Mishnat Ha-Middot
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Mishnat Ha-Middot
The Mishnat ha-Middot ( he, מִשְׁנַת הַמִּדּוֹת, 'Treatise of Measures') is the earliest known Hebrew treatise on geometry, composed of 49 ''mishnayot'' in six chapters. Scholars have dated the work to either the Mishnaic period or the early Islamic era. History Date of composition Moritz Steinschneider dated the ''Mishnat ha-Middot'' to between 800 and 1200 CE. Sarfatti and Langermann have advanced Steinschneider's claim of Arabic influence on the work's terminology, and date the text to the early ninth century. On the other hand, Hermann Schapira argued that the treatise dates from an earlier era, most likely the Mishnaic period, as its mathematical terminology differs from that of the Hebrew mathematicians of the Arab period. Solomon Gandz conjectured that the text was compiled no later than (possibly by Rabbi Nehemiah) and intended to be a part of the Mishnah, but was excluded from its final canonical edition because the work was regarded as too secular ...
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Literal Translation
Literal translation, direct translation or word-for-word translation, is a translation of a text done by translating each word separately, without looking at how the words are used together in a phrase or sentence. In Translation studies, translation theory, another term for "literal translation" is ''metaphrase'' (as opposed to ''paraphrase'' for an Analogy, analogous translation). Literal translation leads to mistranslating of idioms, which is a serious problem for machine translation. The term as used in translation studies Usage The term "literal translation" often appeared in the titles of 19th-century English language, English translations of classical, Bible and other texts. Cribs Word-for-word translations ("cribs," "ponies" or "trots") are sometimes prepared for a writer who is translating a work written in a language they do not know. For example, Robert Pinsky is reported to have used a literal translation in preparing his translation of Dante's ''Inferno (Dante), I ...
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Greek Mathematics
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathematicians lived in cities spread over the entire Eastern Mediterranean from Italy to North Africa but were united by Greek culture and the Greek language. The word "mathematics" itself derives from the grc, , máthēma , meaning "subject of instruction". The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is an important difference between Greek mathematics and those of preceding civilizations. Origins of Greek mathematics The origin of Greek mathematics is not well documented. The earliest advanced civilizations in Greece and in Europe were the Minoan and later Mycenaean civilizations, both of which flourished during the 2nd millennium BCE. While these civilizations possessed writing and ...
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Triangle
A triangle is a polygon with three Edge (geometry), edges and three Vertex (geometry), vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non-Collinearity, collinear, determine a unique triangle and simultaneously, a unique Plane (mathematics), plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted. Types of triangle The terminology for categorizing triangles is more than two thousand years old, having been defined on the very first page of ...
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Quadrilateral
In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words ''quadri'', a variant of four, and ''latus'', meaning "side". It is also called a tetragon, derived from greek "tetra" meaning "four" and "gon" meaning "corner" or "angle", in analogy to other polygons (e.g. pentagon). Since "gon" means "angle", it is analogously called a quadrangle, or 4-angle. A quadrilateral with vertices A, B, C and D is sometimes denoted as \square ABCD. Quadrilaterals are either simple (not self-intersecting), or complex (self-intersecting, or crossed). Simple quadrilaterals are either convex or concave. The interior angles of a simple (and planar) quadrilateral ''ABCD'' add up to 360 degrees of arc, that is :\angle A+\angle B+\angle C+\angle D=360^. This is a special case of the ''n''-gon interior angle sum formula: ''S'' = (''n'' − 2) × 180°. All non-self-crossing quadrilaterals tile the plane, b ...
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Plane Figure
A shape or figure is a graphical representation of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type. A plane shape or plane figure is constrained to lie on a ''plane'', in contrast to ''solid'' 3D shapes. A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved ''surface'' (a non-Euclidean two-dimensional space). Classification of simple shapes Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles, obtuse, acute, scalene, etc. while quadrilaterals can be rectangles, rhombi, trapezoids, squares, etc. Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. Among the most c ...
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Jewish Museum In Prague
The Jewish Museum in Prague (Czech: Židovské muzeum v Praze) is a museum of Jewish heritage in the Czech Republic and one of the most visited museums in Prague. Its collection of Judaica is one of the largest in the world, about 40,000 objects, 100,000 books, and a copious archive of Czech Jewish community histories. History Foundation and development (1906–1939) The Jewish Museum in Prague was founded in 1906 by historian Dr. Hugo Lieben (1881–1942) and Dr. Augustin Stein (1854–1937), who later became the head of the Prague Jewish Community. Its purpose was to document history and customs of the Jewish population of the Czech lands, as well as to preserve artifacts from Prague synagogues demolished in an urban renewal campaign at the beginning of the 20th century. During Nazi occupation (1939–1945) When the Nazis instituted the Protectorate of Bohemia and Moravia in part of the former Czechoslovakia, the museum became the Central Bureau for Jewish Emigration. ...
