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Journal of Astronomical History and Heritage, 23(2), 327‒334 (2020).

THE ECLIPSE OF 21 JUNE 1629 IN IN THE CONTEXT OF THE REFORM OF THE CHINESE CALENDAR

Sperello di Serego Alighieri INAF ‒ Osservatorio Astrofisico di Arcetri, Largo Enrico Fermi 5, 50125 Firenze, Italy. E-mail: [email protected]

and

Elisabetta Corsi Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy. E-mail: [email protected]

Abstract: This paper examines the predictions made by Chinese, Muslim and Jesuit astronomers of the eclipse of 21 June 1629 in Beijing, allegedly the event that determined Emperor Chongzhen‘s resolution to reform the calendar using the Western method. In order to establish the accuracy of these predictions, as reported at the time by the Chinese scholar and convert , we have compared them with an accurate reconstruction of the eclipse made at NASA. In contrast with current opinions, we argue that the prediction made by the Jesuits was indeed the most accurate. It was in fact instrumental in dissipating Chongzhen‘s doubts about the need to entrust Jesuit missionaries serving at the Chinese court with the task of reforming the calendar, leading to the first important scientific collaboration between Europe and .

Keywords: Eclipses, Chinese calendar reform, Jesuit savants.

1 INTRODUCTION to the Empire, and making astronomical pre- dictions and calculations, may not be fully ap- Eclipses are inauspicious events in Chinese preciated unless attention is paid to the quality traditional worldview, bearers of major disast- of the Jesuit scientific and technical expertise, ers. For centuries astronomers serving at the a condition that enabled them to retain a lead- Chinese Court—from the Tang Dynasty on, ing position in the Astronomical Bureau for a there were also foreign astronomers, firstly century and a half, starting with Adam Schall Brahmans then Arabs and lately Europeans— von Bell‘s appointment in 1644, at the estab- strove to make the best eclipse forecasts, lest lishment of the . In order to do the Emperor, who was believed to be the tianzi so, we begin by outlining the context in which 天子, the Son of Heaven and a link between this expertise was acquired. Heaven and Earth, might cause havoc among his subjects by acting in an unworthy way un- 2 CONTEXT der the evil spell cast by the celestial event. Indeed, a major calendrical reform had already Jesuit missionaries soon realized the high taken place in Europe about fifty years earlier status that astronomy and eclipse prediction and the Jesuits had been instrumental in car- enjoyed among the ruling elite of China and rying it out successfully. The year 1582 is used their knowledge in the field to compete when the so-called Gregorian reform of the with court astronomers, so that they succeed- calendar was implemented in Europe under ed in persuading the Chongzhen Emperor that Pope Gregory XIII (1502‒1585). As it is they were more qualified than Chinese and known, the need for the reform rose from the Muslim court astronomers to perform the long fact that discrepancies between the tabulated needed task of amending the calendar. As Spring equinox and the observed one had Catherine Jami (1995: 174) pointed out, ―Pre- been increasing to a lapse of ten days in Pope cision in the prediction of celestial phenomena Gregory‘s time, causing serious problems to might be a matter of life or death for the offi- the date of Easter (Heilbron, 1999; see espec- cials in charge. Astronomy and time-keeping ially 24‒46, 144‒175). both had heavy political implications, and their importance in that respect should be kept in The year 1582 is also when the Jesuit mind.‖ missionary (1552‒1610) arrived in China to proselytize (Brockey, 2007; Fra- The Jesuit involvement with the Astronom- anke, 1976; Hsia, 2010). As it is known, he ical Bureau (Qintianjian 欽天監) in Beijing, an managed to reach the Imperial Court in Beijing Imperial establishment whose tasks were es- thanks to the knowledge of mathematics and sentially those of providing the official calendar natural philosophy he had acquired during the

