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Topic: De motu corporum in gyrum

	De motu corporum in gyrum - Wikipedia, the free encyclopedia
		De motu corporum in gyrum (On the motion of bodies in an orbit) is a manuscript by Isaac Newton sent to Edmund Halley in November 1684.
		It derived the three laws of Kepler assuming an inverse square law of force, and generalized the answer to conic sections.
		In addition he added to this last version an explicit hypothesis about an absolute frame of reference, with respect to which the motion of bodies could be determined: this in spite of already undermining this notion by the above Law 3.
	en.wikipedia.org /wiki/De_motu_corporum_in_gyrum (537 words)

	Science_1684
		De Motu is an extraordinary work which tied together not only Kepler's three laws of celestial mechanics, but also three laws of terrestrial mechanics: the laws of free fall, parabolic trajectory, and inertia.
		Newton's De Motu can be seen as having significantly advanced the evidential status for the laws of free fall and parabolic trajectory (and to a lesser extent the law of inertia) both by tying all three together and by offering as a hypothesis a single cause from which all three laws would follow.
		Finally, De Motu may be seen as marking the beginning of the inclusion of resistance and resisting forces in the science of dynamics.
	www.yellowpigs.net /philosophy/science_1684 (2271 words)

	Leibniz - Dynamica de Potentia - Sectio tertia
		Quodsi corpora progressum ex consentiente mutent in contrarium vel contra, summa quantitatum motus in progressu consentiente aequabitur differentiae earundem in progressu contrario, secundum easdem scilicet utrobi parallelas in quibus contrarietas sumitur.
		Interim legum praecedentium beneficio natura nihilominus ejusdem potentiae absolutae conservationem consequitur, quae a composito motu aestimatur.
		Etsi in navi motu recto progrediente nec succussiones patiente ludas motus ludicari, eadem phaenomena experiere quae in terra.
	chemistry.unina.it /~avitabil/leiblat.htm (4458 words)

	Newton, Isaac - Hutchinson encyclopedia article about Newton, Isaac (Site not responding. Last check: 2007-10-11)
		Newton investigated many other optical phenomena, including thin-film interference effects, one of which, Newton's rings, is named after him.
		De motu corporum in gyrum/On the Motion of Bodies in Orbit was written in 1684.
		The publication of the Principia was financed by his friend Edmond Halley.
	encyclopedia.farlex.com /Newton,%20Isaac (931 words)

	Philosophiae Naturalis Principia Mathematica (Site not responding. Last check: 2007-10-11)
		The structure was completed when Johannes Kepler wrote the book Astronomia nova (A new astronomy) in 1609, setting out the evidence that planets move in elliptical orbits with the sun at one focus, and that planets do not move with constant speed along this orbit.
		In November 1684, Halley received a treatise of nine pages from Newton called De motu corporum in gyrum (On the motion of bodies in an orbit).
		De motu corporum (On the motion of bodies) is a mathematical exposition of calculus followed by statements of basic dynamical definitions and the primary deductions based on these.
	www.athertoncaus.com /section/Philosophiae_Naturalis_Principia_Mathematica (2745 words)

	Isaac Newton - Encyclopedia, History, Geography and Biography
		In 1679, Newton returned to his work on mechanics, i.e., gravitation and its effect on the orbits of planets, with reference to Kepler's laws of motion, and consulting with Hooke and Flamsteed on the subject.
		He acquired a circle of admirers, including the Swiss-born mathematician Nicolas Fatio de Duillier, with whom he formed an intense relationship that lasted until 1693.
		Newton was made President of the Royal Society in 1703 and an associate of the French Académie des Sciences.
	www.arikah.net /encyclopedia/Isaac_Newton (5259 words)

