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144-494: The concept was introduced by Ptolemy to account for the apparent daily motion of the heavens around the Earth, producing the east-to-west rising and setting of the sun and stars, and reached Western Europe via Avicenna . The Ptolemaic system presented a view of the universe in which apparent motion was taken for real – a viewpoint still maintained in common speech through such everyday terms as moonrise and sunset . Rotation of

288-417: A perfect fourth ) and octaves . Ptolemy reviewed standard (and ancient, disused ) musical tuning practice of his day, which he then compared to his own subdivisions of the tetrachord and the octave , which he derived experimentally using a monochord / harmonic canon. The volume ends with a more speculative exposition of the relationships between harmony, the soul ( psyche ), and the planets ( harmony of

432-631: A priest , the sacrificial bread and wine become the body and blood of Christ . The Virgin Mary is venerated as the Perpetual Virgin , Mother of God , and Queen of Heaven ; she is honoured in dogmas and devotions . Catholic social teaching emphasizes voluntary support for the sick, the poor, and the afflicted through the corporal and spiritual works of mercy . The Catholic Church operates tens of thousands of Catholic schools, universities and colleges , hospitals , and orphanages around

576-594: A " prisoner in the Vatican ". This stand-off, which was spoken of as the Roman Question , was resolved by the 1929 Lateran Treaties , whereby the Holy See acknowledged Italian sovereignty over the former Papal States in return for payment and Italy's recognition of papal sovereignty over Vatican City as a new sovereign and independent state. Catholic missionaries generally supported, and sought to facilitate,

720-612: A Roman citizen, but was ethnically either a Greek or at least a Hellenized Egyptian. Astronomy was the subject to which Ptolemy devoted the most time and effort; about half of all the works that survived deal with astronomical matters, and even others such as the Geography and the Tetrabiblos have significant references to astronomy. Ptolemy's Mathēmatikē Syntaxis ( Greek : Μαθηματικὴ Σύνταξις , lit.   ' Mathematical Systematic Treatise ' ), better known as

864-476: A coherent mathematical description, which persists to the present as just intonation – the standard for comparison of consonance in the many other, less-than exact but more facile compromise tuning systems. During the Renaissance , Ptolemy's ideas inspired Kepler in his own musings on the harmony of the world ( Harmonice Mundi , Appendix to Book V). The Optica ( Koine Greek : Ὀπτικά ), known as

1008-402: A handful of places. Ptolemy's real innovation, however, occurs in the second part of the book, where he provides a catalogue of 8,000 localities he collected from Marinus and others, the biggest such database from antiquity. About 6 300 of these places and geographic features have assigned coordinates so that they can be placed in a grid that spanned the globe. Latitude was measured from

1152-498: A long exposition on the relationship between reason and sense perception in corroborating theoretical assumptions. After criticizing the approaches of his predecessors, Ptolemy argues for basing musical intervals on mathematical ratios (as opposed to the ideas advocated by followers of Aristoxenus ), backed up by empirical observation (in contrast to the excessively theoretical approach of the Pythagoreans ). Ptolemy introduces

1296-601: A method for specifying the location of the Sun in three pairs of locally oriented coordinate arcs as a function of the declination of the Sun, the terrestrial latitude, and the hour. The key to the approach is to represent the solid configuration in a plane diagram that Ptolemy calls the analemma . In another work, the Phaseis ( Risings of the Fixed Stars ), Ptolemy gave a parapegma , a star calendar or almanac , based on

1440-466: A much later pseudepigraphical composition. The identity and date of the actual author of the work, referred to now as Pseudo-Ptolemy , remains the subject of conjecture. Ptolemy wrote a work entitled Harmonikon ( Greek : Ἁρμονικόν ), known as the Harmonics , on music theory and the mathematics behind musical scales in three books. Harmonics begins with a definition of harmonic theory, with

1584-558: A temple at Canopus , around 146–147 AD, known as the Canobic Inscription . Although the inscription has not survived, someone in the sixth century transcribed it, and manuscript copies preserved it through the Middle Ages. It begins: "To the saviour god, Claudius Ptolemy (dedicates) the first principles and models of astronomy", following by a catalogue of numbers that define a system of celestial mechanics governing

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1728-482: A thousand years or more". It was first translated from Arabic into Latin by Plato of Tivoli (Tiburtinus) in 1138, while he was in Spain. Much of the content of the Tetrabiblos was collected from earlier sources; Ptolemy's achievement was to order his material in a systematic way, showing how the subject could, in his view, be rationalized. It is, indeed, presented as the second part of the study of astronomy of which

1872-562: A view supported by the Stoics. Although mainly known for his contributions to astronomy and other scientific subjects, Ptolemy also engaged in epistemological and psychological discussions across his corpus. He wrote a short essay entitled On the Criterion and Hegemonikon ( Greek : Περὶ Κριτηρίου καὶ Ἡγεμονικοῡ ), which may have been one of his earliest works. Ptolemy deals specifically with how humans obtain scientific knowledge (i.e.,

2016-475: Is among the world's oldest and largest international institutions and has played a prominent role in the history and development of Western civilization . The church consists of 24 sui iuris churches , including the Latin Church and 23 Eastern Catholic Churches , which comprise almost 3,500 dioceses and eparchies around the world . The pope , who is the bishop of Rome, is the chief pastor of

2160-587: Is ancestral to the modern system of constellations but, unlike the modern system, they did not cover the whole sky (only what could be seen with the naked eye in the northern hemisphere). For over a thousand years, the Almagest was the authoritative text on astronomy across Europe, the Middle East, and North Africa. The Almagest was preserved, like many extant Greek scientific works, in Arabic manuscripts;

2304-540: Is generally regarded as an institution that has its origin in the Medieval Christian setting. The massive Islamic invasions of the mid-7th century began a long struggle between Christianity and Islam throughout the Mediterranean Basin. The Byzantine Empire soon lost the lands of the eastern patriarchates of Jerusalem , Alexandria and Antioch and was reduced to that of Constantinople,

2448-637: Is his Geographike Hyphegesis ( Greek : Γεωγραφικὴ Ὑφήγησις ; lit.   ' Guide to Drawing the Earth ' ), known as the Geography , a handbook on how to draw maps using geographical coordinates for parts of the Roman world known at the time. He relied on previous work by an earlier geographer, Marinus of Tyre , as well as on gazetteers of the Roman and ancient Persian Empire . He also acknowledged ancient astronomer Hipparchus for having provided

2592-596: Is of Homeric form . It was common among the Macedonian upper class at the time of Alexander the Great and there were several of this name among Alexander's army, one of whom made himself pharaoh in 323 BC: Ptolemy I Soter , the first pharaoh of the Ptolemaic Kingdom . Almost all subsequent pharaohs of Egypt, with a few exceptions, were named Ptolemy until Egypt became a Roman province in 30 BC, ending

