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Seked
Seked (or seqed) is an ancient Egyptian term describing the inclination of the triangular faces of a right pyramid. The system was based on the Egyptians' length measure known as the Cubit#Ancient Egyptian royal cubit, royal cubit. It was subdivided into seven ''palms'', each of which was sub-divided into four ''digits''. The inclination of measured slopes was therefore expressed as the number of horizontal palms and digits relative to each royal cubit rise. The seked is proportional to the reciprocal of our modern measure of slope or gradient, and to the Trigonometric functions, cotangent of the angle of elevation.Gillings: Mathematics in the Time of the Pharaohs 1982: pp 212 Specifically, if ''s'' is the seked, ''m'' the slope (rise over run), and \phi the angle of elevation from horizontal, then: :s = \frac = 7\cot(\phi). The most famous example of a seked slope is of the Great Pyramid of Giza in Egypt built around 2550 BC. Based on modern surveys, the faces of this monument ...
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Rhind Mathematical Papyrus
The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057, pBM 10058, and Brooklyn Museum 37.1784Ea-b) is one of the best known examples of ancient Egyptian mathematics. It is one of two well-known mathematical papyri, along with the Moscow Mathematical Papyrus. The Rhind Papyrus is the larger, but younger, of the two. In the papyrus' opening paragraphs Ahmes presents the papyrus as giving "Accurate reckoning for inquiring into things, and the knowledge of all things, mysteries ... all secrets". He continues: This book was copied in regnal year 33, month 4 of Season of the Inundation, Akhet, under the majesty of the King of Upper and Lower Egypt, Awserre, given life, from an ancient copy made in the time of the King of Upper and Lower Egypt Nimaatre. The scribe Ahmose writes this copy. Several books and articles about the Rhind Mathematical Papyrus have been published, and a handful of these stand out. ''The Rhind Papyrus'' was published in 192 ...
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Great Pyramid Of Giza
The Great Pyramid of Giza is the largest Egyptian pyramid. It served as the tomb of pharaoh Khufu, who ruled during the Fourth Dynasty of Egypt, Fourth Dynasty of the Old Kingdom of Egypt, Old Kingdom. Built , over a period of about 26 years, the pyramid is the oldest of the Seven Wonders of the Ancient World, and the only wonder that has remained largely intact. It is the most famous monument of the Giza pyramid complex, which is part of the World Heritage Site, UNESCO World Heritage Site "Memphis, Egypt, Memphis and its Memphite Necropolis, Necropolis". It is situated at the northeastern end of the line of the three main pyramids at Giza. Initially standing at , the Great Pyramid was the world's List of tallest buildings and structures#History, tallest human-made structure for more than 3,800 years. Over time, most of the smooth white limestone casing was removed, which lowered the pyramid's height to the current ; what is seen today is the underlying core structure. The ba ...
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Meidum
Meidum, Maydum or Maidum (, , ) is an archaeological site in Lower Egypt. It contains a large pyramid and several mudbrick mastabas. The pyramid was Egypt's first straight-sided one, but it partially collapsed in ancient times. The area is located around south of modern Cairo. Pyramid The pyramid at Meidum is thought to be just the second pyramid of four built by Sneferu after Djoser's and may have been originally built for Huni, the last pharaoh of the Third Dynasty, and continued by Sneferu. Because of its unusual appearance, the pyramid is called ''el-heram el-kaddaab'' (''false pyramid'') in Egyptian Arabic. The pyramid was erected in three phases, numbered E1, E2 and E3 by the archaeologist Borchardt. E1 was a step pyramid similar to the Djoser Pyramid. E2 was an extension around the previous building of roughly 5 m width or 10 cubits, raising the number of steps from 5 to 7. The second extension, E3, turned the original step pyramid design into a true pyramid by fill ...
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Triangulation
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points. Applications In surveying Specifically in surveying, triangulation involves only angle measurements at known points, rather than measuring distances to the point directly as in trilateration; the use of both angles and distance measurements is referred to as triangulateration. In computer vision Computer stereo vision and optical 3D measuring systems use this principle to determine the spatial dimensions and the geometry of an item. Basically, the configuration consists of two sensors observing the item. One of the sensors is typically a digital camera device, and the other one can also be a camera or a light projector. The projection centers of the sensors and the considered point on the object's surface define a (spatial) triangle. Within this triangle, the distance between the sensors is the base ''b'' and must be kn ...
