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Lorenzo Mascheroni
Lorenzo Mascheroni (; May 13, 1750 – July 14, 1800) was an Italian geometer and mathematician. Biography He was born near Bergamo, Lombardy. At first mainly interested in the humanities (poetry and Greek language), he eventually became professor of mathematics at Pavia. Contributions Mohr–Mascheroni Theorem In his work, ''Geometria del Compasso'' (Pavia, 1797), he proved that any geometrical construction which can be done with compass and straightedge, can also be done with compasses alone. However, the priority for this result (now known as the Mohr–Mascheroni theorem) belongs to the Dane Georg Mohr, who had previously published a proof in 1672 in an obscure book, '' Euclides Danicus''. In his ''Adnotationes ad calculum integralem Euleri'' (1790) he published a calculation of what is now known as the Euler–Mascheroni constant, usually denoted as (gamma). He died in Paris Paris () is the Capital city, capital and List of communes in France wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bergamo
Bergamo ( , ; ) is a city in the Alps, alpine Lombardy region of northern Italy, approximately northeast of Milan, and about from the alpine lakes Lake Como, Como and Lake Iseo, Iseo and 70 km (43 mi) from Lake Garda, Garda and Lake Maggiore, Maggiore. The Bergamo Alps () begin immediately north of the city. With a population of 120,580 as of 2025, Bergamo is the fourth-largest city in Lombardy. Bergamo is the seat of the province of Bergamo, which counts more than 1,115,037 residents as of 2025. The metropolitan area of Bergamo extends beyond the administrative city limits, spanning over a densely urbanized area with slightly fewer than 500,000 inhabitants. The Bergamo metropolitan area is itself part of the broader Milan metropolitan area, home to more than 8 million people. The city of Bergamo is composed of an old walled core, known as ('Upper Town'), nestled within a Parco dei Colli di Bergamo, system of hills, and the modern expansion in the plains below. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compass And Straightedge
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an Idealization (science philosophy), idealized ruler and a Compass (drawing tool), compass. The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it. The compass is assumed to have no maximum or minimum radius, and is assumed to "collapse" when lifted from the page, so it may not be directly used to transfer distances. (This is an unimportant restriction since, using a multi-step procedure, a distance can be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge might seem to be equivalent to marking it, the neusis construction is still impermissible and this is what unmarked really ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From The Province Of Bergamo
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determination, as i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1800 Deaths
As of March 1 ( O.S. February 18), when the Julian calendar acknowledged a leap day and the Gregorian calendar did not, the Julian calendar fell one day further behind, bringing the difference to 12 days until February 28 ( O.S. February 16), 1900. Events January–March * January 1 ** Quasi-War: Action of 1 January 1800 – A naval battle off the coast of Haiti, between four United States merchant vessels escorted by naval schooner , and a squadron of armed barges manned by Haitian pirates (known as picaroons), under the command of general André Rigaud, ends indecisively. ** The Dutch East India Company dissolves. * February 7 – A public plebiscite in France confirms Napoleon as First Consul, by a substantial majority. * February 11 – Infrared radiation is discovered by astronomer Sir William Herschel. * February 22 – The Baker rifle, designed by Ezekiel Baker, is selected by the British Board of Ordnance as a new standard. * March 14 &nd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1750 Births
Various sources, including the Intergovernmental Panel on Climate Change, use the year 1750 as a baseline year for the end of the pre-industrial era. 1750 is commemorated as the year that started the Industrial Revolution, although the underpinnings of the Industrial Revolution could have started earlier. Events January–March * January 13 – The Treaty of Madrid between Spain and Portugal authorizes a larger Brazil than had the Treaty of Tordesillas of 1494, which originally established the boundaries of the Portuguese and Spanish territories in South America. * January 24 – A fire in Istanbul destroys 10,000 homes. * February 15 – After Spain and Portugal agree that the Uruguay River will be the boundary line between the two kingdoms' territory in South America, the Spanish Governor orders the Jesuits to vacate seven Indian missions along the river (San Angel, San Nicolas, San Luis, San Lorenzo, San Miguel, San Juan and San Borja). * March 5 &nd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euler–Mascheroni Constant
Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by : \begin \gamma &= \lim_\left(-\log n + \sum_^n \frac1\right)\\ px&=\int_1^\infty\left(-\frac1x+\frac1\right)\,\mathrm dx. \end Here, represents the floor function. The numerical value of Euler's constant, to 50 decimal places, is: History The constant first appeared in a 1734 paper by the Swiss mathematician Leonhard Euler, titled ''De Progressionibus harmonicis observationes'' (Eneström Index 43), where he described it as "worthy of serious consideration". Euler initially calculated the constant's value to 6 decimal places. In 1781, he calculated it to 16 decimal places. Euler used the notations and for the constant. The Italian mathematician Lorenzo Mascheroni attempted to calculate the constant to 32 dec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclides Danicus