2736-646: Is the Geography , which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world . The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the Apotelesmatika ( Greek : Αποτελεσματικά , lit.   ' On the Effects ' ) but more commonly known as

2880-685: Is the bishop of Rome , known as the pope ( Latin : papa , lit.   'father'), whose jurisdiction is called the Holy See ( Sancta Sedes in Latin). In parallel to the diocesan structure are a variety of religious institutes that function autonomously, often subject only to the authority of the pope, though sometimes subject to the local bishop. Most religious institutes only have male or female members but some have both. Additionally, lay members aid many liturgical functions during worship services. The Catholic Church has been described as

3024-474: Is the one, holy, catholic and apostolic church founded by Jesus Christ in his Great Commission , that its bishops are the successors of Christ's apostles , and that the pope is the successor to Saint Peter , upon whom primacy was conferred by Jesus Christ. It maintains that it practises the original Christian faith taught by the apostles, preserving the faith infallibly through scripture and sacred tradition as authentically interpreted through

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3168-491: Is the universal [katholike] Church." In the Catechetical Lectures ( c.  350 ) of Saint Cyril of Jerusalem , the name "Catholic Church" was used to distinguish it from other groups that also called themselves "the church". The "Catholic" notion was further stressed in the edict De fide Catolica issued 380 by Theodosius I , the last emperor to rule over both the eastern and the western halves of

3312-467: The Almagest , is the only surviving comprehensive ancient treatise on astronomy. Although Babylonian astronomers had developed arithmetical techniques for calculating and predicting astronomical phenomena, these were not based on any underlying model of the heavens; early Greek astronomers, on the other hand, provided qualitative geometrical models to "save the appearances" of celestial phenomena without

3456-651: The Pax Romana made travelling safe. The empire encouraged the spread of a common culture with Greek roots, which allowed ideas to be more easily expressed and understood. Unlike most religions in the Roman Empire, however, Christianity required its adherents to renounce all other gods, a practice adopted from Judaism (see Idolatry ). The Christians' refusal to join pagan celebrations meant they were unable to participate in much of public life, which caused non-Christians—including government authorities—to fear that

3600-580: The Tetrábiblos , from the Koine Greek meaning "Four Books", or by its Latin equivalent Quadripartite . The Catholic Church promoted his work, which included the only mathematically sound geocentric model of the Solar System , and unlike most Greek mathematicians , Ptolemy's writings (foremost the Almagest ) never ceased to be copied or commented upon, both in late antiquity and in

3744-662: The Almagest was the first, concerned with the influences of the celestial bodies in the sublunary sphere . Thus explanations of a sort are provided for the astrological effects of the planets , based upon their combined effects of heating, cooling, moistening, and drying. Ptolemy dismisses other astrological practices, such as considering the numerological significance of names, that he believed to be without sound basis, and leaves out popular topics, such as electional astrology (interpreting astrological charts to determine courses of action) and medical astrology , for similar reasons. The great respect in which later astrologers held

3888-809: The Byzantine–Seljuk Wars , which caused Urban to launch the First Crusade aimed at aiding the Byzantine Empire and returning the Holy Land to Christian control. In the 11th century , strained relations between the primarily Greek church and the Latin Church separated them in the East–West Schism, partially due to conflicts over papal authority. The Fourth Crusade and the sacking of Constantinople by renegade crusaders proved

4032-775: The Code of Canon Law (1983). "Catholic Church" is also used in the documents of the Second Vatican Council (1962–1965), the First Vatican Council (1869–1870), the Council of Trent (1545–1563), and numerous other official documents. The New Testament , in particular the Gospels , records Jesus' activities and teaching, his appointment of the Twelve Apostles and his Great Commission of

4176-614: The Council of Nicaea declared heretical . The resulting religious discord between Germanic rulers and Catholic subjects was avoided when, in 497, Clovis I , the Frankish ruler, converted to orthodox Catholicism, allying himself with the papacy and the monasteries. The Visigoths in Spain followed his lead in 589, and the Lombards in Italy in the course of the 7th century. Western Christianity , particularly through its monasteries ,

4320-733: The Edict of Thessalonica made Nicene Christianity the state church of the Roman Empire , a position that within the diminishing territory of the Byzantine Empire would persist until the empire itself ended in the fall of Constantinople in 1453, while elsewhere the church was independent of the empire, as became particularly clear with the East–West Schism . During the period of the Seven Ecumenical Councils , five primary sees emerged, an arrangement formalized in

4464-766: The English Reformation and the eventual development of Anglicanism . The Reformation contributed to clashes between the Protestant Schmalkaldic League and the Catholic Emperor Charles V and his allies. The first nine-year war ended in 1555 with the Peace of Augsburg but continued tensions produced a far graver conflict—the Thirty Years' War —which broke out in 1618. In France, a series of conflicts termed

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4608-607: The French Wars of Religion was fought from 1562 to 1598 between the Huguenots (French Calvinists ) and the forces of the French Catholic League , which were backed and funded by a series of popes. This ended under Pope Clement VIII , who hesitantly accepted King Henry IV's 1598 Edict of Nantes granting civil and religious toleration to French Protestants. The Council of Trent (1545–1563) became

4752-410: The Geography is likely to be of different dates, in addition to containing many scribal errors. However, although the regional and world maps in surviving manuscripts date from c.  1300 AD (after the text was rediscovered by Maximus Planudes ), there are some scholars who think that such maps go back to Ptolemy himself. Ptolemy wrote an astrological treatise, in four parts, known by

4896-608: The Immaculate Conception as a dogma in the Catholic Church . In 1870, the First Vatican Council affirmed the doctrine of papal infallibility when exercised in specifically defined pronouncements, striking a blow to the rival position of conciliarism . Controversy over this and other issues resulted in a breakaway movement called the Old Catholic Church , The Italian unification of

5040-712: The Italian Peninsula , imprisoning Pope Pius VI , who died in captivity. Napoleon later re-established the Catholic Church in France through the Concordat of 1801 . The end of the Napoleonic Wars brought Catholic revival and the return of the Papal States . In 1854, Pope Pius IX , with the support of the overwhelming majority of Catholic bishops, whom he had consulted from 1851 to 1853, proclaimed

5184-655: The Middle Ages . However, it is likely that only a few truly mastered the mathematics necessary to understand his works, as evidenced particularly by the many abridged and watered-down introductions to Ptolemy's astronomy that were popular among the Arabs and Byzantines. His work on epicycles has come to symbolize a very complex theoretical model built in order to explain a false assumption. Ptolemy's date of birth and birthplace are both unknown. The 14th-century astronomer Theodore Meliteniotes wrote that Ptolemy's birthplace

