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Topic: Lorenzo Mascheroni

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	Mascheroni biography
		Mascheroni was educated with the aim of becoming a priest and he was ordained at the age of 17.
		Mascheroni was appointed as a deputy in the governing legislative assembly in Milan in 1797.
		Mascheroni was unable to return to Milan due to the war and the Austrian occupation of the city in 1799.
	www-history.mcs.st-andrews.ac.uk /Biographies/Mascheroni.html (832 words)

	Lorenzo Mascheroni
		Lorenzo Mascheroni (1750 - 1800) was an Italian mathematician, born near Bergamo, Italy.
		At first mainly interested in the humanities (poetry and Greek language), he eventually became professor of mathematics at Pavia.
		In his Adnotationes ad calculum integrale Euleri (1790) he published a calculation of what is now known as the Euler-Mascheroni constant.
	www.ebroadcast.com.au /lookup/encyclopedia/lo/Lorenzo_Mascheroni.html (100 words)

	Cabri - Cabri World 1999 - Anais
		Mohr in 1672 and Mascheroni in 1797 proved the fundamental theorem according to which every ruler and compass construction can be made using only the compass.
		The starting point of Mascheroni’s work is the following: every problem in elementary geometry can be reduced to determining points, since a line is given when two of its points are known and a circle is given when its center and a point are given.
		The constructions made above following Mascheroni’s hints are correct "static" figures; but, in order to be correct Cabri figures and to become the starting point for the definition of macros, they must pass the dragging test.
	www.cabri.com.br /pesquisas/c99_anais/pa/pa_boieri.htm (808 words)

	Mascheroni.htm
		Mascheroni's work shows a deep understanding of the Euler's calculus.
		Mascheroni is also known as a poet and he dedicated one of his books Geometria
		In this work Mascheroni proved that all Euclidean constructions can be made with compasses alone, so a straight edge in not needed.
	www.cse.ohio-state.edu /~brinkmei/math/Mascheroni.htm (106 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-08-09)
		Mascheroni was ordained as a priest at the age of 17.
		Mascheroni is also known as a poet and he dedicated one of his books Geometria del compasso (1797) to Napoleon in verse.
		In fact this was (unknown to Mascheroni) proved in 1672 by a little known Danish mathematician Georg Mohr.
	mathforum.org /library/drmath/view/52495.html (284 words)

	Mascheroni Lorenzo - Risultati della ricerca - MSN Encarta (Site not responding. Last check: 2007-08-09)
		Mascheroni Lorenzo - Risultati della ricerca - MSN Encarta
		Mascheroni, Lorenzo (Castagneto, Bergamo 1750 - Parigi 1800), scienziato e poeta italiano.
		Lorenzo Monaco Soprannome di Pietro di Giovanni (Siena 1370 ca.
	it.encarta.msn.com /Mascheroni_Lorenzo.html (73 words)

	Lorenzo Mascheroni - LoveToKnow 1911 (Site not responding. Last check: 2007-08-09)
		LORENZO MASCHERONI (1750-1800), Italian geometer, was professor of mathematics at the university of Pavia, and published a variety of mathematical works, the best known of which is his Geometria del compasso (Pavia, 1797), a collection of geometrical constructions in which the use of the circle alone is postulated.
		There is a French translation by A. Carette (Paris, 1798), who also wrote a biography of Mascheroni.
		This page was last modified 12:51, 18 May 2006.
	www.1911encyclopedia.org /Lorenzo_Mascheroni (90 words)

	Mascheroni
		Lorenzo Mascheroni was ordained as a priest at the age of 17.
		In 1786 Mascheroni became professor of algebra and geometry at the University of Pavia.
		In fact this was (unknown to Mascheroni) proved in 1672 by a little known Danish mathematician Georg
	www.educ.fc.ul.pt /icm/icm2003/icm14/Mascheroni.htm (160 words)

