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	Bonaventura Cavalieri - Wikipedia, the free encyclopedia
		Bonaventura Francesco Cavalieri (in Latin, Cavalerius) (1598–November 30, 1647) was an Italian mathematician best known today for Cavalieri's principle, which states that the volumes of two objects are equal if the areas of corresponding cross-sections are in all cases equal.
		Born in Milan, Cavalieri studied theology in the monastery of San Gerolamo in Milan and geometry at the University of Pisa.
		Cavalieri constructed a hydraulic pump for his monastery and published tables of logs, emphasizing their practical use in the fields of astronomy and geography.
	en.wikipedia.org /wiki/Bonaventura_Cavalieri (257 words)

	Bonaventura Cavalieri
		Cavalieri was one of the leading mathematicians of his time, and is celebrated for his "Method of Indivisibles", to which he was led by his investigations on the determination of areas and volumes.
		Cavalieri published an account of his method in 1635 in his "Goemetria indivisibilibus continuorum novâ quâdam ratione promota".
		This statement was attacked, especially by Guldinus, as being unscientific, and in 1647 in his "Exercitationes Geometricæ sex", Cavalieri endeavours to put it into better form, and answer the objections of his critics.
	www.catholicity.com /encyclopedia/c/cavalieri,bonaventure.html (363 words)

	Bonaventura Cavalieri (Site not responding. Last check: 2007-11-06)
		Bonaventura Cavalieri (1598 - 1647) was an Italian mathematician whose legacy includes early work on logarithm s and geometry, including the rule known today as Cavalieri's principle.
		Cavalieri's principle states that the volume s of two objects are equal if the areas of corresponding cross-sections are in all cases equal.
		Bonaventura Cavalieri was born in Milan in 1598, became a Jesuat (not a Jesuit, as is frequently incorrectly stated) at the age of fifteen, studied under...
	www.serebella.com /encyclopedia/article-Bonaventura_Cavalieri.html (606 words)

	Bonaventure (Site not responding. Last check: 2007-11-06)
		Saint Bonaventura, John of Fidanza, Franciscan theologian, was born in 1221 at Bagnarea in Tuscany.
		Bonaventura's character seems not unworthy of the eulogistic title, "Doctor Seraphicus," bestowed on him by his contemporaries, and of the place assigned to him by Dante in his Paradiso.
		Bonaventura, however, is not merely a meditative thinker, whose works may form good manuals of devotion; he is a dogma tic theologian of high rank, and on all the disputed questions of scholastic thought, such as universals, matter, the principle of individualism, or the intellectus agens, he gives weighty and well-reasoned decisions.
	www.serebella.com /encyclopedia/article-Bonaventure.html (2009 words)

	mielec2.html
		Bonaventura Francesco Cavalieri was born in 1598 in Milan.
		Cavalieri's Principle is a method for computing the volume of solid regions, much like the present-day integration (except Cavalieri's Principle is not as systematic as integration).
		Cavalieri went on and said that you could infinitely slice each slice in which each volume of the new slices of S and S, could be added together so the two solids have the same volume.
	www.ms.uky.edu /~carl/ma330/project2/mielec21.html (1022 words)

	Bonaventura Cavalieri (1598 - 1647)
		Bonaventura Cavalieri was born at Milan in 1598, and died at Bologna on November 27, 1647.
		I have already mentioned Cavalieri's name in connection with the introduction of the use of logarithms into Italy, and have alluded to his discovery of the expression for the area of a spherical triangle in terms of the spherical excess.
		In his early enunciation of the principle in 1635 Cavalieri asserted that a line was made up of an infinite number of points (each without magnitude), a surface of infinite number of lines (each without breadth), and a volume of an infinite number of surfaces (each without thickness).
	www.maths.tcd.ie /pub/HistMath/People/Cavalieri/RouseBall/RB_Cavalieri.html (914 words)