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Philology
Philology () is the study of language in oral and writing, written historical sources; it is the intersection of textual criticism, literary criticism, history, and linguistics (with especially strong ties to etymology). Philology is also defined as the study of literary texts as well as oral and written records, the establishment of their authenticity and their original form, and the determination of their meaning. A person who pursues this kind of study is known as a philologist. In older usage, especially British, philology is more general, covering comparative linguistics, comparative and historical linguistics. Classical philology studies classical languages. Classical philology principally originated from the Library of Pergamum and the Library of Alexandria around the fourth century BC, continued by Greeks and Romans throughout the Roman Empire, Roman/Byzantine Empire. It was eventually resumed by European scholars of the Renaissance humanism, Renaissance, where it was s ...
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Bodleian Library
The Bodleian Library () is the main research library of the University of Oxford, and is one of the oldest libraries in Europe. It derives its name from its founder, Sir Thomas Bodley. With over 13 million printed items, it is the second-largest library in Britain after the British Library. Under the Legal Deposit Libraries Act 2003, it is one of six legal deposit libraries for works published in the United Kingdom, and under Irish law it is entitled to request a copy of each book published in the Republic of Ireland. Known to Oxford scholars as "Bodley" or "the Bod", it operates principally as a reference library and, in general, documents may not be removed from the reading rooms. In 2000, a number of libraries within the University of Oxford were brought together for administrative purposes under the aegis of what was initially known as Oxford University Library Services (OULS), and since 2010 as the Bodleian Libraries, of which the Bodleian Library is the largest comp ...
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Genizah
A genizah (; , also ''geniza''; plural: ''genizot'' 'h''or ''genizahs'') is a storage area in a Jewish synagogue or cemetery designated for the temporary storage of worn-out Hebrew-language books and papers on religious topics prior to proper cemetery burial. Etymology The word ''genizah'' comes from the Hebrew triconsonantal root ''g-n-z'', which means "to hide" or "to put away", from Old Median ''*ganza-'' (“depository; treasure”).Katzover, Yisrael. "The Genizah on the Nile". ''Hamodia'' Features, April 21, 2016, p. 14. The derived noun meant 'hiding' and later a place where one put things, and is perhaps best translated as "archive" or "repository". Description Genizot are temporary repositories designated for the storage of worn-out Hebrew language books and papers on religious topics prior to proper cemetery burial, it being forbidden to throw away writings containing the name of God. As even personal letters and legal contracts may open with an invocation of God, the ...
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Otto E
Otto is a masculine German given name and a surname. It originates as an Old High German short form (variants ''Audo'', ''Odo'', ''Udo'') of Germanic names beginning in ''aud-'', an element meaning "wealth, prosperity". The name is recorded from the 7th century ( Odo, son of Uro, courtier of Sigebert III). It was the name of three 10th-century German kings, the first of whom was Otto I the Great, the first Holy Roman Emperor, founder of the Ottonian dynasty. The Gothic form of the prefix was ''auda-'' (as in e.g. '' Audaþius''), the Anglo-Saxon form was ''ead-'' (as in e.g. ''Eadmund''), and the Old Norse form was '' auð-''. The given name Otis arose from an English surname, which was in turn derived from ''Ode'', a variant form of ''Odo, Otto''. Due to Otto von Bismarck, the given name ''Otto'' was strongly associated with the German Empire in the later 19th century. It was comparatively frequently given in the United States (presumably in German American families) during ...
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Leopold Zunz
Leopold Zunz ( he, יום טוב צונץ—''Yom Tov Tzuntz'', yi, ליפמן צונץ—''Lipmann Zunz''; 10 August 1794 – 17 March 1886) was the founder of academic Judaic Studies (''Wissenschaft des Judentums''), the critical investigation of Jewish literature, hymnology and ritual. Nahum Glatzer, Pelger Grego"Zunz, Leopold" ''Encyclopaedia Judaica'' (2nd ed., 2007) Zunz's historical investigations and contemporary writings had an important influence on contemporary Judaism. Biography Leopold Zunz was born at Detmold, the son of Talmud scholar Immanuel Menachem Zunz (1759-1802) and Hendel Behrens (1773-1809), the daughter of Dov Beer, an assistant cantor of the Detmold community. The year following his birth his family moved to Hamburg, where, as a young boy, he began learning Hebrew grammar, the Pentateuch, and the Talmud. His father, who was his first teacher, died in July 1802, when Zunz was not quite eight years old.Kaufmann, David (1900).Zunz, Leopold" In: ''Allgemein ...
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Colophon (publishing)
In publishing, a colophon () is a brief statement containing information about the publication of a book such as an "imprint" (the place of publication, the publisher, and the date of publication). A colophon may include the device (logo) of a printer or publisher. Colophons are traditionally printed at the ends of books (see History below for the origin of the word), but sometimes the same information appears elsewhere (when it may still be referred to as colophon) and many modern (post-1800) books bear this information on the title page or on the verso of the title-leaf, which is sometimes called a "biblio-page" or (when bearing copyright data) the " copyright-page". History The term ''colophon'' derives from the Late Latin ''colophōn'', from the Greek κολοφών (meaning "summit" or "finishing touch"). The term colophon was used in 1729 as the bibliographic explication at the end of the book by the English printer Samuel Palmer in his ''The General History of Printing, f ...
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