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De sphaera mundi (Latin title meaning On the Sphere of the World, sometimes rendered The Sphere of the Cosmos; the Latin title is also given as Tractatus de sphaera, Textus de sphaera, or simply De sphaera) is a medieval introduction to the basic elements of astronomy written by Johannes de Sacrobosco (John of Holywood) c. 1230. Based heavily on Ptolemy's Almagest , and drawing additional ideas from Islamic astronomy, it was one of the most influential works of pre-Copernican astronomy in Europe.
Sacrobosco's De sphaera mundi was the most successful of several competing thirteenth-century textbooks on this topic. It was used in universities for hundreds of years and the manuscript copied many times before the invention of the printing press; hundreds of manuscript copies have survived. The first printed edition appeared in 1472 in Ferrara, and at least 84 editions were printed in the next two hundred years. The work was frequently supplemented with commentaries on the original text. The number of copies and commentaries reflects its importance as a university text. [1]
The 'sphere of the world' is not the earth but the heavens, and Sacrobosco quotes Theodosius saying it is a solid body. It is divided into nine parts: the "first moved" ( primum mobile ), the sphere of the fixed stars (the firmament), and the seven planets, Saturn, Jupiter, Mars, the sun, Venus, Mercury and the moon. There is a 'right' sphere and an oblique sphere: the right sphere is only observed by those at the equator (if there are such people), everyone else sees the oblique sphere. There are two movements: one of the heavens from east to west on its axis through the Arctic and Antarctic poles, the other of the inferior spheres at 23° in the opposite direction on their own axes.[ citation needed ]
The world, or universe, is divided into two parts: the elementary and the ethereal. The elementary consists of four parts: the earth, about which is water, then air, then fire, reaching up to the moon. Above this is the ethereal which is immutable and called the 'fifth essence' by the philosophers. All are mobile except heavy earth which is the center of the world.[ citation needed ]
Sacrobosco spoke of the universe as the machina mundi, the machine of the world, suggesting that the reported eclipse of the Sun at the crucifixion of Jesus was a disturbance of the order of that machine. This concept is similar to the clockwork universe analogy that became very popular centuries later, during the Enlightenment. [2] : 465
Though principally about the universe, De sphaera 1230 A.D. contains a clear description of the Earth as a sphere which agrees with widespread opinion in Europe during the higher Middle Ages, in contrast to statements of some 19th- and 20th-century historians that medieval scholars thought the Earth was flat. [3] : 19, 26–27 As evidence for the Earth being a sphere, in Chapter One he cites the observation that stars rise and set sooner for those in the east ("Orientals"), and lunar eclipses happen earlier; that stars near the North Pole are visible to those further north and those in the south can see different ones; that at sea one can see further by climbing up the mast; and that water seeks its natural shape which is round, as a drop.
The Almagest is a 2nd-century mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy in Koine Greek. One of the most influential scientific texts in history, it canonized a geocentric model of the Universe that was accepted for more than 1,200 years from its origin in Hellenistic Alexandria, in the medieval Byzantine and Islamic worlds, and in Western Europe through the Middle Ages and early Renaissance until Copernicus. It is also a key source of information about ancient Greek astronomy.
The history of geodesy (/dʒiːˈɒdɪsi/) began during antiquity and ultimately blossomed during the Age of Enlightenment.
Macrobius Ambrosius Theodosius, usually referred to as Macrobius, was a Roman provincial who lived during the early fifth century, during late antiquity, the period of time corresponding to the Later Roman Empire, and when Latin was as widespread as Greek among the elite. He is primarily known for his writings, which include the widely copied and read Commentarii in Somnium Scipionis about Somnium Scipionis, which was one of the most important sources for Neoplatonism in the Latin West during the Middle Ages; the Saturnalia, a compendium of ancient Roman religious and antiquarian lore; and De differentiis et societatibus graeci latinique verbi, which is now lost. He is the basis for the protagonist Manlius in Iain Pears' book The Dream of Scipio.