	Orbits
		He also won the Académie des Sciences of 1766 for work on the orbits of the moons of Jupiter where he gave a mathematical analysis to explain an observed inequality in the sequence of eclipses of the moons.
		The Académie des Sciences Prize of 1772 for work on the orbit of the Moon was jointly won by Lagrange and Euler.
		Laplace read a memoir to the Académie des Sciences on 23 November 1785 in which he gave a theoretical explanation of all the remaining major discrepancies between theory and observation of all the planets and their moons excluding Uranus.
	www-history.mcs.st-and.ac.uk /~history/PrintHT/Orbits.html (4347 words)

	Encyclopedia :: encyclopedia : Isaac Newton (Site not responding. Last check: 2007-10-11)
		In the same year he circulated his findings in De Analysi per Aequationes Numeri Terminorum Infinitas (On Analysis by Infinite Series), and later in De methodis serierum et fluxionum (On the Methods of Series and Fluxions), whose title gave the name to his "method of fluxions".
		Newton is generally credited as the discoverer of the binomial theorem, an essential step toward the development of modern analysis.
		In his position at the Royal Society, Newton made an enemy of John Flamsteed, the Astronomer Royal, by attempting to steal his catalogue of observations.
	www.hallencyclopedia.com /Isaac_Newton (4954 words)

	Search Results for Newton
		According to de Moivre, Newton's interest in mathematics began in the autumn of 1663 when he bought an astrology book at a fair in Cambridge and found that he could not understand the mathematics in it.
		Newton's De Methodis Serierum et Fluxionum was written in 1671 but Newton failed to get it published and it did not appear in print until John Colson produced an English translation in 1736.
		By 1692 de Moivre had got to know Halley, who was at this time assistant secretary of the Royal Society, and soon after that he met Newton and became friendly with him.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Newton&CONTEXT=1 (16673 words)

	Gresham College \| Search Lectures & Events
		In 1669 Newton produced De Analysi, an important mathematical treatise which he circulated to his friends but did not publish.
		It is most unfortunate that this was never published, as well see, as it could have prevented the priority disputes on the origin of the calculus.
		Newton set to work and produced his De Motu Corporum in Gyrum (On the motion of bodies in an orbit) in late 1684.
	www.gresham.ac.uk /event.asp?PageId=4&EventId=66 (4393 words)

	Aspects of Astronomy
		Several classifications for galaxies were proposed early in their study; Hubble's classification system has proven remarkably robust, correlating well with physically interesting measurements such as stellar content, gas content, and environment despite being designed only to describe the appearance of the galaxy as seen on photographs with blue-sensitive emulsions.
		Elliptical galaxies were denoted by the letter E and a number describing the galaxy's apparent shape - 0 for a completely round form, 5 for one twice as long as wide, and 7 for the apparently flattest genuine ellipticals.
		Gerard de Vaucouleurs introduced distinctions depending on whether the spiral structure proceeds from the nucleus in an S-shape (s) or from an inner ring (r), or some combination (rs) or (sr).
	www.terra.es /personal/rubenlop/misc/aspects.htm (22716 words)

	Everything about 1684 (Site not responding. Last check: 2007-10-11)
		He irritated the king still more that same year by abolishing the much abused right of asylum, by which the foreign ambassadors at Rome had been able to harbor in their embassies any criminal who was wanted by the papal court of justice.
		Innocent notified the new French ambassador, Marquis de Lavardin, that he would not be recognized as ambassador in Rome unless he renounced this right, but Louis XIV would not give it up.
		The eastern part was ruled by the Russian tsar as a Congress Kingdom, and possessed a liberal constitution.
	220.tt.wikimiki.org /en/1684 (10382 words)

	The Confessions of Saint Augustine, book 10
		`confessionum mearum libri tredecim et de malis et de bonis meis deum laudant iustum et bonum, atque in eum excitant humanum intellectum et affectum.
		Il est un acte de l'esprit,--non certes un acte immobile, comme serait celui de la pensée séparée, mais un acte réel, formé par la superposition d'une tension et d'une détente.
		`de quibus multis eligit quisque pro voluntate quo fruatur per oculorum sensum; et alius altitudinem montis alicuius libenter intuetur, et eo gaudet aspectu, alius campi planitiem, alius convexa vallium, alius nemorum viriditatem, alius mobilem aequalitatem maris, alius haec omnia, vel quaedam horum simul pulchra confert ad laetitiam videndi.'
	www.georgetown.edu /faculty/jod/conf/comm10.html (10117 words)