	Cavalieri Hilton
		Born Natalina Cavalieri in Viterbo, Latium, Italy, she lost her parents at the age of fifteen and became a ward of the state, sent to live in a Roman Catholic orphanage.
		Cavalieri was born in Rome of an aristocratic and musical family.
		Cavalieri may have gotten some of his ideas for monody directly from Bardi, since Cavalieri was not a member of the Camerata during its period of activity a few years earlier.
	www.artistbooking.com /trips/33/cavalieri-hilton.html (863 words)

	Bonaventura Cavalieri (1598-1647), allievo di Galileo e professore in un liceo di Bologna, fu influenzato da Keplero e ... (Site not responding. Last check: 2007-11-06)
		Bonaventura Cavalieri (1598-1647), allievo di Galileo e professore in un liceo di Bologna, fu influenzato da Keplero e da Galileo e spinto da quest’ultimo a occuparsi dei problemi del calcolo infinitesimale.
		Cavalieri sviluppò le idee di Galileo e di altri sugli indivisibili incorporandole in un metodo geometrico e pubblicò un’opera sull’argomento intitolata “Geometria indivisibilibus continuorum nova quadam ratione promota” (1635).
		Cavalieri aveva successo nell’ottenere risultati corretti perché applicava il suo principio al calcolo di rapporti di aree e di volumi in cui il rapporto degli indivisibili che li costituiscono era costante.
	www.matematicadivertente.com /Cavalieri.htm (463 words)

	Cavalieri (Site not responding. Last check: 2007-11-06)
		In Pisa, Cavalieri was taught mathematics by Benedetto Castelli, a lecturer in mathematics at the University of Pisa.
		Cavalieri applied for the chair of mathematics in Bologna in 1619 but was not successful since he was considered too young for a position of this seniority.
		In 1629 Cavalieri was appointed to the chair of mathematics at Bologna but by this time he had already developed a method of indivisibles which became a factor in the development of the integral calculus.
	202.38.126.65 /mirror/www-history.mcs.st-and.ac.uk/history/Mathematicians/Cavalieri.html (543 words)

	The Galileo Project \| Science \| Bonaventura Cavalieri
		In 1620 Cavalieri was recalled to Milan, where he became a deacon to (and protégé of) Cardinal Federigo Borromeo.
		Cavalieri regarded an area as made up of an indefinite number of equidistant parallel line segments and a volume of an indefinite number of parallel plane areas.
		Cavalieri's work was an important step toward the calculus, developed later in the seventeenth century by others, chiefly Isaac Newton and Gottfried Wilhelm Leibniz.
	galileo.rice.edu /sci/cavalieri.html (362 words)

	Bonaventura Cavalieri - Wikipedia
		Bonaventura Francesco Cavalieri (* 1598 wahrscheinlich in Mailand; † 3.
		Bonaventura Cavalieri arbeitete auf dem Gebiet der Geometrie und lehrte in Bologna.
		Regel von Cavalieri: Beide Körper haben das gleiche Volumen.
	de.wikipedia.org /wiki/Bonaventura_Cavalieri (246 words)

	The Galileo Project
		His view of the indivisibles gave mathematicians a deeper conception of sets: it is not necessary that the elements of a set be assigned or assignable; rather it suffices that a precise criterion exist for determining whether or not an element belongs to the set.
		Cavalieri dedicated a table of logs to the Senate of Bologna in 1632 when he was greatly concerned about his re- appointment--which then immediately followed.
		Cavalieri emphasized the practical use of logs (which he introduced into Italy) for various studies such as astronomy and geography.
	galileo.rice.edu /Catalog/NewFiles/cavaleri.html (901 words)

