Grégoire De Saint-Vincent (1584-1667)
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Grégoire De Saint-Vincent (1584-1667)
Grégoire de Saint-Vincent - in Latin : Gregorius a Sancto Vincentio, in Dutch : Gregorius van St-Vincent - (8 September 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician. He is remembered for his work on quadrature of the hyperbola. Grégoire gave the "clearest early account of the summation of geometric series." Margaret E. Baron (1969) ''The Origins of the Infinitesimal Calculus'', Pergamon Press, republished 2014 by ElsevierGoogle Books preview/ref> He also resolved Zeno's paradox by showing that the time intervals involved formed a geometric progression and thus had a finite sum. Life Gregoire was born in Bruges 8 September 1584. After reading philosophy in Douai, he entered the Society of Jesus 21 October 1605. His talent was recognized by Christopher Clavius in Rome. Gregoire was sent to Louvain in 1612, and was ordained a priest 23 March 1613. Gregoire began teaching in association with François d'Aguilon in Antwerp from 1617 to 20. ...
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Grégoire De Saint-Vincent (1584-1667)
Grégoire de Saint-Vincent - in Latin : Gregorius a Sancto Vincentio, in Dutch : Gregorius van St-Vincent - (8 September 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician. He is remembered for his work on quadrature of the hyperbola. Grégoire gave the "clearest early account of the summation of geometric series." Margaret E. Baron (1969) ''The Origins of the Infinitesimal Calculus'', Pergamon Press, republished 2014 by ElsevierGoogle Books preview/ref> He also resolved Zeno's paradox by showing that the time intervals involved formed a geometric progression and thus had a finite sum. Life Gregoire was born in Bruges 8 September 1584. After reading philosophy in Douai, he entered the Society of Jesus 21 October 1605. His talent was recognized by Christopher Clavius in Rome. Gregoire was sent to Louvain in 1612, and was ordained a priest 23 March 1613. Gregoire began teaching in association with François d'Aguilon in Antwerp from 1617 to 20. ...
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Louvain, Belgium
Leuven (, ) or Louvain (, , ; german: link=no, Löwen ) is the capital and largest City status in Belgium, city of the Provinces of Belgium, province of Flemish Brabant in the Flemish Region of Belgium. It is located about east of Brussels. The municipality itself comprises the historic city and the deelgemeente, former neighbouring municipalities of Heverlee, Kessel-Lo, a part of Korbeek-Lo, Wilsele and Wijgmaal. It is the eighth largest city in Belgium, with more than 100,244 inhabitants. KU Leuven, Belgium's largest university, has its flagship campus in Leuven, which has been a university city since 1425. This makes it the oldest university city in the Low Countries. The city is home of the headquarters of Anheuser-Busch InBev, the world's largest beer brewer and sixth-largest fast-moving consumer goods company. History Middle Ages The earliest mention of Leuven (''Loven'') dates from 891, when a Viking army was defeated by the Franks, Frankish king Arnulf of Carinthia ...
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Ungula
In solid geometry, an ungula is a region of a solid of revolution, cut off by a plane oblique to its base. A common instance is the spherical wedge. The term ''ungula'' refers to the hoof of a horse, an anatomical feature that defines a class of mammals called ungulates. The volume of an ungula of a cylinder was calculated by Grégoire de Saint Vincent. Two cylinders with equal radii and perpendicular axes intersect in four double ungulae.Blaise Pascalbr>Lettre de Dettonville a Carcavidescribes the onglet and double onglet, link from HathiTrust The bicylinder formed by the intersection had been measured by Archimedes in The Method of Mechanical Theorems, but the manuscript was lost until 1906. A historian of calculus described the role of the ungula in integral calculus: :Grégoire himself was primarily concerned to illustrate by reference to the ''ungula'' that volumetric integration could be reduced, through the ''ductus in planum'', to a consideration of geometric relations be ...
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Volume
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume. The volume of a container is generally understood to be the capacity of the container; i.e., the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces. In ancient times, volume is measured using similar-shaped natural containers and later on, standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes can be calculated with integral calculus if a formula exists for the shape's boundary. Zero-, one- and two-dimensional objects have no volume; in fourth and higher dimensions, an analogous concept to the normal vo ...
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Solid (geometry)
In mathematics, solid geometry or stereometry is the traditional name for the geometry of three-dimensional, Euclidean spaces (i.e., 3D geometry). Stereometry deals with the measurements of volumes of various solid figures (or 3D figures), including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres. History The Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonists. Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius.Paraphrased and taken in part from the ''1911 Encyclopædia Britannica''. Topics Basic topics in solid geometry and stereometry include: * incidence of planes and lines * dihedral angle and ...
