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Ruler
A ruler, sometimes called a rule, scale, line gauge, or metre/meter stick, is an instrument used to make length measurements, whereby a length is read from a series of markings called "rules" along an edge of the device. Usually, the instrument is rigid and the edge itself is a straightedge ("ruled straightedge"), which additionally allows one to draw straighter lines. Rulers are an important tool in geometry, geography and mathematics. They have been used since at least 2650 BC. Variants Rulers have long been made from different materials and in multiple sizes. Historically, they were mainly wood but plastics have also been used. They can be created with length markings instead of being wikt:scribe, scribed. Metal is also used for more durable rulers for use in the workshop; sometimes a metal edge is embedded into a wooden desk ruler to preserve the edge when used for straight-line cutting. Typically in length, though some can go up to 100 cm, it is useful for a ruler to ...
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Angle Trisection
Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a Compass (drawing tool), compass. In 1837, Pierre Wantzel proved that the problem, as stated, is Proof of impossibility, impossible to solve for arbitrary angles. However, some special angles can be trisected: for example, it is trivial to trisect a right angle. It is possible to trisect an arbitrary angle by using tools other than straightedge and compass. For example, neusis construction, also known to ancient Greeks, involves simultaneous sliding and rotation of a marked straightedge, which cannot be achieved with the original tools. Other techniques were developed by mathematicians over the centuries. Because it is defined in simple terms, but complex to prove unsolvable, the problem of angle trisection is a frequent subject of pse ...
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Compass And Straightedge
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an Idealization (science philosophy), idealized ruler and a Compass (drawing tool), compass. The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it. The compass is assumed to have no maximum or minimum radius, and is assumed to "collapse" when lifted from the page, so it may not be directly used to transfer distances. (This is an unimportant restriction since, using a multi-step procedure, a distance can be transferred even with a collapsing compass; see compass equivalence theorem. Note however that whilst a non-collapsing compass held against a straightedge might seem to be equivalent to marking it, the neusis construction is still impermissible and this is what unmarked really ...
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Nippur
Nippur (Sumerian language, Sumerian: ''Nibru'', often logogram, logographically recorded as , EN.LÍLKI, "Enlil City;"I. E. S. Edwards, C. J. Gadd, N. G. L. Hammond, ''The Cambridge Ancient History: Prolegomena & Prehistory'': Vol. 1, Part 1, Cambridge University Press, 1970 Akkadian language, Akkadian: ''Nibbur'') was an ancient Sumerian city. It was the special seat of the worship of the Sumerian god Enlil, the "Lord Wind", ruler of the Ancient Near Eastern cosmology , cosmos, subject to Anu, An alone. Nippur was located in modern Nuffar 5 miles north of modern Afak, Al-Qādisiyyah Governorate, Iraq. It is roughly 200 kilometers south of modern Baghdad and about 100 km southeast of the ancient city of Babylon. Occupation at the site extended back to the Ubaid period (Ubaid 2 – Hajji Muhammed), the Uruk period, and the Jemdet Nasr period. The origin of the ancient name is unknown but different proposals have been made. History Nippur never enjoyed political hegemony in its ...
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Neusis
In geometry, the neusis (; ; plural: ) is a geometric construction method that was used in antiquity by Greek mathematics, Greek mathematicians. Geometric construction The neusis construction consists of fitting a line element of given length () in between two given lines ( and ), in such a way that the line element, or its extension, passes through a given point . That is, one end of the line element has to lie on , the other end on , while the line element is "inclined" towards . Point is called the pole of the neusis, line the directrix, or guiding line, and line the catch line. Length is called the ''diastema'' (). A neusis construction might be performed by means of a marked ruler that is rotatable around the point (this may be done by putting a pin into the point and then pressing the ruler against the pin). In the figure one end of the ruler is marked with a yellow eye with crosshairs: this is the origin of the scale division on the ruler. A second marking on the ...
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Sumer
Sumer () is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging during the Chalcolithic and Early Bronze Age, early Bronze Ages between the sixth and fifth millennium BC. Like nearby Elam, it is one of the Cradle of civilization, cradles of civilization, along with ancient Egypt, Egypt, the Indus Valley Civilisation, Indus Valley, the Erligang culture of the Yellow River valley, Caral-Supe civilization, Caral-Supe, and Mesoamerica. Living along the valleys of the Tigris and Euphrates rivers, Sumerian farmers grew an abundance of grain and other crops, a surplus of which enabled them to form urban settlements. The world's earliest known texts come from the Sumerian cities of Uruk and Jemdet Nasr, and date to between , following a period of proto-writing . Name The term "Sumer" () comes from the Akkadian Empire, Akkadian name for the "Sumerians", the ancient non-Semitic languages, Semitic-speaking inhabitan ...
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Yardstick
A metre-stick, metrestick (or meter-stick and meterstick as alternative spellings); or yardstick is either a straightedge or foldable ruler used to Measurement, measure length, and is especially common in the construction industry. They are often made of wood or plastic, and often have metal or plastic joints so that they can be folded together. The normal length of a metre-stick made for the international market is either one or two metres, while a yardstick made for the U.S. market is typically one yard (3 foot (unit), feet or 0.9144 Metre, metres) long. Metre-sticks are usually divided with lines for each millimetre (1000 per metre) and numerical markings per centimetre (100 per metre), with numbers either in centimetres or millimetres. Yardsticks are most often marked with a scale in inches, but sometimes also feature marks for foot increments. Hybrid sticks with more than one measurement system also exist, most notably those which have Metric system, metric measurements on ...
