and election process. The academy's quarterly journal, '' Dædalus'', is published by the MIT Press on behalf of the academy, and has been open-access since January 2021. The academy also conducts multidisciplinary public policy research. Laurie L. Patton has served as President of the Academy since January 2025. 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-tw ...
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Rigid Bodies
In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible, when a deforming pressure or deforming force is applied on it. 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. Mechanics of rigid bodies is a field within mechanics where motions and forces of objects are studied without considering effects that can cause deformation (as opposed to mechanics of materials, where deformable objects are considered). 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, where the mass is infinitely large. In quantum mechanics, a rigid body is usually thought of as a collection of point masses. For instance, molecules (consisting of the point masses: electro ...
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Dynamics (physics)
In physics, dynamics or classical dynamics is the study of forces and their effect on motion. It is a branch of classical mechanics, along with ''statics'' and ''kinematics''. The ''fundamental principle of dynamics'' is linked to Newton's second law. Subdivisions Rigid bodies Fluids Applications Classical dynamics finds many applications: * ''Aerodynamics'', the study of the motion of air * '' Brownian dynamics'', the occurrence of Langevin dynamics in the motion of particles in solution * '' File dynamics'', stochastic motion of particles in a channel * ''Flight dynamics'', the science of aircraft and spacecraft design * ''Molecular dynamics'', the study of motion on the molecular level * '' Langevin dynamics'', a mathematical model for stochastic dynamics * '' Orbital dynamics'', the study of the motion of rockets and spacecraft * '' Stellar dynamics'', a description of the collective motion of stars * '' Vehicle dynamics, the study of vehicles in motion Generalizations ...
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