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Counter-clockwise
Two-dimensional rotation can occur in two possible directions or senses of rotation. Clockwise motion (abbreviated CW) proceeds in the same direction as a clock's hands relative to the observer: from the top to the right, then down and then to the left, and back up to the top. The opposite sense of rotation or Turn_(geometry), revolution is (in Commonwealth English) anticlockwise (ACW) or (in North American English) counterclockwise (CCW). Three-dimensional rotation can have similarly defined senses when considering the corresponding angular velocity vector. Terminology Before clocks were commonplace, the terms "sunwise" and "deasil", "deiseil" and even "deocil" from the Scottish Gaelic language and from the same root as the Latin "dexter" ("right") were used for clockwise. "Widdershins" or "withershins" (from Middle Low German "weddersinnes", "opposite course") was used for counterclockwise. The terms clockwise and counterclockwise can only be applied to a rotational motion o ...
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Widdershins
Widdershins (sometimes withershins, widershins or widderschynnes) is a term meaning to go counter-clockwise, anti-clockwise, or lefthandwise, or to walk around an object by always keeping it on the left. Literally, it means to take a course opposite the apparent motion of the sun viewed from the Northern Hemisphere (the face of this imaginary clock is the ground the viewer stands upon). The earliest recorded use of the word, as cited by the ''Oxford English Dictionary'', is in a 1513 translation of the ''Aeneid'', where it is found in the phrase "Abaisit I wolx, and widdersyns start my hair." In this sense, "widdershins start my hair" means "my hair stood on end". The use of the word also means "in a direction opposite to the usual" and "in a direction contrary to the apparent course of the sun". It is cognate with the German language ''widersinnig'', i.e., "against" + "sense". The term "widdershins" was especially common in Scots language, Lowland Scots. The opposite of widder ...
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Angular Velocity Vector
In physics, angular velocity (symbol or \vec, the lowercase Greek letter omega), also known as the angular frequency vector,(UP1) is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction. The magnitude of the pseudovector, \omega=\, \boldsymbol\, , represents the ''angular speed'' (or ''angular frequency''), the angular rate at which the object rotates (spins or revolves). The pseudovector direction \hat\boldsymbol=\boldsymbol/\omega is normal to the instantaneous plane of rotation or angular displacement. There are two types of angular velocity: * Orbital angular velocity refers to how fast a point object revolves about a fixed origin, i.e. the time rate of change of its angular position relative to the origin. * Spin angular velocity refers to how fast a rigid body rotates around a fixed ...
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Sunwise
Sunwise, sunward or deasil (sometimes spelled ''deosil''), are terms meaning to go clockwise or in the direction of the sun, as seen from the Northern Hemisphere. The opposite term is ''widdershins'' (Middle Low German), or ''tuathal'' (Scottish Gaelic). In Scottish culture, this turning direction is also considered auspicious, while the converse is true for counter-clockwise motion. Irish culture During the days of Gaelic Ireland and of the Irish clans, the Psalter known as was used as both a rallying cry and protector in battle by the Chief of the Name, Chiefs of O'Donnell dynasty, Clan O'Donnell. Before a battle it was customary for a chosen monk or holy man (usually attached to the Clan McGroarty and who was in a state (theology), state of grace) to wear the Cathach and the cumdach, or book shrine, around his neck and then walk three times sunwise around the warriors of Clan O'Donnell.Stokes, Roy. ''A Bibliographical Companion''. Scarecrow Press, 2011. , p. 80 According to ...
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Sundial
A sundial is a horology, horological device that tells the time of day (referred to as civil time in modern usage) when direct sunlight shines by the position of the Sun, apparent position of the Sun in the sky. In the narrowest sense of the word, it consists of a flat plate (the ''dial'') and a gnomon, which casts a shadow onto the dial. As the Sun diurnal motion, appears to move through the sky, the shadow aligns with different hour-lines, which are marked on the dial to indicate the time of day. The ''style'' is the time-telling edge of the gnomon, though a single point or ''nodus'' may be used. The gnomon casts a broad shadow; the shadow of the style shows the time. The gnomon may be a rod, wire, or elaborately decorated metal casting. The style must be polar alignment, parallel to the axis of the Earth's rotation for the sundial to be accurate throughout the year. The style's angle from horizontal is equal to the sundial's geographical latitude. The term ''sundial'' can r ...
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Two-dimensional Rotation
In Euclidean geometry, two-dimensional rotations and reflections are two kinds of Euclidean plane isometries which are related to one another. Process A rotation in the plane can be formed by composing a pair of reflections. First reflect a point to its image on the other side of line . Then reflect to its image on the other side of line . If lines and make an angle with one another, then points and will make an angle around point , the intersection of and . I.e., angle will measure . A pair of rotations about the same point will be equivalent to another rotation about point . On the other hand, the composition of a reflection and a rotation, or of a rotation and a reflection (composition is not commutative), will be equivalent to a reflection. Mathematical expression The statements above can be expressed more mathematically. Let a rotation about the origin by an angle be denoted as . Let a reflection about a line through the origin which makes an angle ...
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Münster Astronomical Clock
The Münster astronomical clock is an astronomical clock in Münster Cathedral in Münster, Germany. The clock, built between 1540 and 1542, is one of the most significant monumental clocks in the German-speaking world. It belongs to the so-called "Family of Hanseatic Clocks", of which other examples survive in Gdańsk (Gdańsk astronomical clock, clock), Rostock (Rostock astronomical clock, clock), Stralsund (Astronomical clock, St. Nicholas Church, Stralsund, clock) and Stendal in near-original condition (two further clocks in Lübeck and Wismar were destroyed in 1942 and 1945 respectively). The Münster clock shares a range of characteristics with this family of clocks. Situated in a vault between the high choir and the south arm of the ambulatory at the cathedral's east end, the clock is one of the few existing monumental clocks which turns anti-clockwise. The chimes inside the clock (10 bells, tonal range of d♭1–f2) can be operated from the cathedral organ. History ...