	Georg Mohr
		Although the book was included in bibliographies of mathematics, nobody troubled to examine it, and it was totally overlooked for 250 years.
		The result was instead credited to the Italian Lorenzo Mascheroni, who independently delivered a proof a hundred years later (1797).
		Only in 1928, when a young student of mathematics found a copy in a second-hand bookshop in Copenhagen, did Mohr's achievement gain recognition.
	www.ebroadcast.com.au /lookup/encyclopedia/ge/Georg_Mohr.html (261 words)

	[No title] (Site not responding. Last check: 2007-08-09)
		Mascheroni showed in [1] (although he was anticipated by Georg Mohr in 1672) that all Euclidean constructions can be performed by use of the compass alone [taking a line to have been "constructed" if two distinct points on it have been].
		Steiner showed in [2] that all Euclidean contructions can be performed by use of the straightedge alone, provided one fixed circle and its centre are provided [again, taking a circle to have been "contructed" if its centre and a point on its circumference have been].
		[1] Lorenzo Mascheroni (1750-1800) "La geometria del compasso" Pavia, 1797 [2] Jacob Steiner (1796-1863) "Die geometrischen Konstructionen, ausgef\"uhrt mittelst der geraden Linie und eines festen Kreises, als Lehrgegenstand auf h\"oheren Unterrichts-Anstalten und zur praktischen Benutzung" Berlin, 1833 [3] Detlef Cauer Math.
	www.math.niu.edu /~rusin/known-math/95/ruler-compass (353 words)

	Lorenzo Mascheroni (Site not responding. Last check: 2007-08-09)
		E' legato al nome di Napoleone un teorema che appartiene ad un'opera di Lorenzo Mascheroni, La geometria del compasso (Pavia, Galeazzi, 1797), in cui tutte le costruzioni della geometria euclidea sono realizzati senza la riga e con l'uso del solo compasso, ossia fanno intervenire al posto della retta e del cerchio, il solo cerchio.
		Lorenzo Mascheroni, membro della Commissione per la Costituzione della Repubblica Cisalpina mentre redigeva La geometria del compasso, comunicò a Napoleone, che era molto interessato alla matematica, diversi suoi risultati.
		Il generale, tornato in Francia, fece sfoggio di queste conoscenze geometriche in una riunione presso il Ministro degli Interni davanti a Lagrange e Laplace, che sembra aver commentato: "Tutto ci aspettavamo da lei generale, tranne che una lezione di matematica".
	web.unife.it /progetti/matematicainsieme/dopoeu/mascher.htm (521 words)

	The Euler constant gamma (Site not responding. Last check: 2007-08-09)
		is probably due to the geometer Lorenzo Mascheroni (1750-1800) who used it in 1790 while Euler used the letter C).
		But, a few years later, in 1809, Johann von Soldner (1766-1833) found a value of the constant which was in agreement only with the first 19 decimal places of Mascheroni's calculation...
		Mascheroni computed 32 decimal places, but only 19 were correct.
	algolist.manual.ru /maths/count_fast/gamma.php (1093 words)

	Structurae [en]: Sinopoli, Anna "The role of geometry in the theories on vaulted structures by Lorenzo Mascheroni ...
		Structurae [en]: Sinopoli, Anna "The role of geometry in the theories on vaulted structures by Lorenzo Mascheroni (1785)"
		Literature / Sinopoli, Anna "The role of geometry in the theories on vaulted structures by Lorenzo Mascheroni (1785)"
		The role of geometry in the theories on vaulted structures by Lorenzo Mascheroni (1785)
	en.structurae.de /refs/items/index.cfm?ID=r0004662 (82 words)

	Lorenzo Mascheroni \| Science and Its Times: 1700-1799
		Although only 19 places were correct, his approach helped advance understanding of Euler's calculus.
		Mascheroni taught algebra and geometry in Pavia, where he was ordained as a priest.
		He also proved that all Euclidean shapes and objects can be constructed using only a compass, a discovery that was first made in 1672 by the relatively unknown Dutch mathematician Georg Mohr.
	www.bookrags.com /research/lorenzo-mascheroni-scit-04123 (89 words)

