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Ptolemaeus
Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importance to later Byzantine, Islamic, and Western European science. The first is the astronomical treatise now known as the '' Almagest'', although it was originally entitled the ''Mathēmatikē Syntaxis'' or ''Mathematical Treatise'', and later known as ''The Greatest Treatise''. The second 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'' (lit. "On the Effects") but more commonly known as the '' Tetrábiblos'', from the Koine Greek meaning "Four Books", or by its Latin equivalent ''Quad ...
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Ptolemaic Universe
In astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ..., the geocentric model (also known as geocentrism, often exemplified specifically by the Ptolemaic system) is a superseded scientific theories, superseded description of the Universe with Earth at the center. Under most geocentric models, the Sun, Moon, stars, and classical planet, planets all orbit Earth. The geocentric model was the predominant description of the cosmos in many European Ancient history, ancient civilizations, such as those of Aristotle in Classical Greece and Ptolemy in Roman Egypt. Two observations supported the idea that Earth was the center of the Universe: * First, from anywhere on Earth, the Sun appears to revolve around Earth diurnal motion, once per day. While the Moon and the planets have the ...
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Treatise
A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject and its conclusions."Treatise." Merriam-Webster Online Dictionary. Accessed September 12, 2020. A monograph is a treatise on a specialized topic. Etymology The word 'treatise' first appeared in the fourteenth century as the Medieval English word ''tretis'', which evolved from the Medieval Latin ''tractatus'' and the Latin ''tractare'', meaning to treat or to handle. Historically significant treatises Table The works presented here have been identified as influential by scholars on the development of human civilization. Discussion of select examples Euclid's ''Elements'' Euclid's ''Elements'' has appeared in more editions than any other books except the ''Bible'' and is one of the most important mathematical treatises ever. It has been translated to numer ...
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Ptolemy's Theorem
In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus). Ptolemy used the theorem as an aid to creating his table of chords, a trigonometric table that he applied to astronomy. If the vertices of the cyclic quadrilateral are ''A'', ''B'', ''C'', and ''D'' in order, then the theorem states that: : , \overline, \cdot , \overline, =, \overline, \cdot , \overline, +, \overline, \cdot , \overline, where the vertical lines denote the lengths of the line segments between the named vertices. This relation may be verbally expressed as follows: :''If a quadrilateral is inscribable in a circle then the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the pairs of opposite sides.'' Moreover, the converse of Ptolemy's theorem i ...
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Egypt (Roman Province)
, conventional_long_name = Roman Egypt , common_name = Egypt , subdivision = Roman province, Province , nation = the Roman Empire , era = Late antiquity , capital = Alexandria , title_leader = Praefectus Augustalis , image_map = Roman Empire - Aegyptus (125 AD).svg , image_map_caption = Province of Aegyptus in AD 125 , year_start = 30 BC , event_start = Conquest of Ptolemaic Kingdom , event1 = Formation of the Diocese of Egypt, Diocese , date_event1 = 390 , year_end = 641 , event_end = Muslim conquest of Egypt, Muslim conquest , life_span = 30 BC – 641 AD , stat_year1 = 1st century AD , stat_pop1 = . , today = Egypt , p1 = Ptolemaic Kingdom , flag_p1 = Ptolemaic-Empire 200bc.jpg , s1 = Sasanian Egypt , flag_s1 = Derafsh Kaviani flag of the late Sassanid Empire.svg , s2 = Rashidun Caliphate , flag_s2 = Mohammad adil-Rashidun-empire-at-its-peak-close.PNG , demon ...
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Abu Ma'shar Al-Balkhi
Abu Ma'shar al-Balkhi, Latinized as Albumasar (also ''Albusar'', ''Albuxar''; full name ''Abū Maʿshar Jaʿfar ibn Muḥammad ibn ʿUmar al-Balkhī'' ; , AH 171–272), was an early Persian Muslim astrologer, thought to be the greatest astrologer of the Abbasid court in Baghdad. While he was not a major innovator, his practical manuals for training astrologers profoundly influenced Muslim intellectual history and, through translations, that of western Europe and Byzantium. Life Abu Ma'shar was a native of Balkh in Khurasan, one of the main bases of support of the Abbasid revolt in the early 8th century. Its population, as was generally the case in the frontier areas of the Arab conquest of Persia, remained culturally dedicated to its Sassanian and Hellenistic heritage. He probably came to Baghdad in the early years of the caliphate of al-Maʾmūn (r. 813–833). According to An-Nadim's ''Al-Fihrist'' (10th century), he lived on the West Side of Baghdad, near ''Bab Khurasa ...