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Judaism
Judaism () is an Abrahamic religions, Abrahamic, Monotheism, monotheistic, ethnic religion that comprises the collective spiritual, cultural, and legal traditions of the Jews, Jewish people. Religious Jews regard Judaism as their means of observing the Mosaic covenant, which they believe was established between God in Judaism, God and the Jewish people. The religion is considered one of the earliest monotheistic religions. Jewish religious doctrine encompasses a wide body of texts, practices, theological positions, and forms of organization. Among Judaism's core texts is the Torah—the first five books of the Hebrew Bible—and a collection of ancient Hebrew scriptures. The Tanakh, known in English as the Hebrew Bible, has the same books as Protestant Christianity's Old Testament, with some differences in order and content. In addition to the original written scripture, the supplemental Oral Torah is represented by later texts, such as the Midrash and the Talmud. The Hebrew ...
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Jewish Town Hall (Prague)
The Jewish Town Hall () in Josefov, Prague, was constructed adjacent to the Old New Synagogue on the corner of Maiselova and Červená Ulice in 1586 in Renaissance style under the sponsorship of Mayor Mordechai Maisel. It acquired its Rococo facade in the 18th century. The building was the main meeting house of the local Jewish community but is currently closed to the public. It is perhaps best known for its two clocks, one on a tower with Roman numeral markings, the other, lower, has Hebrew numerals, which are the same as letters in the Hebrew alphabet. The Hebrew numerals begin with aleph and continue counterclockwise around the clock dial. See also * Prague Orloj The Prague astronomical clock or Prague Orloj ( ) is a Middle Ages, medieval astronomical clock attached to the Old Town Hall (Prague), Old Town Hall in Prague, the capital of the Czech Republic. Description The Orloj is mounted on the southe ... Buildings and structures in Prague Clock towers in the Cze ...
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Hebrew Language
Hebrew (; ''ʿÎbrit'') is a Northwest Semitic language within the Afroasiatic language family. A regional dialect of the Canaanite languages, it was natively spoken by the Israelites and remained in regular use as a first language until after 200 CE and as the liturgical language of Judaism (since the Second Temple period) and Samaritanism. The language was revived as a spoken language in the 19th century, and is the only successful large-scale example of linguistic revival. It is the only Canaanite language, as well as one of only two Northwest Semitic languages, with the other being Aramaic, still spoken today. The earliest examples of written Paleo-Hebrew date back to the 10th century BCE. Nearly all of the Hebrew Bible is written in Biblical Hebrew, with much of its present form in the dialect that scholars believe flourished around the 6th century BCE, during the time of the Babylonian captivity. For this reason, Hebrew has been referred to by Jews as '' ...
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Evo Morales
Juan Evo Morales Ayma (; born 26 October 1959) is a Bolivian politician, trade union organizer, and former cocalero activist who served as the 65th president of Bolivia from 2006 to 2019. Widely regarded as the country's first president to come from its indigenous population, his administration worked towards the implementation of left-wing policies, focusing on the legal protections and socioeconomic conditions of Bolivia's previously marginalized indigenous population and combating the political influence of the United States and resource-extracting multinational corporations. Ideologically a socialist, he led the Movement for Socialism (MAS) party from 1998 to 2024. Born to an Aymara family of subsistence farmers in Isallawi, Orinoca Canton, Morales undertook a basic education and mandatory military service before moving to the Chapare Province in 1978. Growing coca and becoming a trade unionist, he rose to prominence in the '' campesino'' ("rural laborers") union. I ...
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Bolivia
Bolivia, officially the Plurinational State of Bolivia, is a landlocked country located in central South America. The country features diverse geography, including vast Amazonian plains, tropical lowlands, mountains, the Gran Chaco Province, warm valleys, high-altitude Andean plateaus, and snow-capped peaks, encompassing a wide range of climates and biomes across its regions and cities. It includes part of the Pantanal, the largest tropical wetland in the world, along its eastern border. It is bordered by Brazil to the Bolivia-Brazil border, north and east, Paraguay to the southeast, Argentina to the Argentina-Bolivia border, south, Chile to the Bolivia–Chile border, southwest, and Peru to the west. The seat of government is La Paz, which contains the executive, legislative, and electoral branches of government, while the constitutional capital is Sucre, the seat of the judiciary. The largest city and principal industrial center is Santa Cruz de la Sierra, located on the Geog ...
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Plaza Murillo
The Plaza Murillo is the central plaza of the city of La Paz and the open space most connected to the political life of Bolivia. Prominent buildings on the plaza include the Presidential Palace, National Congress of Bolivia, and the Cathedral of La Paz (or more formally, the Cathedral Basilica of Our Lady of Peace, La Paz). It is located in the old town, or ''Casco Viejo'', of the city and is surrounded by Socabaya Street to the west, Ayacucho Street to the east, Comercio Street to the south, and a continuation of Ingavi and Ballivan Streets to the north. Names The Plaza was originally named the Plaza Mayor (''Greatest/Main Plaza'') after its construction. It was later known during the colonial period as the Plaza de Armas. Following independence, it was renamed the 16 July Plaza (Plaza 16 de Julio) on 3 February 1902, in honor of Pedro Murillo, captured and hung by Spanish troops in January 1810. History The plaza was designed in 1558 as part of the rectilinear grid of La Paz b ...
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