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Isidore Of Miletus
Isidore of Miletus (; Medieval Greek pronunciation: ; ) was one of the two main Byzantine Greek mathematician, physicist and architects ( Anthemius of Tralles was the other) that Emperor Justinian I commissioned to design the cathedral Hagia Sophia in Constantinople from 532 to 537. He was born . The creation of an important compilation of Archimedes' works has been attributed to him. The spurious Book XV from Euclid's Elements has been partly attributed to Isidore of Miletus. Biography Isidore of Miletus was a renowned scientist and mathematician before Emperor Justinian I hired him. Isidorus taught stereometry and physics at the universities of Alexandria and then of Constantinople, and wrote a commentary on an older treatise on vaulting. Eutocius together with Isidore studied Archimedes' work. Isidore is also renowned for producing the first comprehensive compilation of Archimedes' work, the Archimedes palimpsest survived to the present. Teachings and writings A majo ...
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AT 13763 Roof Figure, Isidor Von Milet At The Kunsthistorisches Museum, Vienna-74-Bearbeitet
AT or at may refer to: Geography Austria * Austria (ISO 2-letter country code) * .at, Internet country code top-level domain United States * Atchison County, Kansas (county code) * The Appalachian Trail (A.T.), a 2,180+ mile long mountainous trail in the Eastern United States Elsewhere * Antigua and Barbuda, World Meteorological Organization country code * Ashmore and Cartier Islands (FIPS 10-4 territory code, and obsolete NATO country code) * At, Bihar, village in Aurangabad district of Bihar, India * Province of Asti, Italy (ISO 3166-2:IT code) * Australia, LOC MARC code Politics * Awami Tahreek a left-wing Pakistani political party Science and technology Computing * @ (or "at sign"), the punctuation symbol now typically used in e-mail addresses and tweets) * at (command), used to schedule tasks or other commands to be performed or run at a certain time * IBM Personal Computer/AT ** AT (form factor) for motherboards and computer cases ** AT connector, a five-pin D ...
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Stereometry
Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids, prisms (and other polyhedrons), cubes, cylinders, cones (and truncated cones). History The Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonists. Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius.Paraphrased and taken in part from the ''1911 Encyclopædia Britannica''. Topics Basic topics in solid geometry and stereometry include: * ...
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Parabola
In mathematics, a parabola is a plane curve which is Reflection symmetry, mirror-symmetrical and is approximately U-shaped. It fits several superficially different Mathematics, mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a Point (geometry), point (the Focus (geometry), focus) and a Line (geometry), line (the Directrix (conic section), directrix). The focus does not lie on the directrix. The parabola is the locus (mathematics), locus of points in that plane that are equidistant from the directrix and the focus. Another description of a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane (geometry), plane Parallel (geometry), parallel to another plane that is tangential to the conical surface. The graph of a function, graph of a quadratic function y=ax^2+bx+ c (with a\neq 0 ) is a parabola with its axis parallel to the -axis. Conversely, every ...
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Compass (drawing Tool)
A compass, also commonly known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, it can also be used as a tool to mark out distances, in particular, on maps. Compasses can be used for mathematics, drafting, navigation and other purposes. Prior to computerization, compasses and other tools for manual drafting were often packaged as a set with interchangeable parts. By the mid-twentieth century, circle templates supplemented the use of compasses. Today those facilities are more often provided by computer-aided design programs, so the physical tools serve mainly a didactic purpose in teaching geometry, technical drawing, etc. Construction and parts Compasses are usually made of metal or plastic, and consist of two "legs" connected by a hinge which can be adjusted to allow changing of the radius of the circle drawn. Typically one leg has a spike at its end for anchoring, and the other leg holds a drawing ...
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Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ...
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Vault (architecture)
In architecture, a vault (French ''voûte'', from Italian ''volta'') is a self-supporting arched form, usually of stone or brick, serving to cover a space with a ceiling or roof. As in building an arch, a temporary support is needed while rings of voussoirs are constructed and the rings placed in position. Until the topmost voussoir, the Keystone (architecture), keystone, is positioned, the vault is not self-supporting. Where timber is easily obtained, this temporary support is provided by centering consisting of a framed truss with a semicircular or Circular segment, segmental head, which supports the voussoirs until the ring of the whole arch is completed. The Mycenaean Greece, Mycenaeans (ca. 18th century BC, 1800–1050s BC, 1050 BC) were known for their Tholos (architecture), tholos tombs, also called beehive tombs, which were underground structures with conical vaults. This type of vault is one of the earliest evidences of curved brick architecture without the use of ston ...