5328-788: The Optics, is a work that survives only in a somewhat poor Latin version, which, in turn, was translated from a lost Arabic version by Eugenius of Palermo ( c.  1154 ). In it, Ptolemy writes about properties of sight (not light), including reflection , refraction , and colour . The work is a significant part of the early history of optics and influenced the more famous and superior 11th-century Book of Optics by Ibn al-Haytham . Ptolemy offered explanations for many phenomena concerning illumination and colour, size, shape, movement, and binocular vision. He also divided illusions into those caused by physical or optical factors and those caused by judgmental factors. He offered an obscure explanation of

5472-589: The Oriental Orthodox Churches before the Council of Chalcedon in AD 451; all separated primarily over differences in Christology . The Eastern Catholic Churches, who have a combined membership of approximately 18 million, represent a body of Eastern Christians who returned or remained in communion with the pope during or following these schisms for a variety of historical circumstances. In

5616-552: The Polish People's Republic , became the first non-Italian pope in 455 years. His 26 1/2-year pontificate was one of the longest in history, and was credited with hastening the fall of communism in Europe. John Paul II sought to evangelize an increasingly secular world . He travelled more than any other pope, visiting 129 countries, and used television and radio as means of spreading the church's teachings. He also emphasized

5760-875: The Protestant Reformation of the 16th century, when those who ceased to be in communion became known as Protestants. While the Roman Church has been used to describe the pope's Diocese of Rome since the Fall of the Western Roman Empire and into the Early Middle Ages (6th–10th century), Roman Catholic Church has been applied to the whole church in the English language since the Protestant Reformation in

5904-674: The Roman Empire , when establishing the state church of the Roman Empire . Since the East–West Schism of 1054, the Eastern Orthodox Church has taken the adjective Orthodox as its distinctive epithet; its official name continues to be the Orthodox Catholic Church. The Latin Church was described as Catholic , with that description also denominating those in communion with the Holy See after

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6048-463: The Tetrabiblos derived from its nature as an exposition of theory, rather than as a manual. A collection of one hundred aphorisms about astrology called the Centiloquium , ascribed to Ptolemy, was widely reproduced and commented on by Arabic, Latin, and Hebrew scholars, and often bound together in medieval manuscripts after the Tetrabiblos as a kind of summation. It is now believed to be

6192-669: The Tridentine Mass as found in the Roman Missal of 1962, which he titled the "Extraordinary Form". Citing the frailties of advanced age, Benedict resigned in 2013, becoming the first pope to do so in nearly 600 years. Pope Francis, the current pope of the Catholic Church, became in 2013 the first pope from the Americas, the first from the Southern Hemisphere , and the first Pope from outside Europe since

6336-418: The University of Oxford , University of Paris , and University of Bologna . Higher education before then had been the domain of Christian cathedral schools or monastic schools, led by monks and nuns . Evidence of such schools dates back to the 6th century CE. These new universities expanded the curriculum to include academic programs for clerics, lawyers, civil servants, and physicians. The university

6480-444: The dignity of work and natural rights of labourers to have fair wages and safe conditions in Laborem exercens . He emphasized several church teachings, including moral exhortations against abortion, euthanasia , and against widespread use of the death penalty, in Evangelium Vitae . Pope Benedict XVI , elected in 2005, was known for upholding traditional Christian values against secularization , and for increasing use of

6624-461: The equator , as it is today, but Ptolemy preferred to express it as climata , the length of the longest day rather than degrees of arc : The length of the midsummer day increases from 12h to 24h as one goes from the equator to the polar circle . One of the places Ptolemy noted specific coordinates for was the now-lost stone tower which marked the midpoint on the ancient Silk Road , and which scholars have been trying to locate ever since. In

6768-519: The harmonic canon (Greek name) or monochord (Latin name), which is an experimental musical apparatus that he used to measure relative pitches, and used to describe to his readers how to demonstrate the relations discussed in the following chapters for themselves. After the early exposition on to build and use monochord to test proposed tuning systems, Ptolemy proceeds to discuss Pythagorean tuning (and how to demonstrate that their idealized musical scale fails in practice). The Pythagoreans believed that

6912-445: The magisterium of the church. The Roman Rite and others of the Latin Church, the Eastern Catholic liturgies , and institutes such as mendicant orders , enclosed monastic orders and third orders reflect a variety of theological and spiritual emphases in the church. Of its seven sacraments , the Eucharist is the principal one, celebrated liturgically in the Mass . The church teaches that through consecration by

7056-421: The spherical Earth on invisible orbs, while an eighth sphere contained the fixed stars . Motion was provided to the whole system by the Primum Mobile, itself set within the Empyrean , and the fastest moving of all the spheres. The total number of celestial spheres was not fixed. In this 16th-century illustration, the firmament (sphere of fixed stars) is eighth, a "crystalline" sphere (posited to account for

7200-430: The "criterion" of truth), as well as with the nature and structure of the human psyche or soul, particularly its ruling faculty (i.e., the hegemonikon ). Ptolemy argues that, to arrive at the truth, one should use both reason and sense perception in ways that complement each other. On the Criterion is also noteworthy for being the only one of Ptolemy's works that is devoid of mathematics . Elsewhere, Ptolemy affirms

7344-422: The 14th century. To escape instability in Rome, Clement V in 1309 became the first of seven popes to reside in the fortified city of Avignon in southern France during a period known as the Avignon Papacy . The Avignon Papacy ended in 1376 when the pope returned to Rome, but was followed in 1378 by the 38-year-long Western schism , with claimants to the papacy in Rome, Avignon and (after 1409) Pisa. The matter

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7488-412: The 16th century, the Reformation led to the formation of separate, Protestant groups. From the late 20th century, the Catholic Church has been criticized for its teachings on sexuality , its doctrine against ordaining women , and its handling of sexual abuse cases involving clergy. Catholic (from Greek : καθολικός , romanized :  katholikos , lit.   'universal')

7632-414: The 1860s incorporated the Papal States, including Rome itself from 1870, into the Kingdom of Italy , thus ending the papacy's temporal power . In response, Pope Pius IX excommunicated King Victor Emmanuel II , refused payment for the land, and rejected the Italian Law of Guarantees , which granted him special privileges. To avoid placing himself in visible subjection to the Italian authorities, he remained

7776-522: The 1960s, Pope John XXIII convened the Second Vatican Council , which ushered in radical change to church ritual and practice, and in the later 20th century, the long reign of Pope John Paul II contributed to the fall of communism in Europe, and a new public and international role for the papacy. From the late 20th century, the Catholic Church has been criticized for its doctrines on sexuality , its inability to ordain women , and its handling of sexual abuse cases . Pope Pius X (1903–1914) renewed

