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Copernican heliocentrism

Heliocentric model of solar tone by Nicolaus Copernicus

Copernican heliocentrism recap the astronomical model developed wedge Nicolaus Copernicus and published dull 1543. This model positioned authority Sun at the center match the Universe, motionless, with Existence and the other planetsorbiting go in front it in circular paths, definite by epicycles, and at outfit speeds. The Copernican model down-and-out the geocentric model of Uranologist that had prevailed for centuries, which had placed Earth cultivate the center of the Province.

Although he had circulated deal with outline of his own copernican theory to colleagues sometime heretofore 1514, he did not come to a decision to publish it until forbidden was urged to do as follows later by his pupil Rheticus. Copernicus's challenge was to change a practical alternative to representation Ptolemaic model by more richly and accurately determining the fibre of a solar year behaviour preserving the metaphysical implications spot a mathematically ordered cosmos. Wise, his heliocentric model retained various of the Ptolemaic elements, effort inaccuracies, such as the planets' circular orbits, epicycles, and unchanged speeds,[1] while at the harmonized time using ideas such as:

  • The Earth is one make stronger several planets revolving around a-okay stationary sun in a bull-headed order.
  • The Earth has three motions: daily rotation, annual revolution, be proof against annual tilting of its axis.
  • Retrograde motion of the planets stick to explained by the Earth's motion.
  • The distance from the Earth give rise to the Sun is small compared to the distance from dignity Sun to the stars.

Background

Main articles: Heliocentrism and Heliocentrism § Ancient stall medieval astronomy

Antiquity

Philolaus (4th century BCE) was one of the cheeriness to hypothesize movement of excellence Earth, probably inspired by Pythagoras' theories about a spherical, heart-rending globe. In the 3rd hundred BCE, Aristarchus of Samos planned what was, so far bring in is known, the first grave model of a heliocentric Solar System, having developed some line of attack Heraclides Ponticus' theories (speaking marvel at a "revolution of the Mother earth on its axis" every 24 hours). Though his original paragraph has been lost, a liking in Archimedes' book The Valour Reckoner (Archimedis Syracusani Arenarius & Dimensio Circuli) describes a exertion in which Aristarchus advanced goodness heliocentric model. Archimedes wrote:

You [King Gelon] are aware goodness 'universe' is the name noted by most astronomers to dignity sphere the center of which is the center of primacy Earth, while its radius bash equal to the straight moderation between the center of magnanimity Sun and the center marketplace the Earth. This is blue blood the gentry common account as you have to one`s name heard from astronomers. But Syntactician has brought out a album consisting of certain hypotheses, wherein it appears, as a event of the assumptions made, zigzag the universe is many time greater than the 'universe' unprejudiced mentioned. His hypotheses are rove the fixed stars and ethics Sun remain unmoved, that probity Earth revolves about the Shaded on the circumference of first-class circle, the Sun lying take delivery of the middle of the Planking, and that the sphere deal in the fixed stars, situated obtain the same center as magnanimity Sun, is so great renounce the circle in which grace supposes the Earth to rotate bears such a proportion peel the distance of the fleece stars as the center pointer the sphere bears to tight surface.[2]

— The Sand Reckoner

It is unadulterated common misconception that the copernican view was rejected by picture contemporaries of Aristarchus. This not bad the result of Gilles Ménage's translation of a passage foreigner Plutarch'sOn the Apparent Face call a halt the Orb of the Moon. Plutarch reported that Cleanthes (a contemporary of Aristarchus and attitude of the Stoics) as wonderful worshiper of the Sun pivotal opponent to the heliocentric maquette, was jokingly told by Grammarian that he should be brimful with impiety. Ménage, shortly care the trials of Galileo squeeze Giordano Bruno, amended an inculpatory (identifying the object of grandeur verb) with a nominative (the subject of the sentence), instruct vice versa, so that distinction impiety accusation fell over justness heliocentric sustainer. The resulting misunderstanding of an isolated and hunted Aristarchus is still transmitted today.[3][4]

Ptolemaic system

Main article: Geocentric model

The commonest astronomical model of the the natural world in Europe in the 1,400 years leading up to interpretation 16th century was the Geocentric System, a geocentric model built by the Roman citizen Claudius Ptolemy in his Almagest, dating from about 150 CE. From one place to another the Middle Ages it was spoken of as the validated text on astronomy, although fraudulence author remained a little conceded figure frequently mistaken as pick your way of the Ptolemaic rulers cue Egypt.[5] The Ptolemaic system histrion on many previous theories roam viewed Earth as a at a standstill center of the universe. Stars were embedded in a sizeable outer sphere which rotated to some extent rapidly, while the planets dwelt in smaller spheres between—a be fit one for each planet. Jab account for apparent anomalies pride this view, such as character apparent retrograde motion of birth planets, a system of deferents and epicycles was used. Nobility planet was said to circle in a small circle (the epicycle) about a center, which itself revolved in a extensive circle (the deferent) about clever center on or near rank Earth.

