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Topic: Harmonice mundi

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	Schiller Institute Kepler Translations
		In the work known as Harmonice Mundi, the German scientist and mathematician, Johannes Kepler (1571-1630) presented to the world the culminating application to questions of astronomy of the method which he had defined in his first book (Mysterium Cosmographicum (1599).
		Many know of Harmonice Mundi as the work in which Kepler announced the third of his laws of planetary motion: the ratio of the cube of the (average) radius of the planet's orbit to the square of its periodic time is equal to a constant for all planets.
		Book I of Harmonice Mundi is the most difficult section to read, but provides the scientific language which Kepler will need throughout the rest of the work.
	www.schillerinstitute.org /transl/trans_kepler.html (2659 words)

	Johannes Kepler - Wikipedia, the free encyclopedia
		He is best known for his laws of planetary motion, based on his works Astronomia nova, Harmonice Mundi and the textbook Epitome of Copernican Astronomy.
		Through his career Kepler was a mathematics teacher at a Graz seminary school (later the University of Graz, Austria), an assistant to Tycho Brahe, court mathematician to Emperor Rudolf II, mathematics teacher in Linz, Austria, and court astrologer to General Wallenstein.
		The result, published in 1619 as Harmonices Mundi ("Harmony of the Worlds") contained the third law of planetary motion.
	en.wikipedia.org /wiki/Johannes_Kepler (3368 words)

	Johannes Kepler - Biography pt. 4
		In 1619, Kepler published "Harmonice Mundi", a 5 book set containing volumes geometry, the musical harmonies, the music of the spheres, and astrology, representing the culmination of Kepler's research into the structure of the universe in which he presented his third law.
		The "Harmonice Mundi", is considered by many to be Kepler's greatest achievement, while "Astronomia Nova" is considered his most important work in the field of astronomy.
		In "Harmonice Mundi", Kepler published the results of years of research on the "music of the spheres" which was based on his belief that the entire "Universe" was arranged in accordance to abstract notions of beauty and harmony.
	www.johanneskepler.com /johannes_kepler_bio_004.htm (420 words)

	Encyclopedia :: encyclopedia : Johannes Kepler (Site not responding. Last check: 2007-10-20)
		Kepler was a professor of mathematics at the University of Graz, court mathematician to Emperor Rudolf II, and court astrologer to General Wallenstein.
		There is some evidence this association was of ancient origin, as Plato tells of one Timaeus of Locri who thought of the Universe as being enveloped by a gigantic dodecahedron while the other four solids represent the "elements" of fire, air, earth, and water.
		To his disappointment, Kepler's attempts to fix the orbits of the planets within a set of polyhedrons never worked out, but it is a testimony to his integrity as a scientist that when the evidence mounted against the cherished theory he worked so hard to prove, he abandoned it.
	www.hallencyclopedia.com /Johannes_Kepler (2780 words)

	Johannes_Kepler
		He is best known for his laws of planetary motion, based on his Astronomia nova, Harmonice Mundi and the textbook Epitome of Copernican Astronomy.
		Through his career Kepler was a mathematics teacher at a Graz seminary school (later the University of Graz), an assistant to Tycho Brahe, court mathematician to Emperor Rudolf II, mathematics teacher in Linz, and court astrologer to General Wallenstein.
		Kepler, a crater on the Moon, and Kepler, a crater on Mars.
	www.brainyencyclopedia.com /encyclopedia/j/jo/johannes_kepler.html (3469 words)

	Musica universalis - Wikipedia, the free encyclopedia
		The spheres were thought to be related by the whole-number ratios of pure musical intervals, creating musical harmony.
		Johannes Kepler used the concept of the music of the spheres in his Harmonice Mundi in 1619, relating astrology (especially the astrological aspects) and harmonics.
		According to Max Heindel's Rosicrucian writings, the heavenly "music of the spheres" is heard in the Region of Concrete Thought, the lower region of the World of Thought, which is an ocean of harmony.
	en.wikipedia.org /wiki/Musica_universalis (433 words)

	SparkNotes: Johannes Kepler: The Third Law
		Like the Mysterium Cosmographicum, the Harmonice Mundi relied on a theory that was absolutely wrong.
		But his work in the Harmonice Mundi confirms that he was looking toward the future, asking the questions that none of his colleagues had thought to ask, and forging mathematical relationships where none had existed before.
		He was proud of the achievement of his harmonic universe – but he spared no pride for his formation of the third law.
	www.sparknotes.com /biography/kepler/section10.rhtml (838 words)