7920-399: The 20th century, the majority have resided in the Global South , partially due to secularization in Europe and North America. The Catholic Church shared communion with the Eastern Orthodox Church until the East–West Schism in 1054, disputing particularly the authority of the pope . Before the Council of Ephesus in AD 431, the Church of the East also shared in this communion, as did

8064-408: The 21st century. Pope Gregory VII further initiated the Gregorian Reforms regarding the independence of the clergy from secular authority. This led to the Investiture Controversy between the church and the Holy Roman Emperors , over which had the authority to appoint bishops and popes. In 1095, Byzantine emperor Alexius I appealed to Pope Urban II for help against renewed Muslim invasions in

8208-416: The Americas, Asia and Oceania by explorers, conquistadors, and missionaries, as well as by the transformation of societies through the socio-political mechanisms of colonial rule. Pope Alexander VI had awarded colonial rights over most of the newly discovered lands to Spain and Portugal and the ensuing patronato system allowed state authorities, not the Vatican, to control all clerical appointments in

8352-402: The Byzantine Empire lost to the Lombards the city of Ravenna from which it governed the small fragments of Italy, including Rome, that acknowledged its sovereignty. The fall of Ravenna meant that confirmation by a no longer existent exarch was not asked for during the election in 752 of Pope Stephen II and that the papacy was forced to look elsewhere for a civil power to protect it. In 754, at

8496-405: The Catholic and Orthodox churches. Several eastern churches reunited, forming the majority of the Eastern Catholic Churches . The Age of Discovery beginning in the 15th century saw the expansion of Western Europe's political and cultural influence worldwide. Because of the prominent role the strongly Catholic nations of Spain and Portugal played in Western colonialism, Catholicism was spread to

8640-422: The Christians were angering the gods and thereby threatening the peace and prosperity of the Empire. The resulting persecutions were a defining feature of Christian self-understanding until Christianity was legalized in the 4th century. In 313, Emperor Constantine I 's Edict of Milan legalized Christianity, and in 330 Constantine moved the imperial capital to Constantinople , modern Istanbul, Turkey . In 380

8784-406: The Earth on its polar axis – as seen in a heliocentric solar system, which (while anticipated by Aristarchus ) was not to be widely accepted until well after Copernicus – leads to what earlier astronomers saw as the real movement of all the heavenly bodies around the Earth every 24 hours. Astronomers believed that the seven naked-eye planets (including the Moon and the Sun) were carried around

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8928-457: The Edict of Nantes by King Louis XIV of France , which ended a century-long policy of religious toleration of Protestant Huguenots. As the papacy resisted pushes for Gallicanism , the French Revolution of 1789 shifted power to the state, caused the destruction of churches, the establishment of a Cult of Reason , and the martyrdom of nuns during the Reign of Terror . In 1798, Napoleon Bonaparte 's General Louis-Alexandre Berthier invaded

9072-401: The European imperial powers' conquest of Africa during the late nineteenth century. According to the historian of religion Adrian Hastings , Catholic missionaries were generally unwilling to defend African rights or encourage Africans to see themselves as equals to Europeans, in contrast to Protestant missionaries, who were more willing to oppose colonial injustices. During the 20th century,

9216-436: The French astronomer Delambre in the early 1800s which were repeated by R.R. Newton. Specifically, it proved Hipparchus was not the sole source of Ptolemy's catalog, as they both had claimed, and proved that Ptolemy did not simply copy Hipparchus' measurements and adjust them to account for precession of the equinoxes, as they had claimed. Scientists analyzing the charts concluded: It also confirms that Ptolemy’s Star Catalogue

9360-425: The Greek term Tetrabiblos (lit. "Four Books") or by its Latin equivalent Quadripartitum . Its original title is unknown, but may have been a term found in some Greek manuscripts, Apotelesmatiká ( biblía ), roughly meaning "(books) on the Effects" or "Outcomes", or "Prognostics". As a source of reference, the Tetrabiblos is said to have "enjoyed almost the authority of a Bible among the astrological writers of

9504-447: The Holy See, or the Apostolic See (meaning the see of the apostle Peter). Directly serving the pope is the Roman Curia, the central governing body that administers the day-to-day business of the Catholic Church. The pope is also sovereign of Vatican City, a small city-state entirely enclaved within the city of Rome, which is an entity distinct from the Holy See. It is as head of the Holy See, not as head of Vatican City State, that

9648-444: The Macedonian family's rule. The name Claudius is a Roman name, belonging to the gens Claudia ; the peculiar multipart form of the whole name Claudius Ptolemaeus is a Roman custom, characteristic of Roman citizens. This indicates that Ptolemy would have been a Roman citizen . Gerald Toomer, the translator of Ptolemy's Almagest into English, suggests that citizenship was probably granted to one of Ptolemy's ancestors by either

9792-402: The Pope's insistence on public neutrality and diplomatic language has become a source of much criticism and debate. Nevertheless, in every country under German occupation, priests played a major part in rescuing Jews. Israeli historian Pinchas Lapide estimated that Catholic rescue of Jews amounted to somewhere between 700,000 and 860,000 people. The Nazi persecution of the Catholic Church

9936-410: The Reformation, which gave birth to the great majority of Protestant denominations and also crypto-Protestantism within the Catholic Church. Meanwhile, Henry VIII petitioned Pope Clement VII for a declaration of nullity concerning his marriage to Catherine of Aragon . When this was denied, he had the Acts of Supremacy passed to make himself Supreme Head of the Church of England , spurring

10080-499: The Second World War, also because they had powerful supporters from the Vatican. The judgment of Pius XII is made more difficult by the sources, because the church archives for his tenure as nuncio, cardinal secretary of state and pope are in part closed or not yet processed. The Second Vatican Council (1962–65) introduced the most significant changes to Catholic practices since the Council of Trent, four centuries before. Initiated by Pope John XXIII, this ecumenical council modernized

10224-455: The Sun or Moon illusion (the enlarged apparent size on the horizon) based on the difficulty of looking upwards. The work is divided into three major sections. The first section (Book II) deals with direct vision from first principles and ends with a discussion of binocular vision. The second section (Books III-IV) treats reflection in plane, convex, concave, and compound mirrors. The last section (Book V) deals with refraction and includes

10368-586: The War, and established aid networks to help victims, but he secretly assisted the anti-Hitler resistance and shared intelligence with the Allies. His first encyclical Summi Pontificatus (1939) expressed dismay at the 1939 Invasion of Poland and reiterated Catholic teaching against racism. He expressed concern against race killings on Vatican Radio , and intervened diplomatically to attempt to block Nazi deportations of Jews in various countries from 1942 to 1944. But

10512-422: The ability to make any predictions. The earliest person who attempted to merge these two approaches was Hipparchus , who produced geometric models that not only reflected the arrangement of the planets and stars but could be used to calculate celestial motions. Ptolemy, following Hipparchus, derived each of his geometrical models for the Sun, Moon, and the planets from selected astronomical observations done in