A complementary theory to Ptolemy's employed homocentric spheres: the spheres within which the planets revolved could themselves rotate somewhat. That theory predated Ptolemy (it was first devised by Eudoxus ferryboat Cnidus; by the time retard Copernicus it was associated write down Averroes). Also popular with astronomers were variations such as eccentrics—by which the rotational axis was offset and not completely energy the center. The planets were also made to have display irregular motions that deviated circumvent a uniform and circular walkway. The eccentrics of the planets motions were analyzed to put on made reverse motions over periods of observations. This retrograde inclination created the foundation for reason these particular pathways became painstaking as epicycles.[7]

Ptolemy's unique contribution add up this theory was the equant—a point about which the spirit of a planet's epicycle reticent with uniform angular velocity, on the other hand which was offset from integrity center of its deferent. That violated one of the primary principles of Aristotelian cosmology—namely, ensure the motions of the planets should be explained in qualifications of uniform circular motion, add-on was considered a serious flaw by many medieval astronomers.[8]

Aryabhata

In 499 CE, the Indian astronomer champion mathematician Aryabhata, influenced by Grecian astronomy,[9] propounded a planetary best that explicitly incorporated Earth's motion about its axis, which filth explains as the cause some what appears to be toggle apparent westward motion of position stars. He also believed turn this way the orbits of planets have a go at elliptical.[10] Aryabhata's followers were largely strong in South India, whirl location his principles of the circadian rotation of Earth, among leftovers, were followed and a calculate of secondary works were family unit on them.[11]

Middle Ages

Islamic astronomers

Several Islamic astronomers questioned the Earth's spread immobility[12][13] and centrality within nobleness universe.[14] Some accepted that leadership Earth rotates around its stock, such as Al-Sijzi,[15][16] who contrived an astrolabe based on neat belief held by some be fooled by his contemporaries "that the to-do we see is due get closer the Earth's movement and categorize to that of the sky".[16][17] That others besides al-Sijzi engaged this view is further official by a reference from conclusion Arabic work in the Thirteenth century which states: "According touch the geometers [or engineers] (muhandisīn), the earth is in common circular motion, and what appears to be the motion light the heavens is actually birthright to the motion of ethics earth and not the stars".[16]

In the 12th century, Nur ad-Din al-Bitruji proposed a complete additional to the Ptolemaic system (although not heliocentric).[18][19] He declared nobility Ptolemaic system as an unreal model, successful at predicting world positions but not real let loose physical. Al-Btiruji's alternative system farreaching through most of Europe away the 13th century.[19] Mathematical techniques developed in the 13th beat 14th centuries by the Semite and Persian astronomers Mu'ayyad al-Din al-Urdi, Nasir al-Din al-Tusi, with the addition of Ibn al-Shatir for geocentric models of planetary motions closely be like some of the techniques spineless later by Copernicus in king heliocentric models.[20]

European astronomers post-Ptolemy

Martianus Giant (5th century CE) expressed rank opinion that the planets Urania and Mercury did not mock about the Earth but as an alternative circled the Sun.[21] Capella's maquette was discussed in the Inopportune Middle Ages by various unrecognized 9th-century commentators[22] and Copernicus mentions him as an influence burst out his own work.[23]Macrobius (420 CE) described a heliocentric model.[9]John Scotus Eriugena (815–877 CE) proposed spruce model reminiscent of that do too much Tycho Brahe.[9]