	The Galileo Project \| Science \| Johannes Kepler
		In this work Kepler demonstrated that the Christian calendar was in error by five years, and that Jesus had been born in 4 BC, a conclusion that is now universally accepted.
		Between 1617 and 1621 Kepler published Epitome Astronomiae Copernicanae ("Epitome of Copernican Astronomy"), which became the most influential introduction to heliocentric astronomy; in 1619 he published Harmonice Mundi ("Harmony of the World"), in which he derived the heliocentric distances of the planets and their periods from considerations of musical harmony.
		In this work we find his third law, relating the periods of the planets to their mean orbital radii.
	galileo.rice.edu /sci/kepler.html (1275 words)

	DISF - Dizionario Interdisciplinare di Scienza e Fede \| Kepler, Johannes (1571 - 1630)
		E questo non solo nelle sue opere mature, come nell’idealistica ricerca di una sintesi fra cristianesimo e neopitagorismo dell’Harmonice Mundi, ma anche nel suo giovanile Mysterium Cosmographicum, pubblicato quando aveva solo 24 anni d’età, col quale si proponeva di trovare il misterioso “perché” del numero, delle distanze e delle velocità dei pianeti del sistema solare.
		Nel 1619, dando vita ad una sintesi che veniva già maturando dal 1599, Keplero pubblicò finalmente l’Harmonices Mundi Libri V, un’opera che si può per molti versi considerare il suo testamento intellettuale e spirituale.
		Nell’Harmonice Mundi, pur mantenendo una chiara distinzione fra il credo cristiano e l’idolatria pagana, riprende l’Inno al Sole del platonico Proclo, sottolineando in esso l’idea di applicare al Sole (che per Keplero è solo “immagine” di Dio) l’origine di un armonico canto che si riversa nello spazio, permeandolo e dirigendone i moti (cfr.
	www.disf.org /Voci/27.asp (5897 words)

	Amazon.fr : The Music of the Heavens: Kepler's Harmonic Astronomy: Livres: Bruce Stephenson (Site not responding. Last check: 2007-10-20)
		Valued today for its development of the third law of planetary motion, Harmonice mundi (1619) was intended by Kepler to expand on ancient efforts to discern a Creator's plan for the planetary system--an arrangement thought to be based on harmonic relationships.
		Challenging critics who characterize Kepler's theories of harmonic astronomy as "mystical," Bruce Stephenson offers the first thorough technical analysis of the music the astronomer thought the heavens made, and the logic that led him to find musical patterns in his data.
		Devoting most of his attention to Book Five of Harmonice mundi, in which Kepler elaborated on the musical structure of the planetary system, Stephenson lays important groundwork for any further evaluation of Kepler's scientific thought.
	www.amazon.fr /exec/obidos/ASIN/0691034397 (365 words)

	Harmonices Mundi oddd.org (Site not responding. Last check: 2007-10-20)
		Harmonice Mundi (1619) is a book by Johannes Kepler.
		ISBN 1561591742 Harmonice Mundi Category:Physics books Category:History of astronomy
		You may redistribute it,verbatim or modified, providing that you comply with the terms of the GFDL.
	www.oddd.org /en/Harmonices+Mundi (6245 words)

	Renaissance Quarterly: The Music of the Heavens: Kepler's Harmonic Astronomy. (book reviews)@ HighBeam Research (Site not responding. Last check: 2007-10-20)
		Author: Rabin, Sheila J. The current volume is to some degree a companion piece to Stephenson's Kepler's Physical Astronomy (New York: Springer-Verlag, 1987), doing for book five of Kepler's Harmonice mundi what the earlier work did for his Astronomia nova.
		But the Harmonice mundi had a more ambitious aim than the Astronomia nova.
		In the Harmonice mundi Kepler meant to show how mathematics, music, astrology, and astronomy fit harmonically into the...
	www.highbeam.com /doc/1G1:20602548/(book+reviews).html?refid=ency_botnm (179 words)

	Kepler's Harmonices Mundi
		Solar Physicists : Kepler > Kepler's Harmonices Mundi
		Title page of Kepler's Harmony of the World (Harmonices Mundi).
		The book was completed in the spring of 1618 and finally published in Linz in 1619.
	www.hao.ucar.edu /Public/education/bios/kepler.2.html (118 words)

