Alphonse Antonio De Sarasa
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Alphonse Antonio De Sarasa
Alphonse Antonio de Sarasa, SJ was a Jesuit mathematician who contributed to the understanding of logarithms, particularly as areas under a hyperbola. Biography Alphonse de Sarasa was born in 1618, in Nieuwpoort in Flanders. In 1632 he was admitted as a novice in Ghent. It was there that he worked alongside Gregoire de Saint-Vincent whose ideas he developed, exploited, and promulgated. According to Sommervogel, Alphonse de Sarasa also held academic positions in Antwerp and Brussels. In 1649 Alphonse de Sarasa published ''Solutio problematis a R.P. Marino Mersenne Minimo propositi''. This book was in response to Marin Mersenne's pamphlet "Reflexiones Physico-mathematicae" which reviewed Saint-Vincent's ''Opus Geometricum'' and posed this challenge: : Given three arbitrary magnitudes, rational or irrational, and given the logarithms of the two, to find the logarithm of the third geometrically. R.P. BurnR. P. Burn (2001) "Alphonse Antonio de Sarasa and Logarithms", Historia M ...
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Geometric Progression
A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed number called the ''common ratio''. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with a common ratio of 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with a common ratio of 1/2. Examples of a geometric sequence are powers ''r''''k'' of a fixed non-zero number ''r'', such as 2''k'' and 3''k''. The general form of a geometric sequence is :a,\ ar,\ ar^2,\ ar^3,\ ar^4,\ \ldots where ''r'' is the common ratio and ''a'' is the initial value. The sum of a geometric progression's terms is called a '' geometric series''. Properties The ''n''th term of a geometric sequence with initial value ''a'' = ''a''1 and common ratio ''r'' is given by :a_n = a\,r^, and in general :a_n = a_m\,r^. Geometric sequences satisfy the linear recurrence relation :a_n = r\,a_ f ...
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Logarithms
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of to base is , because is to the rd power: . More generally, if , then is the logarithm of to base , written , so . As a single-variable function, the logarithm to base is the inverse of exponentiation with base . The logarithm base is called the ''decimal'' or ''common'' logarithm and is commonly used in science and engineering. The ''natural'' logarithm has the number  as its base; its use is widespread in mathematics and physics because of its very simple derivative. The ''binary'' logarithm uses base and is widely used in computer science, information theory, music theory, and photography. When the base is unambiguous from the context or irrelevant it is often omitted, and the logarithm is written . Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations. ...
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Mathematicians From The Spanish Netherlands
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria ( – 415). She succeed ...
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1667 Deaths
Events January–March * January 11 – Aurangzeb, monarch of the Mughal Empire, orders the removal of Rao Karan Singh as Maharaja of the Bikaner State (part of the modern-day Rajasthan state of India) because of Karan's dereliction of duty in battle. * January 19 – The town of Anzonico in Switzerland is destroyed by an avalanche. * January 27 – The 2,000 seat Opernhaus am Taschenberg, a theater in Dresden (capital of the Electorate of Saxony) opens with its first production, Pietro Ziani's opera ''Il teseo''. * February 5 – In the Second Anglo-Dutch War, the English Royal Navy warship HMS ''Saint Patrick'' is captured less than nine months after being launched, when it fights a battle off the coast of England and North Foreland, Kent. Captain Robert Saunders and 8 of his crew are killed while fighting the Dutch ships ''Delft'' and ''Shakerlo''. The Dutch Navy renames the ship the ''Zwanenburg''. * February 6 (January 27 O.S.) – ...
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1618 Births
Events January–March * January 6 **Jahangir, ruler of the Mughal Empire in northern India, gives an audience for the first time to a representative of the British East India Company, receiving Sir Thomas Roe at the capital at Ahmedabad. **Ben Jonson's play ''Pleasure Reconciled to Virtue'' is given its premiere performance, presented at the Palace of Whitehall in London. * January 28 – Rules are established for the Ōoku, the section of Edo Castle that housed the Shōgun's consort and his concubines. * February 18 – Jeong In-hong becomes the new Chief State Councillor (the ''Yeonguijeong'', similar to a Prime Minister) of the Joseon Kingdom in what is now North Korea, after being appointed by the Emperor Gwanghaegun. * February 26 – Osman II deposes his uncle Mustafa I as Ottoman sultan (until 1622). * March 8 – Johannes Kepler discovers the third law of planetary motion (after some initial calculations, he soon rejects the idea, but on ...