	Bonaventura Cavalieri History Summary (Site not responding. Last check: 2007-11-06)
		Cavalieri's true first name is not known: Bonaventura was a religious name adopted when he joined a monastery at age 17.
		Cavalieri became a devoted protegee of the latter, and sent him more than a hundred letters over the course of the years that followed.
		Cavalieri was still only 23 years old when he received ordination as a deacon under Cardinal Federigo Borromeo (1564-1631).
	www.bookrags.com /history/sciencehistory/bonaventura-cavalieri-scit-03123 (592 words)

	matematicos
		Cavalieri fue nominado para una cátedra de matemáticas en Bologna en 1619 pero no fue muy exitoso debido a que fue considerado muy joven para ese puesto que requería de antiguedad.
		Cavalieri también fracasó al postular a una cátedra de matemáticas en Pisa cuando Castelli abandonó Roma.
		Cavalieri mantuvo correspondencia con otros matemáticos incluyendo a Galileo, Merssene, Renieri, Rocca, Torricelli y Viviani.
	www.mat.usach.cl /histmat/html/cava.html (588 words)

	Bonaventura Cavalieri Biography / Biography of Bonaventura Cavalieri World of Mathematics Biography
		Bonaventura Cavalieri refined early Greek work on the concept of indivisibles.
		Cavalieri was born in Milan, Italy, in 1598.
		Cavalieri entered the Jesuatis (a Roman Catholic order founded on the rule of St. Augustine and not to be confused with the Jesuits or Society of Jesus) and took minor orders in 1615 at a monastery in Milan.
	www.bookrags.com /biography-bonaventura-cavalieri-wom (268 words)

	Encyclopaedia Britannica entry (Site not responding. Last check: 2007-11-06)
		As a boy Cavalieri joined the Jesuati, a religious order (sometimes called "Apostolic Clerics of St. Jerome") that followed the rule of St. Augustine and was suppressed in 1668 by Pope Clement IX.
		By 1629, when he was appointed professor of mathematics of the University of Bologna, Cavalieri had completely developed his method of indivisibles, a means of determining the size of geometric figures similar to the methods of integral calculus.
		Cavalieri was largely responsible for introducing the use of logarithms as a computational tool in Italy through his book Directorium Generale Uranometricum (1632; "A General Directory of Uranometry").
	www.aam314.vzz.net /EB/Cavalieri.html (272 words)

	[No title]
		Kepler's methods of integration, for such they must be called, were the origin of Bonaventura Cavalieri's theory of Cava- the summation of indivisibles.
		It is possible to contend that Cavalieri did not himself hold the unsound doctrine, but his writing on this point is rather obscure.
		By this method Cavalieri was able to effect numerous integrations relating to the areas of portions of conic sections and the volumes generated by the revolution of these portions about various axes.
	encyclopedia.jrank.org /correction/edit?locale=en&content_id=26807 (11012 words)

	Cavalieri (Site not responding. Last check: 2007-11-06)
		Bonaventura Francesco Cavalieri (in Latin, Cavalerius) (1598November 30, 1647) was an Italian...
		of indivisibles, and was the invention of Cavalieri.
		Cavalieri's Principle -- from MathWorld Cavalieri's Principle -- from MathWorld If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes...
	catholicmedals.iglucatholic.com /cavalierishf (814 words)

	Museo della Specola, Bologna - Storia cap. 10 (Site not responding. Last check: 2007-11-06)
		10 - The impact of Galilean culture - From Bonaventura Cavalieri to Gian Domenico Cassini.
		The successor of Magini was the Milanese Jesuit Bonaventura Cavalieri (1598-1647), one of Galileo’s friend.
		In 1650 Bonaventura Cavalieri was succeeded by the Ligurian Gian Domenico Cassini (1625-1712) from Perinaldo, invited by the marquis Cornelio Malvasia (1603-1664) to visit his observatory at Panzano - near Modena, but today unfortunately destroyed - and introduced by him to the Bolognese scene.
	www.bo.astro.it /dip/Museum/english/sto1_10.html (1643 words)

	Cavalieri Family Crest
		The surname Cavalieri came from Cavallaro, which means a horse dealer.
		Cavalieri and Cavalier, mean a horseman, rider or knight.
		In the Cavalieri coat of arms as in all coat of arms the crest is only one element of the full armorial achievement.
	www.houseofnames.com /xq/asp.fc/qx/cavalieri-family-crest.htm (616 words)