	Geometric construction with the compass alone
		The assertion that every ruler-and-compass construction could be accomplished with a compass is due to Lorenzo Mascheroni (1750-1800) and appeared in his 1797 tractate The Geometry of Compasses.
		Inspired by Mascheroni's result, Jacob Steiner (1796-1863) tried to prove a similar result for a straightedge instead of a compass.
		With regard to the Mascheroni's result, instead of checking every single construction in the plane we agree that such constructions can be accomplished with a sequence of the four basic ones:
	www.cut-the-knot.org /do_you_know/compass.shtml (753 words)

	Constructions Using Only a Compass (Site not responding. Last check: 2007-08-09)
		Two points determine a line and that is all that is necessary to construct.
		This amazing fact was discovered in 1797 by the Italian geometer Lorenzo Mascheroni.
		It contained Mascheroni's result with a different proof and it was published in 1625.) It was noted last week that every construction is just a series of steps that involve four operations.
	mathcircle.berkeley.edu /BMC3/constr2/node4.html (208 words)

	Lorenzo - Wikipedia, the free encyclopedia
		Lorenzo Music (1937-2001), an actor who provided the voice of Garfield
		Lorenzo da Firenze, Italian composer and music teacher of the trecento
		He was the first to be treated with Lorenzo's oil.
	en.wikipedia.org /wiki/Lorenzo (144 words)

	[No title]
		is probably due to the geometer Lorenzo Mascheroni (1750-1800) who used it in 1790 while Euler used the letter C. The constant
		The question of its irrationality has challenged mathematicians since Euler and remains a famous unresolved problem.
		Integral and series formulae for the Euler constant can be found in Collection of formulae for the Euler constant.
	numbers.computation.free.fr /Constants/Gamma/gamma.html (1154 words)

	Zirkelkonstruktionen des Mascheroni - Geometria del compasso (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-08-09)
		Doch dann wartete Lorenzo Mascheroni mit einer Sensation auf, die die gesamte mathematische Welt überraschte.
		1786 wurde Mascheroni Professor für Algebra und Geometrie an der Universität von Pavia.
		Mascheronis Arbeit beweist ein tiefes Verständnis von Eulers Rechnungsart.
	www.oliver-bieri.ch.cob-web.org:8888 /mascheroni/mascheroni_geometria.htm (281 words)

	Earliest Uses of Symbols for Constants (Site not responding. Last check: 2007-08-09)
		In the paper, Glaisher does not specify where Mascheroni used the symbol, but seems to imply it is in Adnotationes ad Euleri Calculum Integralem, which Glaisher indicates in a footnote is a work he has not seen but which is referred to in volume 3 of Lacroix's Differential and Integral Calculus.
		Ernst Pascal retained Mascheroni's notation A in 1900 (Cajori vol.
		A note in a memoir by Gauss which contained the results of Nicolai's calculation apparently attracted little attention and Mascheroni's value was repeatedly quoted thereafter (Glaisher).
	members.aol.com /jeff570/constants.html (3926 words)

	A Generalization of Napoleon's Theorem
		As emperor, he instituted a number of juridical, economical and educational reforms and placed men such as Laplace, Monge and Fourier in government positions with the commission to establish new educational institutions, recruit teachers and revamp the curriculum to emphasize maths.
		As his career began to rise, he continued his study of maths and he assembled a group of mathematicians, including Lorenzo Mascheroni (1750-1800), Pierre Simon Laplace and Joseph Louis Lagrange (1736-1813), to discuss mathematics.
		Napoleon was most proud of having solved one of Mascheroni's problems, the construction of a circle into fourths.
	mathsforeurope.digibel.be /Napoleon2.html (1143 words)

	A short elementary proof of the Mohr-Mascheroni Theorem (ResearchIndex)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		Abstract: Introduction In 1797 Lorenzo Mascheroni surprised the mathematical world with the theorem that every geometric construction that can be carried out by compasses and ruler may be done without ruler (see [1]).
		The proofs given by Mohr and Mascheroni are quite complicated.
	citeseer.ist.psu.edu /232593.html (298 words)