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Sperello di Serego Alighieri and Elisabetta Corsi The 21 June 1629 Eclipse and the Chinese Calendar years spent at the Collegio Romano. Estab- two months, Theory of the Planets four lished in 1551, the Collegio Romano was soon months, Perspective three months, during to become one of the most reputed Jesuit high the remainder of the time Clocks and education institutions in Europe and a model ecclesiastical Computation (Monumenta Paedagogica, 1901, cit. in Bernard, 1935: for similar establishments in the colonial world 30). (Bernard, 1935; Corsi, 2012; Grendler, 2002). Thanks to the Ratio atque Institutio Studiorum From the above description, we can ob- Societatis Iesu (1599, see Hinz et al., 2004), serve that the instruction in ‗mixed mathemat- astronomy, cosmology, as well as a cluster of ics‘ was quite elementary. Nonetheless, the sub-disciplines that fell under the denomina- more talented students could request their tion of ‗mixed mathematics‘, were formally in- teachers for additional private lectures or they cluded in the curriculum of studies in major could attend the Academy of Mathematics. Jesuit colleges. As Jesuits‘ reputation as edu- Ricci too attended lectures held by Christopher cators of European elite grew, the principles Clavius, although only after 1594 did the cata- and regulations of the Ratio began to affect logi of the Collegio Romano ―… begin to speci- the production and circulation of knowledge in fy a distinct group of mathematicians (the offi- high education institutions of the Catholic cial title of those attending the Academy).‖ world, to the extent that even their antagonists (Baldini, 2002: 52). could not but acknowledge their pedagogical A host of other Jesuits such as Niccolò mastery. Longobardi (1565 ‒1654), Diego de Pantoja Soon after his return to from Coim- (1571‒1618), Sabatino de Ursis (1575‒1620), bra in 1561, Christopher Clavius (1538 ‒1612) (1577‒1628), Johannes had been teaching mathematics at the Colle- Schreck (1576 ‒1630), Giulio Aleni (1582 ‒ gio Romano, in what became known as Clavi- 1649), Wenceslas Kirwitzer (1588 ‒1626), Ad- us‘ Academy. At the Academy, Clavius taught am Schall von Bell (1591‒1666), Giacomo more advanced courses than the public ones, Rho (1593 ‒1638), Martino Martini (1614 ‒ but they went on rather informally until about 1661), and Ferdinand Verbiest (1623 ‒1688) 1594, when Clavius‘ requests to the superiors followed in the footsteps of Ricci, bringing to for its official recognition were finally accepted. the Chinese court further astronomical know- Clavius gave two reasons for the establish- ledge and contributing to solve the problems of ment of an Academy of Mathematics at the the Chinese calendar. Among them, only Sa- Collegio Romano. Firstly, if Jesuit educational batino de Ursis and Giulio Aleni had attended institutions were to compete with public uni- the Academy. versities, especially in Protestant Europe, they De Ursis was there from 1600 to 1601 and should be able to offer instruction of the high- Aleni from 1606 to 1608. It is worth noting that est level, not only in philosophy and theology, De Ursis was in Beijing from 1607, with Ricci, but also on a broad range of secular disci- until he was expelled in 1617. During this pe- plines of a more technical and practical nature. riod he actively contributed to the calendar re- Secondly, Jesuits who were to travel to mis- form and composed a few treatises in Chi- sion stations should gain a scientific and tech- nese on mechanics and hydraulics. Since his nical expertise in order to fulfill the demands of stay at the Academy was quite short, we have their daily lives overseas (Baldini, 2002; Ro- to assume that he may have acquired most of mano, 1999). This point is of particular inter- his scientific knowledge during the years spent est for the reasons that will be provided further at Naples as a novice and later on in Macao, on in this paper. where he returned after his expulsion from

By the time Ricci entered the Society, the Beijing (Gatto, 1994; 1995: 283 ‒294). In- Collegio Romano was running its third pro- deed, Clavius resided at the Collegio di Napoli gramme of public studies, one in which arith- for a year from 1595 to establish an Academy metic was no longer included in the first year of Mathematics there; his pupil from the Colle- of the philosophy course but had been trans- gio Romano, Giovanni Giacomo Staserio ferred to the second year: (1565‒1635) was to take the chair in Mathe- matics at Naples and it is from him that De Ur- [In the second year of philosophy]: the first sis received his early scientific training (Bald- four books of Euclid during four months ini, 2000: p. 93, n. 94, p. 94, n. 98). approximately, Practical Arithmetic one month and a half, Sphere two months and Aleni‘s scientific expertise seems to have a half, Geography two months, and, during been even more accomplished, as he had the remainder of the year, Books 5 and 6 studied at the prestigious Collegio di Parma of Euclid. before being admitted to the Collegio Romano. [In the third year of philosophy]: Astrolabe He left for Goa in 1609 and once he