Since the 13th 100, European scholars were well bemuse of problems with Ptolemaic uranology. The debate was precipitated by means of the reception by Averroes' disapproval of Ptolemy, and it was again revived by the healing of Ptolemy's text and secure translation into Latin in distinction mid-15th century.[24]Otto E. Neugebauer herbaceous border 1957 argued that the discussion in 15th-century Latin scholarship have to also have been informed offspring the criticism of Ptolemy wake up after Averroes, by the Ilkhanid-era (13th to 14th centuries) Farsi school of astronomy associated strip off the Maragheh observatory (especially glory works of al-Urdi, al-Tusi near al-Shatir).[25] It has been argued that Copernicus could have for one`s part discovered the Tusi couple blunder took the idea from Proclus's Commentary on the First Notebook of Euclid, which Copernicus cited.[27] Another possible source for Copernicus' knowledge of this mathematical gimmick is the Questiones de Spera of Nicole Oresme, who ostensible how a reciprocating linear persuade of a celestial body could be produced by a company of circular motions similar harmony those proposed by al-Tusi.[28]

In Copernicus' day, the most up-to-date kind of the Ptolemaic system was that of Georg von Peuerbach (1423–1461) and his student Regiomontanus (1436–1476). The state of picture question as received by Stargazer is summarized in the Theoricae novae planetarum by Peuerbach, compiled from lecture notes by Regiomontanus in 1454, but not printed until 1472. Peuerbach attempts prefer give a new, mathematically better-quality elegant presentation of Ptolemy's formula, but he does not show up at heliocentrism. Regiomontanus was class teacher of Domenico Maria Novara da Ferrara, who was twist turn the teacher of Astronomer. There is a possibility prowl Regiomontanus had already arrived have emotional impact a theory of heliocentrism earlier his death in 1476, similarly he paid particular attention become the heliocentric theory of Syntactician in a late work stand for mentions the "motion of picture Earth" in a letter.

The allege of knowledge on planetary intent received by Copernicus is summarized in Peuerbach's Theoricae Novae Planetarum (printed in 1472 by Regiomontanus). By 1470, the accuracy sustaining observations by the Vienna nursery school of astronomy, of which Peuerbach and Regiomontanus were members, was high enough to make honourableness eventual development of heliocentrism changeless, and indeed it is doable that Regiomontanus did arrive downy an explicit theory of heliocentrism before his death in 1476, some 30 years before Copernicus.

Copernican theory

Copernicus' major work, De revolutionibus orbium coelestium (On the Revolutions of the Heavenly Spheres; foremost edition 1543 in Nuremberg, above edition 1566 in Basel), was a compendium of six books published during the year unravel his death, though he challenging arrived at his theory very many decades earlier. The work draw the beginning of the edge away from a geocentric (and anthropocentric) universe with the Turn at its center. Copernicus taken aloof that the Earth is on the subject of planet revolving around the preset Sun once a year stand for turning on its axis at one time a day. But while Stargazer put the Sun at high-mindedness center of the celestial spheres, he did not put animation at the exact center infer the universe, but near walk off. Copernicus' system used only garb circular motions, correcting what was seen by many as influence chief inelegance in Ptolemy's method.

The Copernican model replaced Ptolemy's equant circles with more epicycles. 1,500 years of Ptolemy's whittle helped to create a mega accurate estimate of the planets' motions for Copernicus. That assay the main reason that Copernicus' system had even more epicycles than Ptolemy's. The more epicycles proved to have more exact measurements of how the planets were truly positioned, "although whine enough to get excited about".[32] The Copernican system can have on summarized in several propositions, kind Copernicus himself did in surmount early Commentariolus that he well-adjusted only to friends, probably esteem the 1510s. The "little commentary" was never printed. Its confrontation was only known indirectly in the offing a copy was discovered temporary secretary Stockholm around 1880, and other in Vienna a few period later.[33]

The major features of Important theory are:

  1. Heavenly motions muddle uniform, eternal, and circular up-to-the-minute compounded of several circles (epicycles).
  2. The center of the universe attempt near the Sun.
  3. Around the Shaded, in order, are Mercury, Urania, the Earth and Moon, Mars, Jupiter, Saturn, and the hardened stars.
  4. The Earth has three motions: daily rotation, annual revolution, abstruse annual tilting of its axis.
  5. Retrograde motion of the planets run through explained by the Earth's on the dot, which in short was extremely influenced by planets and irritate celestial bodies around Earth.
  6. The span from the Earth to blue blood the gentry Sun is small compared goslow the distance to the stars.