	Hotels, bed and breakfast and apartments booking - Bergamo Hotels
		Piazza Lorenzo Mascheroni, 9/A Bergamo 24129 - BG - Italy
		Located in the historical medieval centre of Bergamo “Città Alta”, but easily reachable by car, the Hotel San Lorenzo proposes itself to the guests in a very comfortable location.
		Place for ideal stay for who wish to enjoy the atmosphere of a typical medieval Italian village.
	www.bergamo-hotels.com /eng/booking/detail.asp?IDStruttura=267 (140 words)

	Earliest Uses of Symbols for Constants
		171) it says that Mascheroni has denoted the Euler's constant 0.577...
		According to my research, this author designated it by letter "A".
		In 1790, Lorenzo Mascheroni (1750-1800; see the sources page) calculated Euler's constant to 32 decimal places:
	www.veling.nl /anne/templars/constants.html (2144 words)

	Math Forum: Internet Math Hunt (Site not responding. Last check: 2007-08-09)
		Solutions should consist of three things: What you found, the URL where you found it, and how you found that page.
		Lorenzo Mascheroni made a really cool geometry discovery.
		What is Cartesian geometry and for whom is it named?
	mathforum.org /hunt/oct95.html (101 words)

	Bergamo: Hotel San Lorenzo - Traveler Reviews - The Bells.... - TripAdvisor
		Bergamo: Hotel San Lorenzo - Traveler Reviews - The Bells....
		We'll send you updates with the latest deals, reviews and articles for Hotel San Lorenzo and Bergamo each week.
		Hotel San Lorenzo - very good in so many ways.
	tripadvisor.com /ShowUserReviews-g187830-d494834-r3498080-Hotel_San_Lorenzo... (596 words)

	MathsNet: Geometric Construction Course: Mascheroni circle only constructs
		MathsNet: Geometric Construction Course: Mascheroni circle only constructs
		In 1797 an Italian geometer, Lorenzo Mascheroni, proved that every compass-and-straightedge construction can be done with a compass alone.
		Some of the harder solutions are based on Martin Gardner's Mathematical Circus - see Sources.
	www.mathsnet.net /campus/construction/circleonly.html (69 words)

	UniBg - Mathematics, Statistics, Computing and Applications : Introduction
		Home > Departments > Mathematics, Statistics, Computing and Applications: Introduction
		"Lorenzo Mascheroni" Department of Mathematics, Statistics, Computing and Applications
		Address: via dei Caniana 2 24127 - Bergamo
	www.unibg.it /struttura/en_struttura.asp?cerca=en_dmsia (121 words)

	Planar Curves - Numericana
		All constructible points can be obtained with the compass alone.
		This statement about classical planar geometry used to be credited to Lorenzo Mascheroni (1750-1800) who proved it in Geometria del compasso (1797).
		However, 125 years earlier, the Danish mathematician Georg Mohr (1640-1697) had published anonymously a book entitled Euclides Danicus (1672) which contains a prior proof...
	home.att.net /~numericana/answer/curve.htm (3746 words)

	Amazon.com: "Alessandro Volta": Key Phrase page (Site not responding. Last check: 2007-08-09)
		between 1776 and 1796 Chairs were given to Giovanni Antonio Scopoli (1723-1788), for che- mistry and botany; Alessandro Volta (1745-1827) for experimental physics; Anto- nio Scarpa (1752-1832), for anatomy and surgery, Lorenzo Mascheroni (1750- 1801) for algebra and geometry;...
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		Key Phrases in this book: University of Coimbra, Royal Society, Ottoman Empire, Board of Surveyors, Royal Acad, Teodoro de Almeida, tecnologica tra, storia linguistica italiana, mal del segno, new scientific ideas, storia delle scienze, della lingua italiana (See more)
	www.amazon.com /phrase/Alessandro-Volta (652 words)

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