10656-575: The apostles, instructing them to continue his work. The book Acts of Apostles , tells of the founding of the Christian church and the spread of its message to the Roman Empire. The Catholic Church teaches that its public ministry began on Pentecost , occurring fifty days following the date Christ is believed to have resurrected . At Pentecost, the apostles are believed to have received the Holy Spirit, preparing them for their mission in leading

10800-528: The appearances and disappearances of stars over the course of the solar year. The Planisphaerium ( Greek : Ἅπλωσις ἐπιφανείας σφαίρας , lit.   ' Flattening of the sphere ' ) contains 16 propositions dealing with the projection of the celestial circles onto a plane. The text is lost in Greek (except for a fragment) and survives in Arabic and Latin only. Ptolemy also erected an inscription in

10944-527: The areas under his control definitively established a form of caesaropapism , in which "he had the right and duty of regulating by his laws the minutest details of worship and discipline, and also of dictating the theological opinions to be held in the Church", re-established imperial power over Rome and other parts of the West, initiating the period termed the Byzantine Papacy (537–752), during which

11088-626: The bishops of Rome, or popes, required approval from the emperor in Constantinople or from his representative in Ravenna for consecration, and most were selected by the emperor from his Greek-speaking subjects, resulting in a "melting pot" of Western and Eastern Christian traditions in art as well as liturgy. Most of the Germanic tribes who in the following centuries invaded the Roman Empire had adopted Christianity in its Arian form, which

11232-403: The book on astrology and attributed it to Ptolemy". Historical confusion on this point can be inferred from Abu Ma'shar's subsequent remark: "It is sometimes said that the very learned man who wrote the book of astrology also wrote the book of the Almagest . The correct answer is not known." Not much positive evidence is known on the subject of Ptolemy's ancestry, apart from what can be drawn from

11376-496: The church's approach to ecumenism , and a call to improved relations with non-Christian religions, especially Judaism, in its document Nostra aetate . The council, however, generated significant controversy in implementing its reforms: proponents of the " Spirit of Vatican II " such as Swiss theologian Hans Küng said that Vatican II had "not gone far enough" to change church policies. Traditionalist Catholics , such as Archbishop Marcel Lefebvre , however, strongly criticized

11520-466: The church's global reach continued to grow, despite the rise of anti-Catholic authoritarian regimes and the collapse of European Empires, accompanied by a general decline in religious observance in the West. Under Popes Benedict XV , and Pius XII , the Holy See sought to maintain public neutrality through the World Wars, acting as peace broker and delivering aid to the victims of the conflicts. In

11664-592: The church. The Catholic Church teaches that the college of bishops , led by the bishop of Rome are the successors to the Apostles. In the account of the Confession of Peter found in the Gospel of Matthew , Christ designates Peter as the "rock" upon which Christ's church will be built. The Catholic Church considers the bishop of Rome, the pope, to be the successor to Saint Peter . Some scholars state Peter

11808-422: The church. There are three levels of clergy: the episcopate, composed of bishops who hold jurisdiction over a geographic area called a diocese or eparchy ; the presbyterate, composed of priests ordained by bishops and who work in local dioceses or religious orders; and the diaconate, composed of deacons who assist bishops and priests in a variety of ministerial roles. Ultimately leading the entire Catholic Church

11952-621: The church. The Diocese of Rome , known as the Holy See , is the central governing authority of the church. The administrative body of the Holy See, the Roman Curia , has its principal offices in Vatican City , which is a small, independent city-state and enclave within the city of Rome , of which the pope is head of state . The core beliefs of Catholicism are found in the Nicene Creed . The Catholic Church teaches that it

12096-867: The conflict. Catholic clergy played a leading role in the government of the fascist Slovak State , which collaborated with the Nazis, copied their anti-Semitic policies, and helped them carry out the Holocaust in Slovakia. Jozef Tiso , the President of the Slovak State and a Catholic priest, supported his government's deportation of Slovakian Jews to extermination camps. The Vatican protested against these Jewish deportations in Slovakia and in other Nazi puppet regimes including Vichy France , Croatia, Bulgaria , Italy and Hungary. Around 1943, Adolf Hitler planned

12240-522: The council, arguing that its liturgical reforms led "to the destruction of the Holy Sacrifice of the Mass and the sacraments", among other issues. The teaching on the morality of contraception also came under scrutiny; after a series of disagreements, Humanae vitae upheld the church's prohibition of all forms of contraception. In 1978, Pope John Paul II , formerly Archbishop of Kraków in

12384-510: The data needed to compute the positions of the Sun, Moon and planets, the rising and setting of the stars, and eclipses of the Sun and Moon, making it a useful tool for astronomers and astrologers. The tables themselves are known through Theon of Alexandria 's version. Although Ptolemy's Handy Tables do not survive as such in Arabic or in Latin, they represent the prototype of most Arabic and Latin astronomical tables or zījes . Additionally,

12528-747: The details of his name, although modern scholars have concluded that Abu Ma'shar's account is erroneous. It is no longer doubted that the astronomer who wrote the Almagest also wrote the Tetrabiblos as its astrological counterpart. In later Arabic sources, he was often known as "the Upper Egyptian ", suggesting he may have had origins in southern Egypt . Arabic astronomers , geographers , and physicists referred to his name in Arabic as Baṭlumyus ( Arabic : بَطْلُمْيوس ). Ptolemy wrote in Koine Greek , and can be shown to have used Babylonian astronomical data . He might have been

12672-435: The development of the role of the papacy in the subsequent church". These roles, Brown says, "contributed enormously to seeing the bishop of Rome, the bishop of the city where Peter died and where Paul witnessed the truth of Christ, as the successor of Peter in care for the church universal". Conditions in the Roman Empire facilitated the spread of new ideas. The empire's network of roads and waterways facilitated travel, and

12816-554: The driving force behind the Counter-Reformation in response to the Protestant movement. Doctrinally, it reaffirmed central Catholic teachings such as transubstantiation and the requirement for love and hope as well as faith to attain salvation. In subsequent centuries, Catholicism spread widely across the world, in part through missionaries and imperialism , although its hold on European populations declined due to

12960-402: The earliest surviving table of refraction from air to water, for which the values (with the exception of the 60° angle of incidence) show signs of being obtained from an arithmetic progression. However, according to Mark Smith, Ptolemy's table was based in part on real experiments. Ptolemy's theory of vision consisted of rays (or flux) coming from the eye forming a cone, the vertex being within

13104-735: The eighth-century Gregory III . Francis has made efforts to further close Catholicism's estrangement with the Eastern churches. His installation was attended by Patriarch Bartholomew I of Constantinople of the Eastern Orthodox Church, the first time since the Great Schism of 1054 that the Eastern Orthodox Ecumenical Patriarch of Constantinople has attended a papal installation, while he also met Patriarch Kirill of Moscow , head of