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Sperello di Serego Alighieri and Elisabetta Corsi The 21 June 1629 Eclipse and the Chinese Calendar reached the Portuguese enclave he observed ing to the Confucian elite, who had converted a lunar eclipse about which he reported to to Christianity in 1603 thanks to his friendship Magini in a letter dated January 1611 (Baldini, with Matteo Ricci. Reports state that the cru- 2002: 97, n. 106). As we shall see in the fol- cial event for this decision was a solar eclipse, lowing paragraphs, the astronomical expertise which happened on 21 June 1629. The acquired by Jesuit missionaries has been cru- eclipse was partial in Beijing, and had been cial for their penetration in the Chinese world, forecaste both by the Chinese astronomers, particularly at the highest levels of the estab- who made use of the traditional Datongli 大統曆 lishment. method; as well as by Muslim astronomers,

Let us now consider the entangled issues whose computational method was known as related to the attempts of reforming the Chi- Huihuili 回回曆. Jesuit astronomers too made nese luni-solar calendar made by the Jesuit their own prediction by means of the Western missionaries serving at the Chinese court. method of computation. Given the fact that a Just as Clavius was among those who per- couple of months later the Chongzhen Emper- suaded Pope Gregory XIII that the time had or decided that the Calendar should be re- come for a readjustment of the calendar formed using the Western method, one would which, among other things, would provide a assume that the Jesuits prediction was more correct date for Easter, De Ursis and his con- accurate than the Chinese and Muslims ones, freres used eclipse prediction to win the Em- and therefore there should be no reason to fur- peror‘s trust over their rival Chinese and Mus- ther investigate the case. lim astronomers, and obtain his consent to im- Nonetheless, an analysis of recent schol- plement the reform. In short, the problems of arship about this eclipse and its forecasts any calendar originate from the fact that the shows contradictions that make it worth delv- year is not made of an integer number of days, ing more thoroughly into the case. Let us pro- but it is 365.24219 days long. ceed with a review of the major studies con- The Julian calendar, promulgated by Ju- cerning the eclipse forecasts. One of the first lius Caesar in 46 BCE with the advice of So- authors to be taken into consideration is Agu- sigenes of Alexandria, assumed the year to be stín Udías, who writes that the prediction was 365.25 days long, which is 11.25 minutes made by Johann Schreck (known as Ter- wrong; so the Julian calendar went off by one rentius) by means of the Western method, and day after 128 years. The Gregorian reform in- that it was the only correct one (Udìas, 1994). stead assumed the year to be 365.2425 days This assertion is supported also by Daniel J. long, which is wrong by only 27 seconds, so it Boorstin (1983: 62) who writes that: will take more than 3,200 years for the Grego- The Imperial Astronomers predicted that rian calendar to go wrong by one day. The the eclipse would occur at 10:30 and problems of the Chinese calendar were even would last for two hours. The Jesuits fore- more serious, because, being a luni-solar cal- cast that the eclipse would not come until endar, it had to stay in phase not just with the 11:30 and would last only two minutes. On rotation of the Earth around the Sun (the year), the crucial day, as 10:30 came and went but also with the rotation of the Moon around the sun shone in full brilliance. The Impe- the Earth, i.e. with the lunar month, which is rial Astronomers were wrong, but were the not made of an integer number of days (it is Jesuits right? Then, just at 11:30, the eclipse began and lasted for a brief two 29.53059 days long), nor the year is made of minutes, as the Jesuits had predicted. an integer number of lunar months (it is 12.3683 lunar months long). In the sixteenth A similar statement had also been made by century the Ming Emperors had problems with D‘Elia (1947). the calendar, which turned into a mismatch be- On the other hand Lü (2007) writes that tween celestial phenomena and the calendar. ―… the truth is totally different …‖ and, in order Attempts to reform it had been unsuccessful, to prove his argument, he provides a compari- opening the way to Jesuit astronomers (Chu, son table (Lü, 2007: Table 1), showing that 2007; D‘Elia, 1947). … the error of the maximum phase and last con- tact of the Western method is much larger than 3 ANALYSIS OF THE ECLIPSE OF that of the Datong li, whereas the error of the 21 JUNE 1629 magnitude and first contact of the Western method is smaller than that of the Datong li. In September 1629 the Chongzhen Emperor Checked against the observation results, the er- (1611‒1644), the last monarch of the Ming ror of the magnitude, maximum phase and last Dynasty, assigned the task to reform the Chi- contact of the Western method is also much larger than that of the Datong li, while only the nese calendar with the Western method to Xu error of the first contact is slightly smaller than Guangqi (1562‒1633), a civil servant belong- that of the Datong li. In sum the results of the

