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Yupana
A ''yupana'' (from Quechua: ''yupay'' 'count') is an abacus used to perform arithmetic operations, dating back to the time of the Incas. Types The term ''yupana'' refers to two distinct classes of objects: * Table Yupana (or archaeological yupana): a system of geometric boxes of different sizes and materials. Seeds or pebbles were placed inside the boxes, presumably for performing complex arithmetic calculations. The first example of this type was found in 1869 in the Ecuadorian province of Azuay and prompted searches for more of these objects. All examples of the archaeological ''yupana'' vary greatly from each other.Radicati di Primeglio"Il sistema contabile degli Inca: Yupana e Quipu" 1979 Some archaeological ''yupanas'' found in Manchán (an archaeological site in Casma) and Huacones-Vilcahuasi (in Cañete) were embedded into the floor. * Poma de Ayala Yupana: a picture on page 360 of El primer nueva corónica y buen gobierno, written by the Amerindian chronicler Felip ...
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Yupana 1
A ''yupana'' (from Quechua: ''yupay'' 'count') is an abacus used to perform arithmetic operations, dating back to the time of the Incas. Types The term ''yupana'' refers to two distinct classes of objects: * Table Yupana (or archaeological yupana): a system of geometric boxes of different sizes and materials. Seeds or pebbles were placed inside the boxes, presumably for performing complex arithmetic calculations. The first example of this type was found in 1869 in the Ecuadorian province of Azuay and prompted searches for more of these objects. All examples of the archaeological ''yupana'' vary greatly from each other.Radicati di Primeglio"Il sistema contabile degli Inca: Yupana e Quipu" 1979 Some archaeological ''yupanas'' found in Manchán (an archaeological site in Casma) and Huacones-Vilcahuasi (in Cañete) were embedded into the floor. * Poma de Ayala Yupana: a picture on page 360 of El primer nueva corónica y buen gobierno, written by the Amerindian chronicler Felip ...
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Yupana
A ''yupana'' (from Quechua: ''yupay'' 'count') is an abacus used to perform arithmetic operations, dating back to the time of the Incas. Types The term ''yupana'' refers to two distinct classes of objects: * Table Yupana (or archaeological yupana): a system of geometric boxes of different sizes and materials. Seeds or pebbles were placed inside the boxes, presumably for performing complex arithmetic calculations. The first example of this type was found in 1869 in the Ecuadorian province of Azuay and prompted searches for more of these objects. All examples of the archaeological ''yupana'' vary greatly from each other.Radicati di Primeglio"Il sistema contabile degli Inca: Yupana e Quipu" 1979 Some archaeological ''yupanas'' found in Manchán (an archaeological site in Casma) and Huacones-Vilcahuasi (in Cañete) were embedded into the floor. * Poma de Ayala Yupana: a picture on page 360 of El primer nueva corónica y buen gobierno, written by the Amerindian chronicler Felip ...
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Abacus
The abacus (''plural'' abaci or abacuses), also called a counting frame, is a calculating tool which has been used since ancient times. It was used in the ancient Near East, Europe, China, and Russia, centuries before the adoption of the Hindu-Arabic numeral system. The exact origin of the abacus has not yet emerged. It consists of rows of movable beads, or similar objects, strung on a wire. They represent digits. One of the two numbers is set up, and the beads are manipulated to perform an operation such as addition, or even a square or cubic root. In their earliest designs, the rows of beads could be loose on a flat surface or sliding in grooves. Later the beads were made to slide on rods and built into a frame, allowing faster manipulation. Abacuses are still made, often as a bamboo frame with beads sliding on wires. In the ancient world, particularly before the introduction of positional notation, abacuses were a practical calculating tool. The abacus is still used to te ...
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Incas
The Inca Empire (also Quechuan and Aymaran spelling shift, known as the Incan Empire and the Inka Empire), called ''Tawantinsuyu'' by its subjects, (Quechuan languages, Quechua for the "Realm of the Four Parts",  "four parts together" ) was the largest empire in pre-Columbian America. The administrative, political and military center of the empire was in the city of Cusco. The History of the Incas, Inca civilization arose from the Peruvian highlands sometime in the early 13th century. The Spanish Empire, Spanish began the conquest of the Inca Empire in 1532 and by 1572, neo-Inca State, the last Inca state was fully conquered. From 1438 to 1533, the Incas incorporated a large portion of western South America, centered on the Andes, Andean Mountains, using conquest and peaceful assimilation, among other methods. At its largest, the empire joined modern-day Peru, what are now western Ecuador, western and south central Bolivia, northwest Argentina, the southwesternmost tip of ...
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Stone
In geology, rock (or stone) is any naturally occurring solid mass or aggregate of minerals or mineraloid matter. It is categorized by the minerals included, its Chemical compound, chemical composition, and the way in which it is formed. Rocks form the Earth's outer solid layer, the Earth's crust, crust, and most of its interior, except for the liquid Earth's outer core, outer core and pockets of magma in the asthenosphere. The study of rocks involves multiple subdisciplines of geology, including petrology and mineralogy. It may be limited to rocks found on Earth, or it may include planetary geology that studies the rocks of other celestial objects. Rocks are usually grouped into three main groups: igneous rocks, sedimentary rocks and metamorphic rocks. Igneous rocks are formed when magma cools in the Earth's crust, or lava cools on the ground surface or the seabed. Sedimentary rocks are formed by diagenesis and lithification of sediments, which in turn are formed by the weathe ...