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Historia Mathematica
''Historia Mathematica: International Journal of History of Mathematics'' is an academic journal on the history of mathematics published by Elsevier. It was established by Kenneth O. May in 1971 as the free newsletter ''Notae de Historia Mathematica'', but by its sixth issue in 1974 had turned into a full journal. The International Commission on the History of Mathematics began awarding the Montucla Prize, for the best article by an early career scholar in ''Historia Mathematica'', in 2009. The award is given every four years. Editors The editors of the journal have been: * Kenneth O. May, 1974–1977 * Joseph W. Dauben, 1977–1985 * Eberhard Knobloch, 1985–1994 * David E. Rowe, 1994–1996 * Karen Hunger Parshall, 1996–2000 * Craig Fraser and Umberto Bottazzini, 2000–2004 * Craig Fraser, 2004–2007 * Benno van Dalen, 2007–2009 * June Barrow-Green and Niccolò Guicciardini, 2010–2013 * Niccolò Guicciardini and Tom Archibald, 2013-2015 * Tom Archibald and Reinha ...
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Rodrigo De Arriaga
Rodrigo de Arriaga (17 January 1592 – 7 June 1667) was a Spanish philosopher, theologian and Jesuit. He is known as one of the foremost Spanish Jesuits of his day and as a leading representative of post- Suárezian baroque Jesuit nominalism. Life Born in 1592, at Logroño in Castile, he joined the Society of Jesus on September 17, 1606, when he was 14 years old. He studied philosophy and theology under Pedro Hurtado de Mendoza and taught philosophy (1620–1623) and theology (1624) in Valladolid and theology in Salamanca (1624–1625). In 1625 he was sent to the University of Prague, where he remained for the rest of his life. Arriaga served as professor of theology from 1626, shortly after his arrival, until 1637, when he became prefect of studies in the theology faculty. He held that position until 1642, when he became chancellor of the Clementinum, remaining in this post until 1654. In 1654 he was again appointed prefect of studies and retained this position until his de ...
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Theodorus Moretus
Theodorus Moretus, also known as Theodor or Theodore Moretus (1602–1667) was a Flemish Jesuit priest who was also a mathematician, geometer, theologian and philosopher. He spent most of his working life in Prague and Breslau (now Wroclaw) where he taught philosophy, theology and mathematics. He published a number of treatises on these three subjects and also on physics and music theory.Leon Voet, ''The Golden Compasses. The History of the House of Plantin-Moretus''
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Apoplexy
Apoplexy () is rupture of an internal organ and the accompanying symptoms. The term formerly referred to what is now called a stroke. Nowadays, health care professionals do not use the term, but instead specify the anatomic location of the bleeding, such as cerebral, ovarian or pituitary. Informally or metaphorically, the term ''apoplexy'' is associated with being furious, especially as "apoplectic". Historical meaning From the late 14th to the late 19th century,''OED Online'', 2010, Oxford University Press. 7 February 2011 ''apoplexy'' referred to any sudden death that began with a sudden loss of consciousness, especially one in which the victim died within a matter of seconds after losing consciousness. The word ''apoplexy'' was sometimes used to refer to the symptom of sudden loss of consciousness immediately preceding death. Ruptured aortic aneurysms, and even heart attacks and strokes were referred to as apoplexy in the past, because before the advent of medical science, the ...
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Emperor Ferdinand II
Ferdinand II (9 July 1578 – 15 February 1637) was Holy Roman Emperor, King of Bohemia, Hungary, and Croatia from 1619 until his death in 1637. He was the son of Archduke Charles II of Inner Austria and Maria of Bavaria. His parents were devout Catholics, and, in 1590, they sent him to study at the Jesuits' college in Ingolstadt because they wanted to isolate him from the Lutheran nobles. In July that same year (1590), when Ferdinand was 12 years old, his father died, and he inherited Inner Austria–Styria, Carinthia, Carniola and smaller provinces. His cousin, the childless Rudolf II, Holy Roman Emperor, who was the head of the Habsburg family, appointed regents to administer these lands. Ferdinand was installed as the actual ruler of the Inner Austrian provinces in 1596 and 1597. Rudolf II also charged him with the command of the defense of Croatia, Slavonia, and southeastern Hungary against the Ottoman Empire. Ferdinand regarded the regulation of religious issues as a ...
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Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate oceanic climate, with relatively warm summers and chilly winters. Prague is a political, cultural, and economic hub of central Europe, with a rich history and Romanesque, Gothic, Renaissance and Baroque architectures. It was the capital of the Kingdom of Bohemia and residence of several Holy Roman Emperors, most notably Charles IV (r. 1346–1378). It was an important city to the Habsburg monarchy and Austro-Hungarian Empire. The city played major roles in the Bohemian and the Protestant Reformations, the Thirty Years' War and in 20th-century history as the capital of Czechoslovakia between the World Wars and the post-war Communist era. Prague is home to a number of well-known cultural attractions, many of which survived the ...
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