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Anaritius
Abū’l-'Abbās al-Faḍl ibn Ḥātim al-Nairīzī (; ; , ) was a Persian mathematician and astronomer from Nayriz, now in Fars province, Iran. Life Little is known of al-Nairīzī, though his nisba refers to the town of Neyriz. He mentioned al-Mu'tadid, the Abbasid caliph, in his works, and so scholars have assumed that al-Nairīzī flourished in Baghdad during this period. Al-Nairīzī wrote a book for al-Mu'tadid on atmospheric phenomena. He died in . Mathematics Al-Nayrizi wrote a commentary to the translation in Arabic by Al-Ḥajjāj ibn Yūsuf ibn Maṭar of Euclid's ''Elements''. Both the translation and the commentary have survived, as well as a 12th-century Latin translation by Gerard of Cremona. Al-Nayrizi's commentary contains unique extracts of two other commentaries on the ''Elements'', produced by Hero of Alexandria and Simplicius of Cilicia. Al-Nairīzī used the , the equivalent to the tangent, as a genuine trigonometric line, as did the Persian astronom ...
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Simplicius Of Cilicia
Simplicius of Cilicia (; ; – c. 540) was a disciple of Ammonius Hermiae and Damascius, and was one of the last of the Neoplatonists. He was among the pagan philosophers persecuted by Justinian in the early 6th century, and was forced for a time to seek refuge in the Persian court, before being allowed back into the empire. He wrote extensively on the works of Aristotle. Although his writings are all commentaries on Aristotle and other authors, rather than original compositions, his intelligent and prodigious learning makes him the last great philosopher of pagan antiquity. His works have preserved much information about earlier philosophers which would have otherwise been lost. Life Little is known about Simplicius' life. Based on his education, it's likely he was born some time around 480. His commentary on Aristotle's On the Heavens can be definitively dated to 538, which is the latest known definitive evidence for his life, making it likely he died some time around 5 ...
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Islamic Golden Age
The Islamic Golden Age was a period of scientific, economic, and cultural flourishing in the history of Islam, traditionally dated from the 8th century to the 13th century. This period is traditionally understood to have begun during the reign of the Abbasid Caliphate, Abbasid caliph Harun al-Rashid (786 to 809) with the inauguration of the House of Wisdom, which saw Ulama, scholars from all over the Muslim world flock to Baghdad, the world's largest city at the time, to translate the known world's classical knowledge into Arabic and Persian language, Persian. The period is traditionally said to have ended with the collapse of the Abbasid caliphate due to Mongol invasions and conquests, Mongol invasions and the Siege of Baghdad (1258), Siege of Baghdad in 1258. There are a few alternative timelines. Some scholars extend the end date of the golden age to around 1350, including the Timurid Renaissance within it, while others place the end of the Islamic Golden Age as late as the en ...
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Hero Of Alexandria
Hero of Alexandria (; , , also known as Heron of Alexandria ; probably 1st or 2nd century AD) was a Greek mathematician and engineer who was active in Alexandria in Egypt during the Roman era. He has been described as the greatest experimentalist of antiquity and a representative of the Hellenistic scientific tradition. Hero published a well-recognized description of a steam-powered device called an '' aeolipile'', also known as "Hero's engine". Among his most famous inventions was a windwheel, constituting the earliest instance of wind harnessing on land. In his work ''Mechanics'', he described pantographs. Some of his ideas were derived from the works of Ctesibius. In mathematics, he wrote a commentary on Euclid's ''Elements'' and a work on applied geometry known as the ''Metrica''. He is mostly remembered for Heron's formula; a way to calculate the area of a triangle using only the lengths of its sides. Much of Hero's original writings and designs have been lost, bu ...
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Al-Fihrist
The () (''The Book Catalogue'') is a compendium of the knowledge and literature of tenth-century Islam compiled by Ibn al-Nadim (d. 998). It references approx. 10,000 books and 2,000 authors.''The Biographical Dictionary of the Society for the Diffusion of Useful Knowledge'', Volume 2, Numero 2, p. 782 A crucial source of medieval Arabic-Islamic literature, it preserves the names of authors, books and accounts otherwise entirely lost. is evidence of Ibn al-Nadim's thirst for knowledge among the sophisticated milieu of Baghdad's intellectual elite. As a record of civilisation transmitted through Muslim culture to the Western world, it provides unique classical material and links to other civilisations. Content The ''Fihrist'' indexes authors, together with biographical details and literary criticism. Ibn al-Nadim's interest ranges from religions, customs, sciences, with obscure facets of medieval Islamic history, works on superstition, magic, drama, poetry, satire and music fro ...