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Caraz
Caraz is a town in the Caraz District in the southeastern part of Huaylas Province of the Ancash Region in Peru. Political Creation Recent investigations suggest that its political creation happened on 12 February 1821 when General San Martín, while staying in Huaura (village north of Lima), founded four departments including Huaylas, which had Caraz as its capital. In 1857 it was split in two, giving birth to the new province of Huaraz. The District of Caraz was created by the Administration of Liberation of Don Simón Bolivar, legitimized by law on December 29, 1857, and sanctioned a year later. The city of Caraz became the capital of the Province of Huaylas on July 25, 1857. Etymology The origin of the name ''Caraz'' is uncertain. One possibility is that it derives from the quechua word ''QARA-PUNKu'', meaning "leather door", as the doors in Caraz were once covered with leather. Don Celso V. Torres maintains that the name comes from the quechua word ''KALLASH'' meaning steri ...
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Taxes
A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behaviour aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs. The first known taxation took place in Ancient Egypt around 3000–2800 BC. A failure to pay in a timely manner ( non-compliance), along with evasion of or resistance to taxation, is punishable by law. Taxes consist of direct or indirect taxes and may be paid in money or as its labor equivalent. Most countries have a tax system in place, in order to pay for public, common societal, or agreed national needs and for the functions of government. Some levy a flat percentage rate of taxation on personal annual income, but m ...
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Charles Wiener
Charles Wiener (1851–1913) was an Austrian-French scientist-explorer. Born in Vienna, he is perhaps best known as the explorer who traveled extensively in Peru, climbed the Illimani and came close to re-discovering Machu Picchu. Biography His first intellectual stirrings were in the area of linguistics, since he published a small work on this subject in 1873. Later, he was a teacher of German in Paris. He received a doctor's degree in philosophy from the University of Rostock with a dissertation edited with the title of ''Essai sur les institutions politiques, religieuses, économiques et sociales de l´Empire des Incas'', Paris, 1874, work for which he contacted other students of Mesoamerican antiquity. According to Kim MacQuarrie, Wiener, in his exploration, would travel from Ollantaytambo up over the Panticalla Pass until he arrived at the Urubamba River at the bridge crossing of Chuquichaca. In a book he published in 1880, Wiener wrote of how locals in Ollantaytambo had ...
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José De Acosta
José de Acosta (1539 or 1540 in Medina del Campo, Spain – February 15, 1600 in Salamanca, Spain) was a sixteenth-century Spanish Jesuit missionary and naturalist in Latin America. His deductions regarding the ill effects of crossing over the Andes in 1570 related to the atmosphere being too thin for human needs; a variety of altitude sickness is now referred to as ''Acosta's disease''. Life José de Acosta was born at Medina del Campo in Spain, where his parents lived in this city of the plain, about twenty-four miles from Valladolid, in Old Castile, on the left bank of the swampy river Zapardiel, and overlooked by the old castle of La Mota. He was of converso background, His parents had five sons, Gerónimo, Christóval, José, Diego, and Bernardo. The Acosta brothers were fellow townsmen of the old soldier Bernal Diaz, who told the story of the conquest of Mexico, but they were many years younger than him. In 1553, at the age of thirteen, Acosta became a novice in the Socie ...
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Diagonal
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal. The word ''diagonal'' derives from the ancient Greek διαγώνιος ''diagonios'', "from angle to angle" (from διά- ''dia-'', "through", "across" and γωνία ''gonia'', "angle", related to ''gony'' "knee"); it was used by both Strabo and Euclid to refer to a line connecting two vertices of a rhombus or cuboid, and later adopted into Latin as ''diagonus'' ("slanting line"). In matrix algebra, the diagonal of a square matrix consists of the entries on the line from the top left corner to the bottom right corner. There are also other, non-mathematical uses. Non-mathematical uses In engineering, a diagonal brace is a beam used to brace a rectangular structure (such as scaffolding) to withstand strong forces pushing into it; although called a diagonal, due to practical consideration ...
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Octagonal
In geometry, an octagon (from the Greek ὀκτάγωνον ''oktágōnon'', "eight angles") is an eight-sided polygon or 8-gon. A '' regular octagon'' has Schläfli symbol and can also be constructed as a quasiregular truncated square, t, which alternates two types of edges. A truncated octagon, t is a hexadecagon, . A 3D analog of the octagon can be the rhombicuboctahedron with the triangular faces on it like the replaced edges, if one considers the octagon to be a truncated square. Properties of the general octagon The sum of all the internal angles of any octagon is 1080°. As with all polygons, the external angles total 360°. If squares are constructed all internally or all externally on the sides of an octagon, then the midpoints of the segments connecting the centers of opposite squares form a quadrilateral that is both equidiagonal and orthodiagonal (that is, whose diagonals are equal in length and at right angles to each other).Dao Thanh Oai (2015), "Equilatera ...
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Square
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose internal angle, central angle, and external angle are all equal (90°), and whose diagonals are all equal in length. A square with vertices ''ABCD'' would be denoted . Characterizations A convex quadrilateral is a square if and only if it is any one of the following: * A rectangle with two adjacent equal sides * A rhombus with a right vertex angle * A rhombus with all angles equal * A parallelogram with one right vertex angle and two adjacent equal sides * A quadrilateral with four equal sides and four right angles * A quadrilateral where the diagonals are equal, and are the perpendicular bisectors of each other (i.e., a rhombus with equal diagonals) * A convex quadrilateral with successiv ...
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