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Jesuits From The Spanish Netherlands
The Society of Jesus (; abbreviation: S.J. or SJ), also known as the Jesuit Order or the Jesuits ( ; ), is a religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rome. It was founded in 1540 by Ignatius of Loyola and six companions, with the approval of Pope Paul III. The Society of Jesus is the largest religious order in the Catholic Church and has played significant role in education, charity, humanitarian acts and global policies. The Society of Jesus is engaged in evangelization and apostolic ministry in 112 countries. Jesuits work in education, research, and cultural pursuits. They also conduct retreats, minister in hospitals and parishes, sponsor direct social and humanitarian works, and promote ecumenical dialogue. The Society of Jesus is consecrated under the patronage of Madonna della Strada, a title of the Blessed Virgin Mary, and it is led by a superior general. The headquarters of the society, its general curia, i ...
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List Of Roman Catholic Scientist-clerics
A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, but lists are frequently written down on paper, or maintained electronically. Lists are "most frequently a tool", and "one does not ''read'' but only ''uses'' a list: one looks up the relevant information in it, but usually does not need to deal with it as a whole".Lucie Doležalová,The Potential and Limitations of Studying Lists, in Lucie Doležalová, ed., ''The Charm of a List: From the Sumerians to Computerised Data Processing'' (2009). Purpose It has been observed that, with a few exceptions, "the scholarship on lists remains fragmented". David Wallechinsky, a co-author of '' The Book of Lists'', described the attraction of lists as being "because we live in an era of overstimulation, especially in terms of information, and lists help us ...
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Jacob Van Meurs
Jacob van Meurs (1619/1620 - c. 1680) was a Dutch engraver and publisher from Amsterdam. His works are in the National Gallery of Art and the National Portrait Gallery National Portrait Gallery may refer to: * National Portrait Gallery (Australia), in Canberra * National Portrait Gallery (Sweden), in Mariefred *National Portrait Gallery (United States), in Washington, D.C. *National Portrait Gallery, London .... Active from 1651 to 1680, he specialized in works of geography, travelogues, and history. He published the first version of ''The New and Unknown World: or Description of America and the Southland'' which was printed in Dutch and included 125 copper engravings. References External links * {{DEFAULTSORT:van Meurs, Jacob 1610s births 1680 deaths Engravers from Amsterdam ...
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Moritz Cantor
Moritz Benedikt Cantor (23 August 1829 – 10 April 1920) was a German historian of mathematics. Biography Cantor was born at Mannheim. He came from a Sephardi Jewish family that had emigrated to the Netherlands from Portugal, another branch of which had established itself in Russia. In his early youth, Moritz Cantor was not strong enough to go to school, and his parents decided to educate him at home. Later, however, he was admitted to an advanced class of the Gymnasium in Mannheim. From there he went to the University of Heidelberg in 1848, and soon after to the University of Göttingen, where he studied under Gauss and Weber, and where Stern awakened in him a strong interest in historical research. After obtaining his PhD at the University of Heidelberg in 1851, he went to Berlin, where he eagerly followed the lectures of Peter Gustav Lejeune Dirichlet; and upon his return to Heidelberg in 1853, he was appointed privat-docent at the university. In 1863, he was promoted ...
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Arithmetic Progression
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a_1 and the common difference of successive members is d, then the n-th term of the sequence (a_n) is given by :a_n = a_1 + (n - 1)d. A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. History According to an anecdote of uncertain reliability, in primary school Carl Friedrich Gauss reinvented the formula \tfrac for summing the integers from 1 through n, for the case n=100, by grouping t ...
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Jesuit
The Society of Jesus (; abbreviation: S.J. or SJ), also known as the Jesuit Order or the Jesuits ( ; ), is a religious order (Catholic), religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rome. It was founded in 1540 by Ignatius of Loyola and six companions, with the approval of Pope Paul III. The Society of Jesus is the largest religious order in the Catholic Church and has played significant role in education, charity, humanitarian acts and global policies. The Society of Jesus is engaged in evangelization and apostolic ministry in 112 countries. Jesuits work in education, research, and cultural pursuits. They also conduct retreats, minister in hospitals and parishes, sponsor direct social and humanitarian works, and promote Ecumenism, ecumenical dialogue. The Society of Jesus is consecrated under the patron saint, patronage of Madonna della Strada, a title of the Blessed Virgin Mary, and it is led by a Superior General of ...
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