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prediction provided by the Datong li were very the larger units (see also Chu and Shi, 2014). bad, but those of the Western methods were The magnitude is the fraction of the Sun‘s di- even worse. ameter obscured by the Moon at maximum; Unfortunately, Lü‘s argument leaves room the solar diameter is divided into 10 fen, each for doubts, because the data contained in his divided into 60 miao (Stephenson and Fatoohi, Table 1 show some anomalies: the duration of 1995), while other authors have assumed that the eclipse is not reported, the time of the one fen is divided into 100 miao (e.g. Lü, maximum phase in the rows about Western 2007). The duration shown in the first four method and observation is not halfway be- rows of Table 1 is that given in the Zhili yu- tween the first and last contacts, as it should anqi. The last three rows of Table 1 give the be in an eclipse, and it is not clear where the difference between the NASA reconstruction data for the row with the Theoretical Results and the forecasts made with the Datong, Hui- come from. hui and Western methods.

In order to shed light on this important A quick look at the data reported in Table event, we checked the original reports about 1 is all one needs to note that, as a matter of the predictions and the observation of the fact, forecasts were not accurate, the timing eclipse of 21 June 1629 gathered by Xu Gu- errors often being larger than 15 minutes, al- angqi 徐光啟, in Zhili yuanqi 治曆緣起 The Begin- though they do not seem much worse than the ning of the Calendar Reform (1645), and we errors for eclipse forecasts made by Jesuit as- compared them with the accurate recon- tronomers between 1644 and 1750 for which struction of that solar eclipse at Beijing Ancient the errors go up to 41 minutes and are often Observatory, made using the Eclipse Predic- above 15 minutes (Stephenson and Fatoohi, tions by Fred Espenak and Chris O'Byrne 1995). It is worth highlighting that taking into (NASA's GSFC) (https://eclipse.gsfc.nasa. the correct account the suanwai allowed us to gov/JSEX/JSEX-index.html). The data con- solve the problem of the maximum phase not cerning the predictions made using the tradi- being halfway between the first and the last tional method (Datong li), the Muslim method contacts, as shown in Lü (2007: Table 1) for (Huihui li), and the Jesuit method (Western), the prediction with the Western method and for and the eclipse observations as reported in the the observations.

Zhili yuanqi, and the NASA reconstruction The report of the eclipse of 21 June 1629 (NASA) are shown here in Table 1. Times are in the Zhili yuanqi also mentions an orienta- given in hours and minutes of local apparent tion, which is South-West for the first contact, time. South for the maximum, and South-East for Since the NASA reconstruction gives mean the last contact; this is the same for the fore- local times for the time zone, we have correct- casts with the three different methods and for ed them taking into account both the differ- the observation. Clearly this orientation refers ence in longitude between the Beijing Ancient to the position of the Sun in the sky, since the Observatory and the relevant time zone (‒14m Sun moves from East to West. We think that it 16s) and the equation of time for 21 June (1m refers to the position of the Moon on the Sun‘s 20s). We have assumed that Xu Guangqi has surface, South-West meaning to the lower used the Western division of the day in 96 right, South meaning to the bottom, and units ( 刻 ke) of 15 minutes each (cf. Jami, South-East to the lower left. This is actually 1995), instead of the classical Chinese division quite easy to forecast given the orientation of in 100 ke of 14.4 minutes, which is assumed in the movement of the Sun and of the Moon in the sky. LL07. The Zhili yuanqi also reports that for the eclipse of 21 June 1629 the units smaller than Concerning the discussion about the one hour are rendered as suan-wai (―outside method that performed best, we note that the the count‖), i.e. they are added at the end of Muslim method was clearly the worse one, with

Table 1: Forecasts and observation of the eclipse of 21 June 1629, as reported in the Zhili yuanqi by Xu Guangqi, and compari- son with the NASA reconstruction (in red). The forecasts which are closest to the NASA reconstruction are given in blue.