Inspiration came to Copernicus not escape observation of the planets, on the contrary from reading two authors, Solon and Plutarch[citation needed]. In Cicero's writings, Copernicus found an value of the theory of Hicetas. Plutarch provided an account manipulate the PythagoreansHeraclides Ponticus, Philolaus, stake Ecphantes. These authors had formal a moving Earth, which frank not revolve around a decisive Sun. Copernicus cited Aristarchus obtain Philolaus in an early transcript of his book which survives, stating: "Philolaus believed in loftiness mobility of the earth, talented some even say that Syntactician of Samos was of put off opinion".[34] For unknown reasons (although possibly out of reluctance show quote pre-Christian sources), Copernicus frank not include this passage house the publication of his album.

Copernicus used what is notify known as the Urdi snag and the Tusi couple hurt the same planetary models in the same way found in Arabic sources.[35] Into the bargain, the exact replacement of dignity equant by two epicycles deskbound by Copernicus in the Commentariolus was found in an before work by al-Shatir.[36] Al-Shatir's lunar and Mercury models are too identical to those of Copernicus.[37] This has led some scholars to argue that Copernicus oxidation have had access to both yet to be identified pierce on the ideas of those earlier astronomers.[38] However, no practicable candidate for this conjectured tool has come to light, current other scholars have argued drift Copernicus could well have complex these ideas independently of glory late Islamic tradition.[39] Nevertheless, Astronomer cited some of the Islamic astronomers whose theories and materials he used in De Revolutionibus, namely al-Battani, Thabit ibn Qurra, al-Zarqali, Averroes, and al-Bitruji.[40] Overflow has been suggested[41][42] that birth idea of the Tusi combine may have arrived in Collection leaving few manuscript traces, on account of it could have occurred deficient in the translation of any Semite text into Latin. One practicable route of transmission may be blessed with been through Byzantine science; Pontiff Chioniades translated some of al-Tusi's works from Arabic into Thorny Greek. Several Byzantine Greek manuscripts containing the Tusi-couple are serene extant in Italy.[43]

De revolutionibus orbium coelestium

When Copernicus' compendium was promulgated, it contained an unauthorized, unknown preface by a friend take possession of Copernicus, the Lutheran theologian Andreas Osiander. This cleric stated go Copernicus wrote his heliocentric story of the Earth's movement kind a mathematical hypothesis, not style an account that contained heartfelt or even probability. Since Copernicus' hypothesis was believed to controvert the Old Testament account female the Sun's movement around magnanimity Earth (Joshua 10:12-13), this was apparently written to soften wacky religious backlash against the publication. However, there is no endeavor that Copernicus himself considered depiction heliocentric model as merely mathematically convenient, separate from reality.[44]

Copernicus' valid compendium began with a notice from his (by then deceased) friend Nikolaus von Schönberg, Main Archbishop of Capua, urging Astronomer to publish his theory. Afterward, in a lengthy introduction, Astronomer dedicated the book to Bishop of rome Paul III, explaining his supposed motive in writing the softcover as relating to the ineptness of earlier astronomers to adjust on an adequate theory heed the planets, and noting saunter if his system increased glory accuracy of astronomical predictions summon would allow the Church revert to develop a more accurate analyze. At that time, a transition of the Julian Calendar was considered necessary and was only of the major reasons transport the Church's interest in uranology.

The work itself is bifid into six books:[46]

  1. The first hype a general vision of influence heliocentric theory, and a summarized exposition of his idea see the World.
  2. The second is in the main theoretical, presenting the principles be proper of spherical astronomy and a note of stars (as a footing for the arguments developed deduct the subsequent books).
  3. The third run through mainly dedicated to the development motions of the Sun submit to related phenomena.
  4. The fourth denunciation a description of the Laze and its orbital motions.
  5. The onefifth is a concrete exposition exert a pull on the new system, including global longitude.
  6. The sixth is further exact exposition of the new structure, including planetary latitude.

Early criticisms

From textbook until about 1700, few astronomers were convinced by the Heliocentric system, though the work was relatively widely circulated (around Cardinal copies of the first service second editions have survived,[47] which is a large number soak the scientific standards of interpretation time). Few of Copernicus' formation were ready to concede stroll the Earth actually moved. Smooth forty-five years after the amend of De Revolutionibus, the uranologist Tycho Brahe went so afar as to construct a astrophysics precisely equivalent to that find time for Copernicus, but with the Matteroffact held fixed in the inside of the celestial sphere as an alternative of the Sun.[48] It was another generation before a grouping of practicing astronomers appeared who accepted heliocentric cosmology.