	Nothingandall: On this day in History - Dec. 10
		Aqui fala-se de vida, amor, morte, poesia, política, futebol, solidão, paz, humor, musica...tudo e nada; Here we talk about life, love, death, poetry, politics, soccer, solitude, peace, humour, music...nothing and all.
		1958 - Floriano Peixoto was born in Rio de Janeiro.
		Actor, director, and writer who is best known for his film adaptations of Shakespearean plays and for his magnetic and often whimsical performances.
	nothingandall.blogspot.com /2005/12/on-this-day-in-history-dec-10_10.html (1852 words)

	The Confessions of Saint Augustine, book 5
		A year or two have elapsed (at 4.15.27, he says he was 26 or 27 then, now he is 28).
		de quibus dicit alio loco scriptura: “fideli homini mundus totus divitiarum est.” audi et ipsum confitentem, quasi nihil habentes et omnia possidentes.
		The interpretation that fits all the evidence is that A.'s association with the Manichees began during 373 at Carthage, and that Faustus came sometime early in the year 383; nine full years he spent as a wholehearted enthusiast before his doubts took command at the time of Faustus's visit.
	www.stoa.org /hippo/comm5.html (9418 words)

	HALLEY ENGLISH (Site not responding. Last check: 2007-10-11)
		Claiming to have lost them, Newton did not communicate the precious calculations to Halley but in November 1684, as a short treaty named "De motu corporum in gyrum" (Of the movement of the bodies in orbits).
		Clariaut and Lalande, on November 14, 1758, were able to announce to the Académie des Sciences that the comet, delayed by 618 days (518 by the action of Jupiter, 100 by the one of Saturn) in comparison with its previous revolution period, would pass to the perihelia in mid-April 1759.
		After some fears, when the comet did not parish at the calculated in 1982, the kernel, then situated to 11UA from Sun, was observed with a visual magnitude of 24 to 9 seconds of arc only, of the position calculated by the astrometry team of Don Yéomans.
	www.eso.org /outreach/eduoff/edu-prog/catchastar/CAS2002/cas-projects/france_halley_1 (4864 words)

	Orbital mechanics (Site not responding. Last check: 2007-10-11)
		In spite of the demands of Newton in the aforesaid quotation, it had in the fact proven east result in 1680 like a direct result of the letters of Hooke.
		Neutonio returned to work its test and sent in fact a nine corporum of page to paper Of motu in gyrum (in the movement of bodies in an orbit) to Halley.
		The discussion on a name lead to Him Verrier that resigned of the length of the DES of the office and Arago lost possible its battle on the name that was accepted like Neptune.
	orbital.loadmp3music.com /orbital-mechanics.htm (4765 words)

	Natural and Violent Motions
		Interestingly, Ernst Mach regarded the third law as Newton's most important contribution to mechanics, even though other's have criticized it as being more a definition than a law.
		Newton’s struggle to find the "right" axiomatization of mechanics can be seen by reading the preliminary works he wrote leading up to The Principia, such as "De motu corporum in gyrum" (On the motion of bodies in an orbit).
		At one point he conceived of a system with five Laws of Motion, but what finally appeared in Principia were eight Definitions followed by three Laws.
	www.mathpages.com /rr/s3-02/3-02.htm (2854 words)

	Science Made Cool: December 2005
		It was called De Motu Corporum in Gyrum, by a reclusive Cambridge mathematician named Isaac Newton.
		Newton's paper explained Kepler's laws of planetary motion in terms of a theory of gravity, in which gravitational attraction drops off in an inverse-square relationship.
		Having satisfied his own curiosity about gravity and the motion of the planets, he proceeded to sit on his results for nearly twenty years until Halley began the process of mining Newton's brain.
	www.sciencemadecool.com /2005/12 (3479 words)