First contact Maximum Last contact Magnitude Duration Datong forecast (D) 10h 45m 11h 45m 12h 45m 0.340 2h Huihui forecast (H) 11h 45m 12h 45m 13h 45m 0.587 2h Western forecast (W) 10h 47m 11h 36m 12h 06m 0.2 1h 19m Observation 11h 15m 12h 45m 0.3 1h 30m NASA corr. (N) 11h 01.3m 11h 45.4m 12h 30.0m 0.168 1h 28.7m N-D 16.3m 0.4m –15.0m –0.172 –32.3m N-H –43.7m –59.6m −1h 15.0m –0.419 –32.3m N-W 14.3m 9.4m 24.0m –0.032 9.7m

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all timing errors larger than 30 minutes. The have been induced by a confusion of the mag- Western method performed best for the mag- nitude of the eclipse, reported as 3 fen and 24 nitude and the duration, and did slightly better miao, meaning that a fraction of 0.340 of the for the time of first contact, while the Datong Sun‘s diameter was obscured by the Moon at method performed best for the times of the maximum, with a duration. This confusion maximum and of the last contact. The compe- seems to be present also in the report by Ad- tition between the Western and the Datong am Schall von Bell (Chen, 1983). methods ended as 3-2 in football terms. There- We are puzzled by the difference of about fore it appears that Xu Guangqi succeeded in 15 minutes between the observed eclipse convincing the Emperor Chongzhen to entrust times, as reported by Xu Guanqi, and those of him with the reform of the calendar using the the NASA reconstruction, since Xu Guanqi‘s Western method, since this one performed timing accuracy should have been better, part- considerably better for the important parame- icularly for events close to the midday, alt- ters of magnitude and duration. He probably hough during the the develop- also used in his favour previous eclipse predic- ment of mechanical clocks had stopped and tions made with the Western method, such as more basic water clepsydras were in use the solar eclipse of 15 December 1610, which (Steele and Stephenson, 1998). In fact the er- had been correctly predicted by Sabatino de ror seems to be a time shift, the actual eclipse Ursis, while it had not been foretold by Chi- duration having been recorded correctly within nese astronomers (Udías, 2003: 40). a minute or so. It is possible that this time shift A thorough collation of data concerning could have been caused by a misalignment of 120 eclipses recorded in Chinese sources the instruments available at the Beijing Ancient from 3 August 134 BCE to 5 August 1785 has Observatory, as reported in a memorial of been conducted by Chen (1983). The source 1612 (Deane, 1994). In 1674 Ferdinand Ver- used by Chen for the eclipse of 21 June 1629 biest made a new armillary sphere for the Bei- was in fact the Lixue xiaobian 曆學小辨 (Schall jing Observatory following the one made in von Bell, 1631). In translating the timing in Europe by Tycho Brahe in 1598 (Needham, current notation, Chen (1983: 305) explained 1959: 352). In the preface of his Astronomiae that he was considering the medium value for apud Sinas Restitutae Mechanica (see Golv- each unit of time; therefore, in the dual-hour ers and Nicolaidis, 2009: 164), Verbiest writes that and 100 ke system, the medium values were respectively 1 hour and 7.2. minutes. He as- After the care of the Astronomical Bureau sumed that Schall was still making use of this and the whole field of astronomy have system in the Lixue xiaobian, so that the pre- been entrusted to me, some prominent diction of the time of first contact, indicated by people, who had attended our observa- tions on the Astronomical Watchtower, had Schall as sizheng 巳正 and 4 ke (Schall von remarked that the Chinese astronomical h Bell, 1631: f.2v), should correspond to 10 instruments (at the Astronomical Bureau in 58.8m. This prediction is considerably more Beijing) – although built after the model of accurate than the one given by Xu Guangqi for the instruments of Guo Shoujing (respon- the Western method, with a difference from sible of the Astronomical Bureau more the NASA reconstruction of only 2.5 minutes. than 330 years ago i.e. during the time of However, since Chen (1983) reports about the the occupation of the Chinese Empire by the Mongols) – were in fact of a very primi- prediction of the time of the first contact using tive and clumsy construction when com- the Western method, but gives no prediction pared to my armillas and quadrants and for the other eclipse parameters nor with other sextants and other instruments by which I methods, and since Adam Schall von Bell was had recently observed the Heavens. They not in Beijing at the time of the eclipse, we pre- had established that these instruments fer to limit our analysis of ancient sources to were insufficient and not adapted, neither the Zhili yuanqi. to our European astronomy, nor to their own and the Chinese Heavens (due to Clearly the account of the eclipse given by many errors, which I have indicated in my Boorstin (1983) does not correspond to the re- Libri Organici). Therefore, they petitioned port by Xu Guangqi, nor to the accurate NASA the Emperor, and persuaded him to order reconstruction. In particular the assumption me to construct new instruments; these that Jesuit astronomers had predicted that the were to be skillfully built according to the eclipse would last only two minutes is clearly European type, and to be exposed on the Astronomical Watchtower as a perennial wrong, both because the eclipse lasted almost memorial to the Empire of the Eastern one hour and a half, and because the Jesuits Manchu, after the ancient instruments had had predicted a duration of one hour and 19 been removed from there. The Emperor minutes. We suggest that the mistake might immediately endorsed their proposal, and