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Eutocius Of Ascalon
Eutocius of Ascalon (; ; 480s – 520s) was a Greek mathematician who wrote commentaries on several Archimedean treatises and on the Apollonian ''Conics''. Life and work Little is known about the life of Eutocius. He was born in Ascalon, then in Palestina Prima and lived during the reign of Justinian. Eutocius probably became the head of the Alexandrian school following Ammonius, and he was succeeded in this position by Olympiodorus, possibly as early as 525. From his testimony, it seems he traveled to other cultural centers of his time to find missing manuscripts. Eutocius wrote commentaries on Apollonius and on Archimedes. The surviving commentaries are: *A Commentary on the first four books of the '' Conics'' of Apollonius. *Commentaries on Archimedes' work: **'' On the Sphere and Cylinder'' I-II. **'' Measurement of the Circle'' (Latin: ''In Archimedis Dimensionem Circuli''). ** ''On the Equilibrium'' ''of Planes'' I-II. *An introduction to Book I of Ptolemy's '' ...
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Architecture
Architecture is the art and technique of designing and building, as distinguished from the skills associated with construction. It is both the process and the product of sketching, conceiving, planning, designing, and construction, constructing buildings or other Structure#Load-bearing, structures. The term comes ; ; . Architectural works, in the material form of buildings, are often perceived as cultural symbols and as work of art, works of art. Historical civilizations are often identified with their surviving architectural achievements. The practice, which began in the Prehistory, prehistoric era, has been used as a way of expressing culture by civilizations on all seven continents. For this reason, architecture is considered to be a form of art. Texts on architecture have been written since ancient times. The earliest surviving text on architectural theory, architectural theories is the 1st century AD treatise by the Roman architect Vitruvius, according to whom a good bui ...
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Alan Cameron (classicist)
Alan Douglas Edward Cameron, (13 March 1938 – 31 July 2017) was a British classicist and academic. He was Charles Anthon Professor Emeritus of the Latin Language and Literature at Columbia University, New York. He was one of the leading scholars of the literature and history of the later Roman world and at the same time a wide-ranging classical philologist whose work encompassed above all the Greek and Latin poetic tradition from Hellenistic to Byzantine times but also aspects of late antique art. Life He was educated at St. Paul's School, London (1951–56). He went on to New College, Oxford, earning a first class in Honour Moderations (1959) and '' Literae Humaniores'' (1961). He was married, from 1962 to 1980, to Dame Averil Cameron, with whom he has a son and a daughter. In 1998 he married Carla Asher, who survives him. Cameron began his academic career as a lecturer at the University of Glasgow (1961). He then became a Lecturer and then a Reader in Latin at Bedford C ...
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Archimedes Palimpsest
The Archimedes Palimpsest is a parchment codex palimpsest, originally a Byzantine Greek copy of a compilation of Archimedes and other authors. It contains two works of Archimedes that were thought to have been lost (the '' Ostomachion'' and the '' Method of Mechanical Theorems'') and the only surviving original Greek edition of his work '' On Floating Bodies''. The first version of the compilation is believed to have been produced by Isidore of Miletus, the architect of the geometrically complex Hagia Sophia cathedral in Constantinople, sometime around AD 530. The copy found in the palimpsest was created from this original, also in Constantinople, during the Macedonian Renaissance (c. AD 950), a time when mathematics in the capital was being revived by the former Greek Orthodox bishop of Thessaloniki Leo the Geometer, a cousin of the Patriarch. Following the sack of Constantinople by Western crusaders in 1204, the manuscript was taken to an isolated Greek monastery in Palest ...
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Eutocius
Eutocius of Ascalon (; ; 480s – 520s) was a Greek mathematician who wrote commentaries on several Archimedean treatises and on the Apollonian ''Conics''. Life and work Little is known about the life of Eutocius. He was born in Ascalon, then in Palestina Prima and lived during the reign of Justinian. Eutocius probably became the head of the Alexandrian school following Ammonius, and he was succeeded in this position by Olympiodorus, possibly as early as 525. From his testimony, it seems he traveled to other cultural centers of his time to find missing manuscripts. Eutocius wrote commentaries on Apollonius and on Archimedes. The surviving commentaries are: *A Commentary on the first four books of the '' Conics'' of Apollonius. *Commentaries on Archimedes' work: **''On the Sphere and Cylinder'' I-II. **''Measurement of the Circle'' (Latin: ''In Archimedis Dimensionem Circuli''). ** ''On the Equilibrium'' ''of Planes'' I-II. *An introduction to Book I of Ptolemy's ''Alma ...
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Vaulting (architecture)
In architecture, a vault (French ''voûte'', from Italian ''volta'') is a self-supporting arched form, usually of stone or brick, serving to cover a space with a ceiling or roof. As in building an arch, a temporary support is needed while rings of voussoirs are constructed and the rings placed in position. Until the topmost voussoir, the keystone, is positioned, the vault is not self-supporting. Where timber is easily obtained, this temporary support is provided by centering consisting of a framed truss with a semicircular or segmental head, which supports the voussoirs until the ring of the whole arch is completed. The Mycenaeans (ca. 1800– 1050 BC) were known for their tholos tombs, also called beehive tombs, which were underground structures with conical vaults. This type of vault is one of the earliest evidences of curved brick architecture without the use of stone arches, and its construction represented an innovative technique for covering circular spaces. Vault ty ...
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