	References for Cavalieri (Site not responding. Last check: 2007-11-06)
		P E Ariotti, Bonaventura Cavalieri, Marin Mersenne, and the reflecting telescope, Isis 66 (1975), 303-321.
		G Baroncelli, Bonaventura Cavalieri between mathematics and physics (Italian), in Geometry and atomism in the Galilean school (Florence, 1992), 67-101.
		E Ulivi, The sources of Bonaventura Cavalieri : the construction of conics until 'The burning-glass' (1632) (Italian), Boll.
	www-groups.dcs.st-andrews.ac.uk /~history/References/Cavalieri.html (322 words)

	Martayan Lan Rare Books (Site not responding. Last check: 2007-11-06)
		The work first appeared in 1682 under a slightly different title, though as the collation of the body of the texts are identical, it may be fairer to call the present edition a second issue.
		According to Meschini in DBI, the work is principally by Cavalieri, and Davisi should probably be considered an involved editor.
		(Comparison of the translation with the Latin manuscript indicates the relative contributions of Cavalieri and Davisi.) The title is of interest for showing how the single greatest mathematician during the second half of Galileo’s lifetime responded to the Copernican dilemma: the evidence is mixed.
	martayanlan.com /cgi-bin/display.cgi/Books/recent/28/1289/1264?start=5 (330 words)

	Bagni - Le figure simili
		Nel primo libro, e in una porzione del secondo, incomincia il Cavalieri a trattare di quelle quantità, in cui tutti gli elementi analoghi hanno tra loro la stessa proporzione.
		Cavalieri non fu il primo a formulare il principio che viene ricordato con il suo nome.
		Interessante è notare che Cavalieri sottintende in forma velata ed implicita l’impiego di un sistema di coordinate.
	xoomer.virgilio.it /gbagni/Le%20figure%20simili%20nella%20Geometria%20degli%20Indivisibili.htm (4060 words)

	Storia dell'Universita' di Bologna (Site not responding. Last check: 2007-11-06)
		At an early age Bonaventura Cavalieri (1598-1647) joined the Jesuit order and later studied Mathematics at Pisa, where he met Galileo, who had a considerable influence on his scientific thinking.
		Galileo considered Cavalieri to be one of the leading mathematicians of his day, and it was with his support that Cavalieri became reader in Bologna in 1629.
		Cavalieri's claim to fame is his Geometria indivisibilus continuorum nova quadam ratione promota (1635).
	www3.unibo.it /avl/english/biogr/bio11.htm (92 words)

	Cavalieri - Wikipedia, the free encyclopedia
		Cavalieri is a name shared by two people:
		Emilio de' Cavalieri, (1550–1602), Italian composer of the late Renaissance
		Cavalieri is also an Italian honor equivalent to a knighthood.
	en.wikipedia.org /wiki/Cavalieri (101 words)

	Bonaventura Francesco Cavalieri (Site not responding. Last check: 2007-11-06)
		Bonaventura Francesco Cavalieri wurde 1598 in Mailand geboren und starb am 30.11.1647 in Bologna.
		Seine glänzende Fortschritte erregten Aufsehen, und 1619 wurde ihm vertretungsweise eine Professur in Pisa übertragen.
		Neben den angeführten Werken sind auch astronomische Schriften und ausgezeichnete trigonometrische Tafeln von Cavalieri bekannt.
	www.mathe.tu-freiberg.de /~hebisch/cafe/cavalieri.html (153 words)

	Cavalieri - Detaillierte Informationen (Site not responding. Last check: 2007-11-06)
		Bonaventura Cavalieri joined the religious order Jesuati in Milan in 1615 while he was still a boy.
		Bonaventura Cavalieri (1598 - 1647) Bonaventura Cavalieri was born at Milan in 1598, and died at Bologna on November 27...
		It was first stated by Cavalieri in 1629, but he did not publish his...
	cavalieri.detaillierte-informationen.de (293 words)

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