''Euclides Danicus'' (the Danish Euclid) is one of three books of mathematics written by Georg Mohr. It was published in 1672 simultaneously in Copenhagen and Amsterdam, in Danish and Dutch respectively. It contains the first proof of the Mohr–Mascheroni theorem, which states that every geometric construction that can be performed using a compass and straightedge can also be done with compass alone.. Contents The book is divided into two parts. In the first part, Mohr shows how to perform all of the constructions of Euclid's ''Elements'' using a compass alone. In the second part, he includes some other specific constructions, including some related to the mathematics of the sundial. 1928 rediscovery of the book ''Euclides Danicus'' languished in obscurity, possibly caused by its choice of language, until its rediscovery in 1928 in a bookshop in Copenhagen. Until then, the Mohr–Mascheroni theorem had been credited to Lorenzo Mascheroni, who published a proof in 1797, independ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Georg Mohr
Jørgen Mohr (Latinised ''Georg(ius) Mohr''; 1 April 1640 – 26 January 1697) was a Danish mathematician, known for being the first to prove the Mohr–Mascheroni theorem, which states that any geometric construction which can be done with compass and straightedge can also be done with compasses alone. Biography Mohr was born in Copenhagen, the son of a tradesman named David Mohrendal. Beginning in 1662 he traveled to the Netherlands, to study mathematics with Christiaan Huygens.. In 1672 he published his first book, ''Euclides Danicus'', simultaneously in Copenhagen and Amsterdam, in Danish and Dutch respectively. This book, proving the Mohr–Mascheroni theorem 125 years earlier than Lorenzo Mascheroni, would languish in obscurity until its rediscovery in 1928.. Mohr served in Franco-Dutch War in 1672–1673, and was taken prisoner by the French. By 1673, he had published his second book, ''Compendium Euclidis Curiosi''. A third book was later mentioned by Mohr's son; for ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Denmark
Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous administrative division, autonomous territories of the Faroe Islands and Greenland in the north Atlantic Ocean.* * * Metropolitan Denmark, also called "continental Denmark" or "Denmark proper", consists of the northern Jutland peninsula and an archipelago of 406 islands. It is the southernmost of the Scandinavian countries, lying southwest of Sweden, south of Norway, and north of Germany, with which it shares a short border. Denmark proper is situated between the North Sea to the west and the Baltic Sea to the east.The island of Bornholm is offset to the east of the rest of the country, in the Baltic Sea. The Kingdom of Denmark, including the Faroe Islands and Greenland, has roughly List of islands of Denmark, 1,400 islands greater than in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mohr–Mascheroni Theorem
In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. It must be understood that "any geometric construction" refers to figures that contain no straight lines, as it is clearly impossible to draw a straight line without a straightedge. It is understood that a line is determined provided that two distinct points on that line are given or constructed, even though no visual representation of the line will be present. The theorem can be stated more precisely as: : ''Any Euclidean construction, insofar as the given and required elements are points (or circles), may be completed with the compass alone if it can be completed with both the compass and the straightedge together.'' Though the use of a straightedge can make a construction significantly easier, the theorem shows that any set of points that fully defines a constructed figure can be determined with compass alon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mascheroni - Geometria Del Compasso, Anno V Della Repubblica Francese 1797 - 1415055
Mascheroni is a surname. Notable people with the surname include: * Adriano Mascheroni (died 1531), Italian Roman Catholic prelate *Angelo Mascheroni (1855–1905), Italian pianist composer, conductor, and music teacher *Carlo Mascheroni (born 1940), Italian equestrian *Edoardo Mascheroni (1852–1941), Italian composer and conductor * Ernesto Mascheroni (1907–1984), Uruguayan footballer *Fabio Mascheroni (born 1977), Italian long-distance runner *Lorenzo Mascheroni Lorenzo Mascheroni (; May 13, 1750 – July 14, 1800) was an Italian geometer and mathematician. Biography He was born near Bergamo, Lombardy. At first mainly interested in the humanities (poetry and Greek language), he eventually became profe ... (1750–1800), Italian mathematician * Marcelo Mascheroni (born 1959), Argentine field hockey player * Oliviero Mascheroni (born 1914), Italian football player {{surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Italy
Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land border, as well as List of islands of Italy, nearly 800 islands, notably Sicily and Sardinia. Italy shares land borders with France to the west; Switzerland and Austria to the north; Slovenia to the east; and the two enclaves of Vatican City and San Marino. It is the List of European countries by area, tenth-largest country in Europe by area, covering , and the third-most populous member state of the European Union, with nearly 59 million inhabitants. Italy's capital and List of cities in Italy, largest city is Rome; other major cities include Milan, Naples, Turin, Palermo, Bologna, Florence, Genoa, and Venice. The history of Italy goes back to numerous List of ancient peoples of Italy, Italic peoples—notably including the ancient Romans, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