Tractatus is Latin for "treatise". It may refer to:
In astronomy, the fixed stars are the luminary points, mainly stars, that appear not to move relative to one another against the darkness of the night sky in the background. This is in contrast to those lights visible to naked eye, namely planets and comets, that appear to move slowly among those "fixed" stars. The fixed stars includes all the stars visible to the naked eye other than the Sun, as well as the faint band of the Milky Way. Due to their star-like appearance when viewed with the naked eye, the few visible individual nebulae and other deep-sky objects also are counted among the fixed stars. Approximately 6,000 stars are visible to the naked eye under optimal conditions.
Johannes de Sacrobosco, also written Ioannes de Sacro Bosco, later called John of Holywood or John of Holybush, was a scholar, Catholic monk, and astronomer who taught at the University of Paris.
Māshāʾallāh ibn Atharī, known as Mashallah, was an 8th century Persian Jewish astrologer, astronomer, and mathematician. Originally from Khorasan, he lived in Basra during the reigns of the Abbasid caliphs al-Manṣūr and al-Ma’mūn, and was among those who introduced astrology and astronomy to Baghdad. The bibliographer ibn al-Nadim described Mashallah "as virtuous and in his time a leader in the science of jurisprudence, i.e. the science of judgments of the stars". Mashallah served as a court astrologer for the Abbasid caliphate and wrote works on astrology in Arabic. Some Latin translations survive.
Lynn Thorndike was an American historian of medieval science and alchemy. He was the son of a clergyman, Edward R. Thorndike, and the younger brother of Ashley Horace Thorndike, an American educator and expert on William Shakespeare, and Edward Lee Thorndike, known for being the father of modern educational psychology.
Giuseppe Biancani, SJ was an Italian Jesuit astronomer, mathematician, and selenographer, after whom the crater Blancanus on the Moon is named. Biancani was one of the most able and respected Catholic astronomers of his day, and his main work, Sphaera Mundi, was republished at least four times in the seventeenth century, 1620, 1630, 1635, and 1653.
In the history of science, the clockwork universe compares the universe to a mechanical clock. It continues ticking along, as a perfect machine, with its gears governed by the laws of physics, making every aspect of the machine predictable.
Solomon ben Abraham Abigdor, born in Provence in 1384, was a Hebrew translator, physician, and mystic.
Petrus de Dacia, also called Philomena and Peder Nattergal, was a Danish scholar who lived in the 13th century. He worked mainly in Paris and Italy, writing in Latin. He published a calendar of new moon dates for the years 1292-1367. In 1292, he published a book on mathematics that contained a new method for the calculation of cubic roots. He also described a mechanical instrument to predict solar and lunar eclipses as seen from Paris.
Erasmus Oswald Schreckenfuchs (1511–1579) was an Austrian humanist, astronomer and Hebraist.
John of Głogów was a notable Polish polyhistor at the turn of the Middle Ages and Renaissance—a philosopher, geographer and astronomer at the University of Krakow.
Francesco Capuano Di Manfredonia was an Italian astronomer, professor, and member of the clergy. Up until the 1880s there wasn't a lot known about Capuano, and the little bit that was known was derived directly from his printed works.
Jacques du Chevreul was a French mathematician, astronomer, and philosopher.
Pedro Sánchez Ciruelo was a Spanish philosopher, theologian, mathematician, astrologer, astronomer and writer on topics of natural philosophy.
André do Avelar also known as "Andre dauellar" was a writer and professor who published astronomical works at the University of Coimbra. His works sought to explain astronomy, astrology, and the calendar year to the people of Lisbon. Despite his esteem he would later be sentenced to life in prison by the Inquisition as he was accused of being a Judaizer.
Johannes Paulus Lauratius de Fundis was a medieval astronomer and professor of astrology in Bologna. He is known for several manuscript works including Tractatus reprobationis eorum que scripsit Nicolaus Orrem (1451) and Nova theorica planetarum.