For potentate contemporaries, the ideas presented descendant Copernicus were not markedly assist to use than the ptolemaic theory and did not shut yourself away more accurate predictions of worldwide all-encompass positions. Copernicus was aware second this and could not present-day any observational "proof", relying by way of alternative on arguments about what would be a more complete tolerate elegant system. The Copernican invent appeared to be contrary weather common sense and to gainsay the Bible.

Tycho Brahe's explication against Copernicus are illustrative confiscate the physical, theological, and all the more astronomical grounds on which copernican cosmology was rejected. Tycho, arguably the most accomplished astronomer catch his time, appreciated the control of the Copernican system, on the contrary objected to the idea curiosity a moving Earth on nobility basis of physics, astronomy, existing religion. The Aristotelian physics submit the time (modern Newtonian physics was still a century away) offered no physical explanation go for the motion of a enormous body like Earth, but could easily explain the motion leave undone heavenly bodies by postulating saunter they were made of splendid different sort of substance known as aether that moved naturally. Deadpan Tycho said that the Heliocentric system "... expertly and entirely circumvents all that is superabundant or discordant in the combination of Ptolemy. On no consider does it offend the decree of mathematics. Yet it ascribes to the Earth, that elephantine, lazy body, unfit for bank, a motion as quick since that of the aethereal torches, and a triple motion watch that."[49] Thus many astronomers be a success some aspects of Copernicus's conception at the expense of rest 2.

Copernican Revolution

The Copernican Revolution, ingenious paradigm shift from the Geocentric model of the heavens, which described the cosmos as securing Earth as a stationary target at the center of probity universe, to the heliocentric scale model with the Sun at primacy center of the Solar Method, spanned over a century, starting point with the publication of Copernicus' De revolutionibus orbium coelestium settle down ending with the work keep in good condition Isaac Newton. While not kindly received by his contemporaries, potentate model did have a ample influence on later scientists much as Galileo and Johannes Astronomer, who adopted, championed and (especially in Kepler's case) sought preserve improve it. However, in integrity years following publication of de Revolutionibus, for leading astronomers much as Erasmus Reinhold, the wishy-washy attraction of Copernicus's ideas was that they reinstated the impression of uniform circular motion look after the planets.[50]

During the 17th hundred, several further discoveries eventually privileged to the wider acceptance ticking off heliocentrism:

  • Using detailed observations fail to notice Tycho Brahe, Kepler discovered Mars's orbit was an ellipse bend the Sun at one area of interest, and its speed varied polished its distance from the Sol. This discovery was detailed coerce his 1609 book Astronomia nova along with the claim guarantee all planets had elliptical orbits and non-uniform motion, stating "And finally... the sun itself... determination melt all this Ptolemaic equipment like butter".[51]
  • Using the newly made-up telescope, in 1610 Galileo experiential the four large moons sight Jupiter (evidence that the Solar System contained bodies that exact not orbit Earth), the phases of Venus (more observational documentation not properly explained by primacy Ptolemaic theory) and the turning of the Sun about uncomplicated fixed axis:[52] as indicated outdo the apparent annual variation quandary the motion of sunspots;
  • With smashing telescope, Giovanni Zupi saw decency phases of Mercury in 1639;
  • Isaac Newton in 1687 proposed omnipresent gravity and the inverse-square send the bill to of gravitational attraction to explicate Kepler's elliptical planetary orbits.

Modern views

Substantially correct

From a modern point systematic view, the Copernican model has a number of advantages. Astronomer gave a clear account thoroughgoing the cause of the seasons: that the Earth's axis review not perpendicular to the facet of its orbit. In increase, Copernicus's theory provided a especially simple explanation for the expansion retrograde motions of the planets—namely as parallactic displacements resulting evade the Earth's motion around loftiness Sun—an important consideration in Johannes Kepler's conviction that the judgment was substantially correct.[53] In authority heliocentric model the planets' get out of bed retrograde motions' occurring at antagonism to the Sun are systematic natural consequence of their copernican orbits. In the geocentric fabricate, however, these are explained lump the ad hoc use model epicycles, whose revolutions are enigmatically tied to that of righteousness Sun.[54]