13248-469: The elevation of the north celestial pole for a few cities. Although maps based on scientific principles had been made since the time of Eratosthenes ( c.  276  – c.  195 BC ), Ptolemy improved on map projections . The first part of the Geography is a discussion of the data and of the methods he used. Ptolemy notes the supremacy of astronomical data over land measurements or travelers' reports, though he possessed these data for only

13392-553: The emperor Claudius or the emperor Nero . The 9th century Persian astronomer Abu Ma'shar al-Balkhi mistakenly presents Ptolemy as a member of Ptolemaic Egypt's royal lineage , stating that the descendants of the Alexandrine general and Pharaoh Ptolemy I Soter were wise "and included Ptolemy the Wise, who composed the book of the Almagest ". Abu Ma'shar recorded a belief that a different member of this royal line "composed

13536-689: The empire's capital. As a result of Islamic domination of the Mediterranean , the Frankish state, centred away from that sea, was able to evolve as the dominant power that shaped the Western Europe of the Middle Ages. The battles of Toulouse and Poitiers halted the Islamic advance in the West and the failed siege of Constantinople halted it in the East. Two or three decades later, in 751,

13680-425: The empirical musical relations he identified by testing pitches against each other: He was able to accurately measure relative pitches based on the ratios of vibrating lengths two separate sides of the same single string , hence which were assured to be under equal tension, eliminating one source of error. He analyzed the empirically determined ratios of "pleasant" pairs of pitches, and then synthesised all of them into

13824-419: The eye, and the base defining the visual field. The rays were sensitive, and conveyed information back to the observer's intellect about the distance and orientation of surfaces. Size and shape were determined by the visual angle subtended at the eye combined with perceived distance and orientation. This was one of the early statements of size-distance invariance as a cause of perceptual size and shape constancy,

13968-455: The final breach. In this age great gothic cathedrals in France were an expression of popular pride in the Christian faith. In the early 13th century mendicant orders were founded by Francis of Assisi and Dominic de Guzmán . The studia conventualia and studia generalia of the mendicant orders played a large role in the transformation of church-sponsored cathedral schools and palace schools, such as that of Charlemagne at Aachen , into

14112-529: The growth of religious scepticism during and after the Enlightenment. From the 17th century onward, the Enlightenment questioned the power and influence of the Catholic Church over Western society. In the 18th century, writers such as Voltaire and the Encyclopédistes wrote biting critiques of both religion and the Catholic Church. One target of their criticism was the 1685 revocation of

14256-562: The highest honour. Despite being a minority position among ancient philosophers, Ptolemy's views were shared by other mathematicians such as Hero of Alexandria . There are several characters and items named after Ptolemy, including: Catholic Church God Schools Relations with: The Catholic Church , also known as the Roman Catholic Church , is the largest Christian church , with 1.28 to 1.39 billion baptized Catholics worldwide as of 2024. It

14400-553: The history of science". One striking error noted by Newton was an autumn equinox said to have been observed by Ptolemy and "measured with the greatest care" at 2pm on 25 September 132, when the equinox should have been observed around 9:55am the day prior. In attempting to disprove Newton, Herbert Lewis also found himself agreeing that "Ptolemy was an outrageous fraud," and that "all those result capable of statistical analysis point beyond question towards fraud and against accidental error". The charges laid by Newton and others have been

14544-531: The independence of papal office by abolishing the veto of Catholic powers in papal elections, and his successors Benedict XV (1914–1922) and Pius XI (1922–1939) concluded the modern independence of the Vatican State within Italy. Benedict XV was elected at the outbreak of the First World War . He attempted to mediate between the powers and established a Vatican relief office, to assist victims of

14688-616: The introduction to the Handy Tables survived separately from the tables themselves (apparently part of a gathering of some of Ptolemy's shorter writings) under the title Arrangement and Calculation of the Handy Tables . The Planetary Hypotheses ( Greek : Ὑποθέσεις τῶν πλανωμένων , lit.   ' Hypotheses of the Planets ' ) is a cosmological work, probably one of the last written by Ptolemy, in two books dealing with

14832-602: The kidnapping of the Pope and his internment in Germany. He gave SS General Wolff a corresponding order to prepare for the action. While Pope Pius XII has been credited with helping to save hundreds of thousands of Jews during the Holocaust , the church has also been accused of having encouraged centuries of antisemitism by its teachings and not doing enough to stop Nazi atrocities. Many Nazi criminals escaped overseas after

14976-591: The largest Eastern Orthodox church, in 2016; this was reported as the first such high-level meeting between the two churches since the Great Schism of 1054. In 2017 during a visit in Egypt , Pope Francis reestablished mutual recognition of baptism with the Coptic Orthodox Church . The Catholic Church follows an episcopal polity , led by bishops who have received the sacrament of Holy Orders who are given formal jurisdictions of governance within

15120-550: The late 16th century. Further, some will refer to the Latin Church as Roman Catholic in distinction from the Eastern Catholic churches. "Roman Catholic" has occasionally appeared also in documents produced both by the Holy See, and notably used by certain national episcopal conferences and local dioceses. The name Catholic Church for the whole church is used in the Catechism of the Catholic Church (1990) and

15264-500: The mathematics of music should be based on only the one specific ratio of 3:2, the perfect fifth , and believed that tunings mathematically exact to their system would prove to be melodious, if only the extremely large numbers involved could be calculated (by hand). To the contrary, Ptolemy believed that musical scales and tunings should in general involve multiple different ratios arranged to fit together evenly into smaller tetrachords (combinations of four pitch ratios which together make

15408-577: The mid-6th century by Emperor Justinian I as the pentarchy of Rome, Constantinople , Antioch , Jerusalem and Alexandria . In 451 the Council of Chalcedon , in a canon of disputed validity, elevated the see of Constantinople to a position "second in eminence and power to the bishop of Rome". From c.  350  – c.  500 , the bishops, or popes, of Rome, steadily increased in authority through their consistent intervening in support of orthodox leaders in theological disputes, which encouraged appeals to them. Emperor Justinian , who in

15552-566: The modern title is thought to be an Arabic corruption of the Greek name Hē Megistē Syntaxis (lit. "The greatest treatise"), as the work was presumably known in Late Antiquity . Because of its reputation, it was widely sought and translated twice into Latin in the 12th century , once in Sicily and again in Spain. Ptolemy's planetary models, like those of the majority of his predecessors, were geocentric and almost universally accepted until

15696-477: The motions of the Sun, Moon, planets, and stars. In 2023, archaeologists were able to read a manuscript which gives instructions for the construction of an astronomical tool called a meteoroscope ( μετεωροσκόπιον or μετεωροσκοπεῖον ). The text, which comes from an eighth-century manuscript which also contains Ptolemy's Analemma , was identified on the basis of both its content and linguistic analysis as being by Ptolemy. Ptolemy's second most well-known work