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Oxford University Press
Oxford University Press (OUP) is the university press of the University of Oxford. It is the largest university press in the world, and its printing history dates back to the 1480s. Having been officially granted the legal right to print books by decree in 1586, it is the second oldest university press after Cambridge University Press. It is a department of the University of Oxford and is governed by a group of 15 academics known as the Delegates of the Press, who are appointed by the vice-chancellor of the University of Oxford. The Delegates of the Press are led by the Secretary to the Delegates, who serves as OUP's chief executive and as its major representative on other university bodies. Oxford University Press has had a similar governance structure since the 17th century. The press is located on Walton Street, Oxford, opposite Somerville College, in the inner suburb of Jericho. For the last 500 years, OUP has primarily focused on the publication of pedagogical texts and ...
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Grove Music Online
''The New Grove Dictionary of Music and Musicians'' is an encyclopedic dictionary of music and musicians. Along with the German-language ''Die Musik in Geschichte und Gegenwart'', it is one of the largest reference works on the history and theory of music. Earlier editions were published under the titles ''A Dictionary of Music and Musicians'', and ''Grove's Dictionary of Music and Musicians''; the work has gone through several editions since the 19th century and is widely used. In recent years it has been made available as an electronic resource called ''Grove Music Online'', which is now an important part of ''Oxford Music Online''. ''A Dictionary of Music and Musicians'' ''A Dictionary of Music and Musicians'' was first published in London by Macmillan and Co. in four volumes (1879, 1880, 1883, 1889) edited by George Grove with an Appendix edited by J. A. Fuller Maitland in the fourth volume. An Index edited by Mrs. E. Wodehouse was issued as a separate volume in 1890. In ...
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Music Theorist
Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built." Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, i ...
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Geographer
A geographer is a physical scientist, social scientist or humanist whose area of study is geography, the study of Earth's natural environment and human society, including how society and nature interacts. The Greek prefix "geo" means "earth" and the Greek suffix, "graphy," meaning "description," so a geographer is someone who studies the earth. The word "geography" is a Middle French word that is believed to have been first used in 1540. Although geographers are historically known as people who make maps, map making is actually the field of study of cartography, a subset of geography. Geographers do not study only the details of the natural environment or human society, but they also study the reciprocal relationship between these two. For example, they study how the natural environment contributes to human society and how human society affects the natural environment. In particular, physical geographers study the natural environment while human geographers study human society ...
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Astrologer
Astrology is a range of divinatory practices, recognized as pseudoscientific since the 18th century, that claim to discern information about human affairs and terrestrial events by studying the apparent positions of celestial objects. Different cultures have employed forms of astrology since at least the 2nd millennium BCE, these practices having originated in calendrical systems used to predict seasonal shifts and to interpret celestial cycles as signs of divine communications. Most, if not all, cultures have attached importance to what they observed in the sky, and some—such as the Hindus, Chinese, and the Maya—developed elaborate systems for predicting terrestrial events from celestial observations. Western astrology, one of the oldest astrological systems still in use, can trace its roots to 19th–17th century BCE Mesopotamia, from where it spread to Ancient Greece, Rome, the Islamic world, and eventually Central and Western Europe. Contemporary Western astrology ...
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Astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, natural satellite, moons, comets and galaxy, galaxies – in either observational astronomy, observational (by analyzing the data) or theoretical astronomy. Examples of topics or fields astronomers study include planetary science, Sun, solar astronomy, the Star formation, origin or stellar evolution, evolution of stars, or the galaxy formation and evolution, formation of galaxies. A related but distinct subject is physical cosmology, which studies the Universe as a whole. Types Astronomers usually fall under either of two main types: observational astronomy, observational and theoretical astronomy, theoretical. Observational astronomers make direct observations of Astronomical object, celestial objects and analyze the data. In contrast, theoretical astronomers create and investigate C ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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