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Ibn Al-Nadim
Abū al-Faraj Muḥammad ibn Isḥāq an-Nadīm (), also Ibn Abī Yaʿqūb Isḥāq ibn Muḥammad ibn Isḥāq al-Warrāq, and commonly known by the '' nasab'' (patronymic) Ibn an-Nadīm (; died 17 September 995 or 998), was an important Muslim bibliographer and biographer of Baghdad who compiled the encyclopedia '' Kitāb al-Fihrist'' (''The Book Catalogue''). Biography Much known of an-Nadim is deduced from his epithets. 'an-Nadim' (), 'the Court Companion' and 'al-Warrāq () 'the copyist of manuscripts'. Probably born in Baghdad ca. 320/932 he died there on Wednesday, 20th of Shaʿban A.H. 385. He was a Persian or perhaps an Arab. Little is known about Ibn an-Nadīm's life. Some historians say that he was of Persian descent , but this is not certain. However, the choice of the rarely used Persian word pehrest (fehrest/fehres/fahrasat) meaning "The List" as the title for a handbook on Arabic literature is noteworthy in this context. From age six, he may have attended a ''mad ...
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Spherical Astrolabe
An armillary sphere (variations are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting of a spherical framework of rings, centered on Earth or the Sun, that represent lines of celestial longitude and latitude and other astronomically important features, such as the ecliptic. As such, it differs from a celestial globe, which is a smooth sphere whose principal purpose is to map the constellations. It was invented separately, in ancient China possibly as early as the 4th century BC and ancient Greece during the 3rd century BC, with later uses in the Islamic world and Medieval Europe. With the Earth as center, an armillary sphere is known as '' Ptolemaic''. With the Sun as center, it is known as '' Copernican''. The flag of Portugal features an armillary sphere. The armillary sphere is also featured in Portuguese heraldry, associated with the Portuguese discoveries during the Age of Exploration. Manuel I of Portug ...
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Kibla
KIBLA, or Kibla, is a multimedia and multidisciplinary art production facility in Slovenia that organizes a year-round cultural program. It is a member of the Slavic Culture Forum and is involved in showcasing, distributing, and promoting the activities of 16 multimedia centers across Slovenia. Programmes * Cyber provides free internet access as well as free internet-related courses via website architecture, programs, and hardware. * The Student Resource Centre provides information on national and international scholarship foundations, publications, and media inquiries using an online database. * KiBela is a multipurpose room for a cultural program as well as a space for displaying multimedia art. * Hidden Notes (Skrite note) is a musical series that features concerts, projections, talks, and workshops, including electroacoustic music. * IT@K – IT at Kibla is an online and multimedia lab for the development of websites, CD-ROMs, video, audio, and real-time internet transmission ...
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Parallel (geometry)
In geometry, parallel lines are coplanar infinite straight line (geometry), lines that do not intersecting lines, intersect at any point. Parallel planes are plane (geometry), planes in the same three-dimensional space that never meet. ''Parallel curves'' are curves that do not tangent, touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called ''skew lines''. Line segments and Euclidean vectors are parallel if they have the same direction (geometry), direction or opposite direction (geometry), opposite direction (not necessarily the same length). Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometry, affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have ...
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Parallel Postulate
In geometry, the parallel postulate is the fifth postulate in Euclid's ''Elements'' and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a line segment intersects two straight lines forming two interior angles on the same side that are less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. This postulate does not specifically talk about parallel lines; it is only a postulate related to parallelism. Euclid gave the definition of parallel lines in Book I, Definition 23 just before the five postulates. ''Euclidean geometry'' is the study of geometry that satisfies all of Euclid's axioms, including the parallel postulate. The postulate was long considered to be obvious or inevitable, but proofs were elusive. Eventually, it was discovered that inverting the postulate gave valid, albeit different geometries. A geometry where the parallel postulate do ...
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Mathematical Proof
A mathematical proof is a deductive reasoning, deductive Argument-deduction-proof distinctions, argument for a Proposition, mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning that establish logical certainty, to be distinguished from empirical evidence, empirical arguments or non-exhaustive inductive reasoning that establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in ''all'' possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for ...
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Pythagorean Tiling
A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides. Many proofs of the Pythagorean theorem are based on it, explaining its name. It is commonly used as a pattern for floor tiles. When used for this, it is also known as a hopscotch pattern or pinwheel pattern, but it should not be confused with the mathematical pinwheel tiling, an unrelated pattern. This tiling has four-way rotational symmetry around each of its squares. When the ratio of the side lengths of the two squares is an irrational number such as the golden ratio, its cross-sections form aperiodic sequences with a similar recursive structure to the Fibonacci word. Generalizations of this tiling to three dimensions have also been studied. Topology and symmetry The Pythagorean tiling is the unique tiling by squares of two different sizes that is both ''unilateral'' (no tw ...
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Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. The theorem can be written as an equation relating the lengths of the sides , and the hypotenuse , sometimes called the Pythagorean equation: :a^2 + b^2 = c^2 . The theorem is named for the Ancient Greece, Greek philosopher Pythagoras, born around 570 BC. The theorem has been Mathematical proof, proved numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both Geometry, geometric proofs and Algebra, algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies th ...
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