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imposed the entire responsibility on my later. The question about why this advanced shoulders. astronomical knowledge in China did not cor-

Therefore the instruments in use at the Astro- rectly flow from the best astronomers to the nomical Bureau at the time of the eclipse of 21 practical applications such as the calendar, as June 1629 were copies of instruments built for it happened in Europe, is very interesting, but a different place, and were insufficient and not exceeds the purposes and limits of this paper. adapted to their function. It is quite possible We simply suggest that the reasons may be that the one used for setting the time was mis- connected with the larger independence and aligned by a few degrees causing a time shift freedom of thoughts in Europe at the time. by 15 minutes. The eclipse of 21 June 1629 was also de- Finally, we have considered the possibility cisive for the future of the Jesuit involvement that the eclipse reports might have been with the Chinese Astronomical Bureau and the changed since 1629, for example to satisfy the role the Jesuits played as mediators in the changing interests of those transmitting them transfer of Western astronomical knowledge. (on this problem see e.g. Li et al., 2014). We This assumption is aptly demonstrated by the have examined three different copies of the following declaration, made at the time and Zhili yuanqi 治曆緣起, by Xu Guangqi. One is at signed by ten officials serving at the Bureau: the Biblioteca Apostolica Vaticana (BAV, shelf At first we also had our doubts about the as- mark: RGO III 233), the second one at the Ar- tronomy from Europe when it was used in the chivum Romanum Societatis Jesu (ARSI, chi-ssu year (1629), but after having read many clear explanations our doubts diminished by Jap.Sin II 15), and the third one is held at the half, and finally by participating in precise ob- Biblioteca Nazionale Centrale Vittorio Eman- servations of the stars, and of the positions of uele II (BNC, Fondo Gesuitico), also in Rome. the sun and moon, our hesitations were alto- We have carefully examined the pages corre- gether overcome. Recently we received the im- perial order to study these sciences, and every sponding to the eclipse of 21 June 1629 in day we have been discussing them with the Eu- these three editions and we have come to the ropeans. Truth must be sought not only in conclusion that there is absolutely no differ- books, but in making actual experiments with in- ence in the text, although the quality of the pa- struments; it is not enough to listen with one‘s ears, one must also carry out manipulations with per used to print the volumes is not the same one‘s hands. All (the new astronomy) is then in the three editions. It is hard to establish found to be exact. (Needham, 1959: 456). with absolute certainty that the same wood- Just as the events related to the eclipse of 21 blocks were used to print all of them, although June 1629 resulted from a fruitful encounter this appears to be the case, even if they were between people with different cultural back- probably printed at different times (a thorough grounds, we too, in the course of our work, analysis of the Ming versions of the Zhili yu- have shared a very similar experience with anqi is in Chu, 2017). Therefore we may con- several scholars world-wide, who have been clude that the reports of the important eclipse very generous with their time and advice. It is of 21 June 1629 have not been changed, at our hope that such fruitful encounters will fos- least for the three editions of the Zhili yuanqi ter further research on the subject. that we have examined.