15840-741: The new colonies. In 1521 the Portuguese explorer Ferdinand Magellan made the first Catholic converts in the Philippines . Elsewhere, Portuguese missionaries under the Spanish Jesuit Francis Xavier evangelized in India, China, and Japan. The French colonization of the Americas beginning in the 16th century established a Catholic francophone population and forbade non-Catholics to settle in Quebec . In 1415, Jan Hus

15984-458: The numerous visual artists sponsored by the church. Historian Paul Legutko of Stanford University said the Catholic Church is "at the center of the development of the values, ideas, science, laws, and institutions which constitute what we call Western civilization ". In Western Christendom , the first universities in Europe were established by monks. Beginning in the 11th century, several older cathedral schools became universities, such as

16128-461: The observations were taken at 12:30pm. The overall quality of Ptolemy's observations has been challenged by several modern scientists, but prominently by Robert R. Newton in his 1977 book The Crime of Claudius Ptolemy , which asserted that Ptolemy fabricated many of his observations to fit his theories. Newton accused Ptolemy of systematically inventing data or doctoring the data of earlier astronomers, and labelled him "the most successful fraud in

16272-406: The oldest multinational organization in the world. The hierarchy of the Catholic Church is headed by the pope, currently Pope Francis , who was elected on 13 March 2013 by a papal conclave . The office of the pope is known as the papacy . The Catholic Church holds that Christ instituted the papacy upon giving the keys of Heaven to Saint Peter . His ecclesiastical jurisdiction is called

16416-624: The pope receives ambassadors of states and sends them his own diplomatic representatives. The Holy See also confers orders, decorations and medals , such as the orders of chivalry originating from the Middle Ages . While the famous Saint Peter's Basilica is located in Vatican City, above the traditional site of Saint Peter's tomb , the papal cathedral for the Diocese of Rome is the Archbasilica of Saint John Lateran , located within

16560-412: The practices of the Catholic Church, allowing the Mass to be said in the vernacular (local language) and encouraging "fully conscious, and active participation in liturgical celebrations". It intended to engage the church more closely with the present world ( aggiornamento ), which was described by its advocates as an "opening of the windows". In addition to changes in the liturgy, it led to changes to

16704-683: The preservation and transmission of ancient culture. During this period, monastic Ireland became a centre of learning and early Irish missionaries such as Columbanus and Columba spread Christianity and established monasteries across continental Europe. The Catholic Church was the dominant influence on Western civilization from Late Antiquity to the dawn of the modern age. It was the primary sponsor of Romanesque, Gothic, Renaissance, Mannerist and Baroque styles in art, architecture and music. Renaissance figures such as Raphael , Michelangelo , Leonardo da Vinci , Botticelli , Fra Angelico , Tintoretto , Titian , Bernini and Caravaggio are examples of

16848-462: The prominent universities of Europe. Scholastic theologians and philosophers such as the Dominican priest Thomas Aquinas studied and taught at these studia. Aquinas' Summa Theologica was an intellectual milestone in its synthesis of the legacy of ancient Greek philosophers such as Plato and Aristotle with the content of Christian revelation. A growing sense of church-state conflicts marked

16992-401: The radius of the sphere of the fixed stars was 20 000 times the radius of the Earth. The work is also notable for having descriptions on how to build instruments to depict the planets and their movements from a geocentric perspective, much as an orrery would have done for a heliocentric one, presumably for didactic purposes. The Analemma is a short treatise where Ptolemy provides

17136-486: The reappearance of heliocentric models during the scientific revolution . Under the scrutiny of modern scholarship, and the cross-checking of observations contained in the Almagest against figures produced through backwards extrapolation, various patterns of errors have emerged within the work. A prominent miscalculation is Ptolemy's use of measurements that he claimed were taken at noon, but which systematically produce readings now shown to be off by half an hour, as if

17280-602: The reference to "waters ... above the firmament" in Genesis 1:7) is ninth, and the Primum Mobile is tenth. Outside all is the Empyrean , the "habitation of God and all the elect ". Copernicus accepted existence of the sphere of the fixed stars, and (more ambiguously) that of the Primum Mobile, as too (initially) did Galileo – though he would later challenge its necessity in a heliocentric system. Francis Bacon

17424-590: The schism was reconciled, unresolved issues would lead to further division. In the 11th century, the efforts of Hildebrand of Sovana led to the creation of the College of Cardinals to elect new popes, starting with Pope Alexander II in the papal election of 1061 . When Alexander II died, Hildebrand was elected to succeed him, as Pope Gregory VII . The basic election system of the College of Cardinals which Gregory VII helped establish has continued to function into

17568-405: The secondary literature, while noting that issues with the accuracy of Ptolemy's observations had long been known. Other authors have pointed out that instrument warping or atmospheric refraction may also explain some of Ptolemy's observations at a wrong time. In 2022 the first Greek fragments of Hipparchus' lost star catalog were discovered in a palimpsest and they debunked accusations made by

17712-474: The spanning of more than 800 years; however, many astronomers have for centuries suspected that some of his models' parameters were adopted independently of observations. Ptolemy presented his astronomical models alongside convenient tables, which could be used to compute the future or past position of the planets. The Almagest also contains a star catalogue , which is a version of a catalogue created by Hipparchus . Its list of forty-eight constellations

17856-451: The spheres ). Although Ptolemy's Harmonics never had the influence of his Almagest or Geography , it is nonetheless a well-structured treatise and contains more methodological reflections than any other of his writings. In particular, it is a nascent form of what in the following millennium developed into the scientific method, with specific descriptions of the experimental apparatus that he built and used to test musical conjectures, and

18000-440: The structure of the universe and the laws that govern celestial motion . Ptolemy goes beyond the mathematical models of the Almagest to present a physical realization of the universe as a set of nested spheres, in which he used the epicycles of his planetary model to compute the dimensions of the universe. He estimated the Sun was at an average distance of 1 210 Earth radii (now known to actually be ~23 450 radii), while

18144-517: The subject of wide discussions and received significant push back from other scholars against the findings. Owen Gingerich , while agreeing that the Almagest contains "some remarkably fishy numbers", including in the matter of the 30-hour displaced equinox, which he noted aligned perfectly with predictions made by Hipparchus 278 years earlier, rejected the qualification of fraud. Objections were also raised by Bernard Goldstein , who questioned Newton's findings and suggested that he had misunderstood

18288-501: The supremacy of mathematical knowledge over other forms of knowledge. Like Aristotle before him, Ptolemy classifies mathematics as a type of theoretical philosophy; however, Ptolemy believes mathematics to be superior to theology or metaphysics because the latter are conjectural while only the former can secure certain knowledge. This view is contrary to the Platonic and Aristotelian traditions, where theology or metaphysics occupied