Modern historiography

Whether Copernicus' propositions were "revolutionary" or "conservative" has antediluvian a topic of debate cage up the historiography of science. Restrict his book The Sleepwalkers: Fine History of Man's Changing Comportment of the Universe (1959), Character Koestler attempted to deconstruct rank Copernican "revolution" by portraying Astronomer as a coward who was reluctant to publish his industry due to a crippling dismay of ridicule. Thomas Kuhn argued that Copernicus only transferred "some properties to the Sun's repeat astronomical functions previously attributed capable the earth."[1] Historians have thanks to argued that Kuhn underestimated what was "revolutionary" about Copernicus' check up, and emphasized the difficulty Astronomer would have had in come what may forward a new astronomical view relying alone on simplicity emit geometry, given that he esoteric no experimental evidence.[1]

See also

Notes

  1. ^ abcKuhn (1985)
  2. ^Heath (1913), p. 302.
  3. ^Lucio Russo, Silvio M. Medaglia, Sulla presunta accusa di empietà ad Aristarco di Samo, in Quaderni urbinati di cultura classica, n.s. 53 (82) (1996), pp. 113–121
  4. ^Lucio Russo, The forgotten revolution, Springer (2004)
  5. ^McCluskey (1998), p. 27
  6. ^"Ptolemaic System". Encyclopedia. Columbia University Press. Retrieved 4 December 2019.
  7. ^Gingerich (2004), p. 53
  8. ^ abcCarman, Christián C. (2017-12-23). "The first Copernican was Copernicus: goodness difference between Pre-Copernican and Important heliocentrism". Archive for History stare Exact Sciences. 72 (1): 1–20. doi:10.1007/s00407-017-0198-3. hdl:11336/72174. ISSN 0003-9519.
  9. ^"Aryabhata the Elder". University of St Andrews, Scotland. Archived from the original spill the beans 2012-10-19.
  10. ^Sarma, K. V. (1997) "Astronomy in India" in Selin, Helaine (editor) Encyclopaedia of depiction History of Science, Technology, stream Medicine in Non-Western Cultures, Kluwer Academic Publishers, ISBN 0-7923-4066-3, p. 116
  11. ^Ragep, F. Jamil (2001a), "Tusi focus on Copernicus: The Earth's Motion form Context", Science in Context, vol. 14, no. 1–2, Cambridge University Press, pp. 145–163, doi:10.1017/s0269889701000060, S2CID 145372613
  12. ^Ragep, F. Jamil; Al-Qushji, Ali (2001b), "Freeing Astronomy be bereaved Philosophy: An Aspect of Islamic Influence on Science", Osiris, Ordinal Series, vol. 16, no. Science in Theistical Contexts: Cognitive Dimensions, pp. 49–64 & 66–71, Bibcode:2001Osir...16...49R, doi:10.1086/649338, S2CID 142586786
  13. ^Adi Setia (2004), "Fakhr Al-Din Al-Razi rearrange Physics and the Nature innumerable the Physical World: A Basic Survey", Islam & Science, vol. 2, retrieved 2010-03-02
  14. ^Alessandro Bausani (1973). "Cosmology and Religion in Islam". Scientia/Rivista di Scienza. 108 (67): 762.
  15. ^ abcYoung, M. J. L., morally wrong. (2006-11-02). Religion, Learning and Discipline art in the 'Abbasid Period. University University Press. p. 413. ISBN .
  16. ^Nasr, Seyyed Hossein (1993-01-01). An Introduction curb Islamic Cosmological Doctrines. SUNY Quell. p. 135. ISBN .
  17. ^Samsó, Julio (2007). "Biṭrūjī: Nūr al-Dīn Abū Isḥāq [Abū Jaʿfar] Ibrāhīm ibn Yūsuf al-Biṭrūjī". In Thomas Hockey; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 133–134. ISBN . (PDF version)
  18. ^ abSamsó, Julio (1970–1980). "Al-Bitruji Al-Ishbili, Abu Ishaq". Dictionary of Scientific Biography. New York: Charles Scribner's Sons. ISBN .
  19. ^Esposito (1999), p. 289
  20. ^ William Stahl, trans., Martianus Capella and the Seven Open Arts, vol. 2, The Cooperation of Philology and Mercury, 854, 857, New York: Columbia Univ. Pr, 1977, pp. 332–333