5 ACKNOWLEDGEMENTS 4 CONCLUSIONS

The eclipse prediction of 21 June 1629, a trivi- We would like to thank Christopher Cullen, al episode as it may at first glance appear Noël Golvers, Catherine Jami and Lü Lingfeng —one in which three contenders strove to for useful discussions, an anonymous referee prove the efficacy of their forecasting methods for valuablel comments that helped us improve to win the trust of the Chinese court—was in our paper, and Shi Yunli for inviting us to a fact a decisive event in determining the im- Conference on Science, Western Learning plementation of Western astronomy in China. and Confucianism, held in Hefei in April 2019, About the larger errors made by Chinese and where a first draft of this paper was presented Muslim astronomers in the eclipse forecast we and where we had many interesting discus- adopt the words of Terrentius, who pointed out sions. The staff of BAV, ARSI and Biblioteca that they proved the failure not of the astrono- Nazionale in Rome have been generous with mers, but of the methods they were following their time and expertise and we thank them for (Udías, 2003). In fact in 1281 the Chinese as- making available to us their copies of the Zhili tronomer and engineer Guo Shoujing had es- yuanqi. timated the length of the year as 365.2425 6 REFERENCES days (see Needham, 1959: 294), exactly the same as the value used for the Gregorian re- Baldini, U., 2000. Saggi sulla cultura della Compag- form of the calendar in Europe three centuries nia di Gesù (secoli XVI-XVIII). Padova, CLEUP.

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In Baldini, U., (ed.), Christoph Clavius e at University of Padova in l’attività Scientifica dei Gesuiti nell’età di Galileo. 1975. After a fellowship from Roma, Bulzoni. Pp. 283‒294. CNR he obtained a position as Golvers, N., and Nicolaidis, E., 2009. Ferdinand astronomer at the Padova Ob- Verbiest and Jesuit Science in 17th century China. servatory in 1978, working on Athens, Ferdinand Verbiest Institute. extragalactic astronomical research and on the de- velopment of astronomical instrumentation. From

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Sperello di Serego Alighieri and Elisabetta Corsi The 21 June 1629 Eclipse and the Chinese Calendar

1980 to 1984 he worked for the Astronomy Division Kong. She is also a member of of the Space Science Department of ESA at ESTEC the Sapienza Quality Assur- in The Netherlands on the Faint Object Camera ance Board and one of the (FOC) for the Hubble Space Telescope (HST) and founding members of the QuID as Project Scientist for the Phase A study of the far workgroup for teaching en- UV space observatory Magellan. He built the proto- hancement. She is an invited type of the FOC, the instrument which granted the Professor at the Pontifical Gre- European participation in the HST project. From gorian University. Her re- 1984 to 1990 he worked for ESA as HST Instrument search interests focus on the Scientist at the Space Telescope European Coordi- role of Jesuit missionaries as nating Facility in Garching, Germany, helping Euro- scientific mediators during the pean astronomers in the use of HST. Since 1990 he early modern period, mainly in has been at the Arcetri Astrophysical Observatory in the field of ‗mixed mathematics‘ ‒ such as optics Firenze, Italy, working on astrophysical research in and linear perspective ‒ and on the transmission of the extragalactic area (galaxy evolution, active ga- Aristotelian natural philosophy through the produc- lactic nuclei, observational cosmology). In the peri- tion, translation and circulation of printed works, od 1995-1998 he was the Director of the Centro mainly in Classical Chinese. She lectures on Chi- for the Italian telescope TNG on the nese textual and exegetical traditions, reference Canary Island of La Palma. He is a keen traveler tools and classification of knowledge in ancient Chi- and recently he has been active on science com- na, as well as on material culture and connoisseur- munication and astronomy in Dante‘s Divina Com- ship in late imperial China, the relationship between media. See http://www.arcetri.astro.it/~sperello/ technology and science, history of the book and printing, history of reading and writing, history of Elisabetta Corsi is Professor and Chair of Sinology sinology and history of East Asia from a global per- and East Asian History at Sapienza University of spective. She has published extensively in English, Rome. She received her undergraduate training at Spanish, Italian and Chinese. Her latest publication Sapienza and carried out graduate studies at Bei- is ―Idolatrous images and true images: European jing University, Hong Kong and Mumbai. She visual culture and its circulation in Early Modern earned her PhD in Sinology at Sapienza. From Feb- China‖ in Del Valle, More and O‘Toole‘s, Iberian ruary 2015 she has been Deputy Chair of the Hu- Empires and the Roots of Globalization (2020, manities and Social Sciences Panel (Joint Research Vanderbilt University Press: 271-302.https://muse. Scheme) of the Research Grants Council, Hong jhu.edu/book/7295).

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