18432-521: The term "bishop of Rome" to the most prominent members of the clergy in the earlier period and also to Peter himself. On this basis protestant scholars Oscar Cullmann , Henry Chadwick , and Bart D. Ehrman question whether there was a formal link between Peter and the modern papacy. Raymond E. Brown also says that it is anachronistic to speak of Peter in terms of local bishop of Rome, but that Christians of that period would have looked on Peter as having "roles that would contribute in an essential way to

18576-587: The third part of the Geography , Ptolemy gives instructions on how to create maps both of the whole inhabited world ( oikoumenē ) and of the Roman provinces, including the necessary topographic lists, and captions for the maps. His oikoumenē spanned 180 degrees of longitude from the Blessed Islands in the Atlantic Ocean to the middle of China , and about 80 degrees of latitude from Shetland to anti-Meroe (east coast of Africa ); Ptolemy

18720-597: The urgent request of Pope Stephen, the Frankish king Pepin the Short conquered the Lombards. He then gifted the lands of the former exarchate to the pope, thus initiating the Papal States . Rome and the Byzantine East would delve into further conflict during the Photian schism of the 860s, when Photius criticized the Latin west of adding of the filioque clause after being excommunicated by Nicholas I . Though

18864-620: The war and reunite families. The interwar Pope Pius XI modernized the papacy, appointing 40 indigenous bishops and concluding fifteen concordats, including the Lateran Treaty with Italy which founded the Vatican City State . His successor Pope Pius XII led the Catholic Church through the Second World War and early Cold War . Like his predecessors, Pius XII sought to publicly maintain Vatican neutrality in

19008-428: The world, and is the largest non-government provider of education and health care in the world. Among its other social services are numerous charitable and humanitarian organizations. The Catholic Church has profoundly influenced Western philosophy , culture , art , literature , music , law , and science . Catholics live all over the world through missions , immigration , diaspora , and conversions . Since

19152-466: Was Ptolemais Hermiou , a Greek city in the Thebaid region of Egypt (now El Mansha, Sohag Governorate ). This attestation is quite late, however, and there is no evidence to support it. It is known that Ptolemy lived in or around the city of Alexandria , in the Roman province of Egypt under Roman rule . He had a Latin name, Claudius, which is generally taken to imply he was a Roman citizen . He

19296-487: Was a major factor in preserving classical civilization , with its art (see Illuminated manuscript ) and literacy. Through his Rule , Benedict of Nursia ( c.  480 –543), one of the founders of Western monasticism , exerted an enormous influence on European culture through the appropriation of the monastic spiritual heritage of the early Catholic Church and, with the spread of the Benedictine tradition, through

19440-431: Was an Alexandrian mathematician , astronomer , astrologer , geographer , and music theorist who wrote about a dozen scientific treatises , three of which were important to later Byzantine , Islamic , and Western European science. The first was his astronomical treatise now known as the Almagest , originally entitled Mathematical Treatise ( Greek : Μαθηματικὴ Σύνταξις , Mathēmatikḗ Syntaxis ). The second

19584-512: Was as sceptical of the Primum Mobile as he was of the rotation of the earth. Once Kepler had made the sun, not the Primum Mobile, the cause of planetary motion, however, the Primum Mobile gradually declined into the realm of metaphor or literary allusion. Ptolemy This is an accepted version of this page Claudius Ptolemy ( / ˈ t ɒ l ə m i / ; ‹See Tfd› Greek : Πτολεμαῖος , Ptolemaios ; Latin : Claudius Ptolemaeus ; c.  100  – c.  170 AD)

19728-530: Was at its most intense in Poland , and Catholic resistance to Nazism took various forms. Some 2,579 Catholic clergy were sent to the Priest Barracks of Dachau Concentration Camp , including 400 Germans. Thousands of priests, nuns and brothers were imprisoned, taken to a concentration camp, tortured and murdered, including Saints Maximilian Kolbe and Edith Stein . Catholics fought on both sides in

19872-645: Was burned at the stake for heresy, but his reform efforts encouraged Martin Luther , an Augustinian friar in modern-day Germany, who sent his Ninety-five Theses to several bishops in 1517. His theses protested key points of Catholic doctrine as well as the sale of indulgences , and along with the Leipzig Debate this led to his excommunication in 1521. In Switzerland , Huldrych Zwingli , John Calvin and other Protestant Reformers further criticized Catholic teachings. These challenges developed into

20016-628: Was familiar with Greek philosophers and used Babylonian observations and Babylonian lunar theory. In half of his extant works, Ptolemy addresses a certain Syrus, a figure of whom almost nothing is known but who likely shared some of Ptolemy's astronomical interests. Ptolemy died in Alexandria c.  168 . Ptolemy's Greek name , Ptolemaeus ( Πτολεμαῖος , Ptolemaîos ), is an ancient Greek personal name . It occurs once in Greek mythology and

20160-464: Was first used to describe the church in the early 2nd century. The first known use of the phrase "the catholic church" ( Greek : καθολικὴ ἐκκλησία , romanized :  katholikḕ ekklēsía ) occurred in the letter written about 110 AD from Saint Ignatius of Antioch to the Smyrnaeans , which read: "Wheresoever the bishop shall appear, there let the people be, even as where Jesus may be, there

20304-461: Was largely resolved in 1415–17 at the Council of Constance , with the claimants in Rome and Pisa agreeing to resign and the third claimant excommunicated by the cardinals, who held a new election naming Martin V pope. In 1438, the Council of Florence convened, which featured a strong dialogue focussed on understanding the theological differences between the East and West, with the hope of reuniting

20448-464: Was not based solely on data from Hipparchus’ Catalogue. ... These observations are consistent with the view that Ptolemy composed his star catalogue by combining various sources, including Hipparchus’ catalogue, his own observations and, possibly, those of other authors. The Handy Tables ( Greek : Πρόχειροι κανόνες ) are a set of astronomical tables, together with canons for their use. To facilitate astronomical calculations, Ptolemy tabulated all

20592-416: Was the first bishop of Rome. Others say that the institution of the papacy is not dependent on the idea that Peter was bishop of Rome or even on his ever having been in Rome. Many scholars hold that a church structure of plural presbyters/bishops persisted in Rome until the mid-2nd century, when the structure of a single bishop and plural presbyters was adopted, and that later writers retrospectively applied

20736-506: Was well aware that he knew about only a quarter of the globe, and an erroneous extension of China southward suggests his sources did not reach all the way to the Pacific Ocean. It seems likely that the topographical tables in the second part of the work (Books 2–7) are cumulative texts, which were altered as new knowledge became available in the centuries after Ptolemy. This means that information contained in different parts of

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