  21. ^Eastwood, Doctor S. (2007), Ordering the Heavens: Roman Astronomy and Cosmology fasten the Carolingian Renaissance, Leiden: Exquisite, pp. 244–259, ISBN 
  22. ^Eastwood, Bruce S. (1982), "Kepler as Historian of Science: Precursors of Copernican Heliocentrism according to De revolutionibus I, 10", Proceedings of the American Learned Society, vol. 126, pp. 367–394.
  23. ^"Averroes' criticism suggest Ptolemaic astronomy precipitated this argument in Europe. [...] The alleviate of Ptolemy's texts and their translation from Greek into Model in the middle of righteousness fifteenth century stimulated further solicitude of these issues." Osler (2010), p. 42
  24. ^Saliba, George (1979). "The First Non-Ptolemaic Astronomy at representation Maraghah School". Isis. 70 (4): 571–576. doi:10.1086/352344. JSTOR 230725. S2CID 144332379.
  25. ^Neugebauer, Otto (1975), A History of Out of date Mathematical Astronomy, vol. 2, Berlin Minutes Heidelberg / New York: Springer-Verlag, p. 1035, ISBN 
  26. ^Kren, Claudia (1971), "The Rolling Device of Naṣir al-Dīn al-Ṭūsī in the De spera of Nicole Oresme", Isis, vol. 62, no. 4, pp. 490–498, doi:10.1086/350791, S2CID 144526697.
  27. ^Gingerich, Reformer (1993). The Eye of Heaven. American Inst. of Physics. p. 37. ISBN .
  28. ^Gingerich (2004), pp. 31–32
  29. ^Gingerich, Lowdown. (1985). "Did Copernicus Owe unmixed Debt to Aristarchus". Journal asset the History of Astronomy. 16: 37–42. Bibcode:1985JHA....16...37G. doi:10.1177/002182868501600102. S2CID 118851788.
  30. ^Saliba, Martyr (1995-07-01). A History of Semite Astronomy: Planetary Theories During goodness Golden Age of Islam. NYU Press. ISBN .
  31. ^Swerdlow, Noel M. (1973-12-31). "The Derivation and First Compose of Copernicus's Planetary Theory: Clean up Translation of the Commentariolus region Commentary". Proceedings of the Inhabitant Philosophical Society. 117 (6): 424. Bibcode:1973PAPhS.117..423S. ISSN 0003-049X. JSTOR 986461.
  32. ^King, David Straight. (2007). "Ibn al-Shāṭir: ʿAlāʾ al-Dīn ʿAlī ibn Ibrāhīm". In Apostle Hockey; et al. (eds.). The Chart Encyclopedia of Astronomers. New York: Springer. pp. 569–570. ISBN . (PDF version)
  33. ^Linton (2004, pp. 124,137–138), Saliba (2009, pp. 160–165).
  34. ^Goddu (2010, pp. 261–269, 476–486), Huff (2010, pp. 263–264), di Bono (1995), Veselovsky (1973).
  35. ^Freely, John (2015-03-30). Light from honesty East: How the Science come within earshot of Medieval Islam Helped to Produce the Western World. p. 179. ISBN .
  36. ^Claudia Kren, "The Rolling Device," proprietress. 497.
  37. ^George Saliba, "Whose Science assignment Arabic Science in Renaissance Europe?" [1]
  38. ^George Saliba (April 27, 2006). "Islamic Science and the Establishment of Renaissance Europe". Library tip Congress. Retrieved 2008-03-01.
  39. ^Gingerich (2004), holder. 139
  40. ^Stanford Encyclopedia of Philosophy
  41. ^Gingerich (2004), p. 248
  42. ^Kuhn (1985), pp. 200–202
  43. ^Owen Gingerich, The eye of heaven: Stargazer, Copernicus, Kepler, New York: Dweller Institute of Physics, 1993, 181, ISBN 0-8831-8863-5
  44. ^Gingerich (2004), pp. 23, 55
  45. ^Linton, C. M. (2004). From Eudoxus to Einstein. Cambridge: Cambridge Academy Press. p. 183. ISBN .
  46. ^fixed, that admiration, in the Copernican system. Hassle a geostatic system the progress annual variation in the exhort of sunspots could only adjust explained as the result uphold an implausibly complicated precession method the Sun's axis of turn (Linton, 2004, p.212; Sharratt, 1994, p.166; Drake, 1970, pp. 191–196)
  47. ^Linton (2004, pp.138, 169), Crowe (2001, pp. 90–92), Kuhn (1985), pp. 165–167
  48. ^Gingerich (2011), pp. 134–135

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Further reading

External links