	Gresham College \| Lectures & Events
		His book De revolutionibus orbium coelestium [On the revolution of the heavenly spheres] was published in 1543 and a copy of it was presented to him on his death-bed.
		Pierre de Fermat made spectacular advances in number theory and analytic geometry, although he did not publish his results.
		Gilles Personne de Roberval solved a famous problem involving a popular curve of the time – the cycloid: this is the curve traced out by a spot of mud on a bicycle tyre as the bicycle is wheeled along, and takes the shape of an arch.
	www.gresham.ac.uk /event.asp?PageId=45&EventId=385 (4230 words)

	NOVA \| Newton's Dark Secrets \| Birth of a Masterpiece \| PBS
		What Halley did not know was that Newton had solved the problem of the elliptical orbit by employing a different mathematical method than before, but he was not satisfied.
		Halley was astounded, for he held in his hands the mathematical seeds of a general science of dynamics—the study of the relationship between motion and the forces that affect it.
		Halley's report was duly recorded in the minutes, and he was urged to push Newton to publish his little work as soon as possible.
	www.pbs.org /wgbh/nova/newton/principia.html (1716 words)

	December 10 - QuickSeek Encyclopedia (Site not responding. Last check: 2007-10-11)
		decembar ca:10 de desembre ceb:Disyembre 10 cv:Раштав, 10 co:10 di decembre cs:10.
		detsember el:10 Δεκεμβρίου es:10 de diciembre eo:10-a de decembro eu:Abenduaren 10 fo:10.
		desember oc:10 de decembre pl:10 grudnia pt:10 de Dezembro ro:10 decembrie ru:10 декабря se:Juovlamánu 10.
	10december.quickseek.com (1334 words)

	Isaac Newton Encyclopedia @ 209.68.55.246 () (Site not responding. Last check: 2007-10-11)
		For example, he invented calculus 30 years before he told anyone else about it.
		The end of this friendship led Newton to a nervous breakdown.
		Delambre, M. "Notice sur la vie et les ouvrages de M. le comte J. Lagrange," in Oeuvres de Lagrange, I. Paris, 1867, p.
	209.68.55.246 /encyclopedia/Isaac_Newton (4057 words)

	Principia: Preliminaries
		Halley, excited, urged him to send the demonstration to him as soon as he could.
		The first version Newton sent was a nine-page document entitled De motu corporum in gyrum (On the Motion of Bodies in Orbit), submitted to the Royal Society in November 1684.
		It not only demonstrated the planetary ellipses but also showed how all of Kepler's laws may be seen as consequences of physical forces.
	www.greenlion.com /pr-prsec1.html (2066 words)

	sas newton
		In the event, he had to re-do it and produced not one, but two, equally valid alternative proofs, which he sent to Halley in November 1684.
		Halley’s visit was the stimulus which rekindled Newton’s interest in the problem of gravity and the laws of motion, to such an extent that he prepared and gave a series of nine lectures On the Motion of Bodies in an orbit (De Motu Corporum in gyrum) in Cambridge in the Michaelmas Term 1684.
		Meanwhile Halley was so excited by the two proofs when he received them in November that he went back to Cambridge in December to persuade Newton to publish them.
	www.self-knowledge.org /archives/sasnewton.htm (2097 words)

	Sawf : Shakespeare, Newton, and Beethoven, or Patterns of Creativity - Part Two
		By October, he had worked out enough problems to serve as a basis for nine lectures which he gave during the Michaelmas term under the title De Motu Corporum in gyrum.
		I believe that Newton could hold a problem in his mind for hours and days and weeks until it surrendered to him its secret.
		So happy in his conjectures as to seem to know more than he could possibly have any means of proving.
	www.sawf.org /bin/tips.dll/gettip?user=Sawf&class=EZine&tipid=2772&pn=Contributors&arch=1 (5348 words)

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