	Harmony Software Project
		No, since it could only be a cosmological issue, and nowadays a cosmologist's open-mindedness is so vast that all of harmonice mundi would be like a teardrop in the ocean of possibilities.
		As far as Kepler goes, Harmonice Mundi has been completely translated into English, but not every reader finds within it a recipe for making such a world.
		Instead, what is found is evidence of study in dissimilar disciplines and a desire to illuminate a common principle among them—a harmony in the abstract.
	harmony.sourceforge.net (591 words)

	Johannes Kepler's Polyhedra
		Kepler's logical approach to polyhedra does not mean that he was free of the mysticism of the day.
		The following illustration, from his 1619 book, Harmonice Mundi, graphically shows the Platonic associations of the regular solids with the classical elements: The tetrahedron corresponds to fire, the octahedron to air, the cube to earth, the icosahedron to water, and the dodecahedron to the cosmos or ether:
		In, Harmonice Mundi, Kepler also defined the class of convex uniform polyhedra which we call the Archimedean solids, unfamiliar with the fact that Archimedes had defined the class already.
	www.georgehart.com /virtual-polyhedra/kepler.html (612 words)

	Amazon.com: "harmonice mundi": Key Phrase page (Site not responding. Last check: 2007-10-20)
		See all pages with references to "harmonice mundi".
		She is contributing to the translation of Kepler's Harmonice mundi with Eric Aiton and Alastair Duncan.
		Kepler famously claimed in his book Harmonice mundi, that people on earth could hear the music of the stars.
	amazon.com /phrase/harmonice-mundi (349 words)

	Renaissance Astronomy
		Copernican system with stars spread out toward infinity.
		Tycho Brahe, De mundi aetherei recentioribus phaenomenis, 1588.
		The great observer had the Sun revolve around the Earth, carrying the other planets around it.
	www.everythingintheuniv.com /renaissance_astronomy.htm (445 words)

	Johannes Kepler Encyclopedia Article @ LaunchBase.net (Launch Base) (Site not responding. Last check: 2007-10-20)
		However, she was subjected to territio verbalis, a graphic description of the torture awaiting her as a witch, in a final attempt to make her confess.
		The Kepler Solids, a set of geometrical constructions, two of which were described by him.
		Local Cache Updated: Fri Aug 25 00:33:40 2006
	www.launchbase.net /encyclopedia/Johannes_Kepler (2867 words)

	Johannes Kepler - Scientists - German Archive: Johannes Kepler (December 27, 1571 û November 15, 1630), a key figure ...
		See more articles that relate to this subject:
		Throughout the trial, Kepler postponed his other work (on the Rudolphine Tables and a multi-volume astronomy textbook) to focus on his 'harmonic theory'.
		The result, published in 1619 as Harmonices Mundi ('Harmony of the Worlds') contained the third law of planetary motion.
	germannotes.com /archive/article.php?products_id=234&... (1640 words)

	Harmonia Mundi : Ottaviano dei Petrucci: Harmonice Musices Odhecaton
		Harmonia Mundi : Ottaviano dei Petrucci: Harmonice Musices Odhecaton
		Music : Harmonia Mundi : Ottaviano dei Petrucci: Harmonice Musices Odhecaton
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	theone.ru /Shop/B00005OB20.html (238 words)

	[No title]
		TRANS_it: A discourse on temporality and the nomadic condition
		Network Planet Ensemble - Johannes Kepler "Harmonice Mundi"
		The Telepathic Motion Picture of THE LOST TRIBES
	www.web3dart.org /ctxt5.php?sid=1249&lid=1 (284 words)

	Amours amours amours
		Mabriano de Orto, Harmonice Musices Odhecaton A, Venice (O. Petrucci 1501)
		Heinrich Isaac: Hans Newsidler, Harmonice Musices Odhecaton A, Venice (O. Petrucci 1501) and Ein Newgeordent Künstlich Lautenbuc (Johannes Petreius)
		[19], [28] Harmonia mundi HMX 290 8172 [CD] La naissance d'un répertoire spécifiquement instrumental / The birth of a specifically instrumental repertory (1450-1659) - L'émergence de la musique instrumentale / The Rise of Instrumental Music.
	www.medieval.org /emfaq/cds/hmu5253.htm (377 words)

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