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Meter Stick
A metre-stick, metrestick (or meter-stick and meterstick as alternative spellings); or yardstick is either a straightedge or foldable ruler used to measure length, and is especially common in the construction industry. They are often made of wood or plastic, and often have metal or plastic joints so that they can be folded together. The normal length of a metre-stick made for the international market is either one or two metres, while a yardstick made for the U.S. market is typically one yard (3 feet or 0.9144 metres) long. Metre-sticks are usually divided with lines for each millimetre (1000 per metre) and numerical markings per centimetre (100 per metre), with numbers either in centimetres or millimetres. Yardsticks are most often marked with a scale in inches, but sometimes also feature marks for foot increments. Hybrid sticks with more than one measurement system also exist, most notably those which have metric measurements on one side and U.S. customary units on the othe ...
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Length Measurement
Length measurement, distance measurement, or range measurement (ranging) all refer to the many ways in which length, distance, or range can be measured. The most commonly used approaches are the rulers, followed by transit-time methods and the interferometer methods based upon the speed of light. Surveying is one ancient use of measuring long distances. For tiny objects such as crystals and diffraction gratings, diffraction is used with X-ray light, or even electron beams. Measurement techniques for three-dimensional structures very small in every dimension use specialized instruments such as ion microscopy coupled with intensive computer modeling. These techniques are employed, for example, to measure the tiny features on wafers during the manufacture of chips. Standard rulers The ruler the simplest kind of length measurement tool: lengths are defined by printed marks or engravings on a stick. The metre was initially defined using a ruler before more accurate methods becam ...
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Lothal
Lothal () was one of the southernmost sites of the ancient Indus Valley civilization, Indus Valley civilisation, located in the Bhal region of the Indian state of Gujarat. Construction of the city is believed to have begun around 2200 BCE. Discovery The Archaeological Survey of India (ASI), the official Government of India, Indian government List of agencies of the government of India, agency for the preservation of ancient monuments, discovered Lothal in 1954. Excavation work in Lothal commenced on 13 February 1955 and continued till 19 May 1960. According to the ASI, arguably Lothal had the world's earliest known dock (maritime), dock, which connected the city to an ancient course of the Sabarmati River on the trade route. This trade route stretched between Harappan cities in Sindh (Pakistan) and the peninsula of Saurashtra (region), Saurashtra where the surrounding Kutch desert of today was a part of the Arabian Sea. However, this interpretation has been challenged by other ...
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Measuring Rod
A measuring rod is a tool used to physically length measurement, measure lengths and surveying, survey areas of various sizes. Most measuring rods are round or square sectioned; however, they can also be flat boards. Some have markings at regular intervals. It is likely that the measuring rod was used before the line, chain or steel tapes used in modern measurement. History Ancient Sumer The oldest preserved measuring rod is a copper-alloy bar which was found by the Germans, German Assyriology, Assyriologist Eckhard Unger while excavating at Nippur (pictured below). The bar dates from c. 2650 BC. and Unger claimed it was used as a measurement standard. This irregularly formed and irregularly marked ''graduated rule'' supposedly defined the ''Sumerian cubit'' as about , although this does not agree with other evidence from the statues of Gudea from the same region, five centuries later. Ancient India Rulers made from ivory were in use by the Indus Valley Civilization in what ...
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Tape Measure
A tape measure or measuring tape is a long, flexible ruler used to measure length or distance. It usually consists of a ribbon of cloth, plastic, fibreglass, or metal (usually - hard steel alloy) strip with linear measurement markings. Types Tape measures are often designed for specific uses or trades. Tapes may have different scales, be made of different materials, and be of different lengths depending on the intended use. Tape measures used in sewing, tailoring are called "sewing tape". Originally made from flexible cloth or plastic, fiberglass is now the preferred material due to its resistance from stretching or tearing. Sewing tape is mainly used for the measuring of the subject's waist line.Measuring tapes designed for carpenter, carpentry or construction often use a curved metallic ribbon that can remain stiff and straight when extended, but can also retract into a coil for convenient storage. This type of tape measure will have a hook on the end to aid measuring. The hoo ...
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Indus Valley Civilization
The Indus Valley Civilisation (IVC), also known as the Indus Civilisation, was a Bronze Age civilisation in the northwestern regions of South Asia, lasting from 3300  BCE to 1300 BCE, and in its mature form from 2600 BCE to 1900 BCE. Together with ancient Egypt and Mesopotamia, it was one of three early civilisations of the Near East and South Asia, and of the three, the most widespread, its sites spanning an area including much of Pakistan, northwestern India and northeast Afghanistan. The civilisation flourished both in the alluvial plain of the Indus River, which flows through the length of Pakistan, and along a system of perennial monsoon-fed rivers that once coursed in the vicinity of the Ghaggar-Hakra, a seasonal river in northwest India and eastern Pakistan. The term ''Harappan'' is sometimes applied to the Indus Civilisation after its type site Harappa, the first to be excavated early in the 20th century in what was then the Punjab ...
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