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Cubit
The cubit is an ancient unit of length based on the distance from the elbow to the tip of the middle finger. It was primarily associated with the Sumerians, Egyptians, and Israelites. The term ''cubit'' is found in the Bible regarding Noah's Ark, the Ark of the Covenant, the Tabernacle, and Solomon's Temple. The ''common cubit'' was divided into 6 palm (unit), palms × 4 Finger (unit), fingers = 24 digit (unit), digits. ''Royal cubits'' added a palm for 7 palms × 4 fingers = 28 digits. These lengths typically ranged from , with an ancient Roman cubit being as long as . Cubits of various lengths were employed in many parts of the world in ancient history, antiquity, during the Middle Ages and as recently as Early modern Europe, early modern times. The term is still used in hedgelaying, the length of the forearm being frequently used to determine the interval between stakes placed within the hedge. Etymology The English word "cubit" comes from the Latin language, Latin noun ...
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Slope
In mathematics, the slope or gradient of a Line (mathematics), line is a number that describes the direction (geometry), direction of the line on a plane (geometry), plane. Often denoted by the letter ''m'', slope is calculated as the ratio of the vertical change to the horizontal change ("rise over run") between two distinct points on the line, giving the same number for any choice of points. The line may be physical – as set by a Surveying, road surveyor, pictorial as in a diagram of a road or roof, or Pure mathematics, abstract. An application of the mathematical concept is found in the grade (slope), grade or gradient in geography and civil engineering. The ''steepness'', incline, or grade of a line is the absolute value of its slope: greater absolute value indicates a steeper line. The line trend is defined as follows: *An "increasing" or "ascending" line goes from left to right and has positive slope: m>0. *A "decreasing" or "descending" line goes from left to right ...
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Trigonometric Functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis. The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their multiplicative inverse, reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric functions has a corresponding Inverse trigonometric functions, inverse function, and an analog among the hyperbolic functions. The oldest definitions of trigonometric functions, related to right-an ...
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Moscow Mathematical Papyrus
The Moscow Mathematical Papyrus, also named the Golenishchev Mathematical Papyrus after its first non-Egyptian owner, Egyptologist Vladimir Golenishchev, is an ancient Egyptian mathematical papyrus containing several problems in arithmetic, geometry, and algebra. Golenishchev bought the papyrus in 1892 or 1893 in Thebes. It later entered the collection of the Pushkin State Museum of Fine Arts in Moscow, where it remains today. Based on the palaeography and orthography of the hieratic text, the text was most likely written down in the 13th Dynasty and based on older material probably dating to the Twelfth Dynasty of Egypt, roughly 1850 BC.Clagett, Marshall. 1999. Ancient Egyptian Science: A Source Book. Volume 3: Ancient Egyptian Mathematics. Memoirs of the American Philosophical Society 232. Philadelphia: American Philosophical Society. Approximately 5.5 m (18 ft) long and varying between wide, its format was divided by the Soviet Orientalist Vasily Vasilievic ...
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Flinders Petrie
Sir William Matthew Flinders Petrie ( – ), commonly known as simply Sir Flinders Petrie, was an English people, English Egyptology, Egyptologist and a pioneer of systematic methodology in archaeology and the preservation of artefacts. He held the first chair of Egyptology in the United Kingdom, and excavated many of the most important archaeological sites in Egypt in conjunction with his Irish-born wife, Hilda Petrie, Hilda Urlin. Some consider his most famous discovery to be that of the Merneptah Stele, an opinion with which Petrie himself concurred. Undoubtedly at least as important is his 1905 discovery and correct identification of the character of the Proto-Sinaitic script, the ancestor of almost all alphabetic scripts. Petrie developed the system of dating layers based on pottery and Ceramic engineering, ceramic findings. Petrie has been denounced for his pro-eugenics views; he was a dedicated believer in the superiority of the Germanic-speaking world, Northern p ...
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Ancient Egyptian Pyramids
The Egyptian pyramids are ancient masonry structures located in Egypt. Most were built as tombs for the pharaohs and their consorts during the Old and Middle Kingdom periods. At least 138 identified pyramids have been discovered in Egypt. Approximately 80 pyramids were built within the Kingdom of Kush, now located in the modern country of Sudan. The earliest known Egyptian pyramids are at Saqqara, west of Memphis. Step-pyramid-like structures, like Mastaba 3808 attributed to pharaoh Anedjib, may predate the Pyramid of Djoser built   during the Third Dynasty. This pyramid and its surrounding complex are generally considered to be the world's oldest monumental structures constructed of dressed masonry. The most famous Egyptian pyramids are those found at Giza, on the outskirts of Cairo. Several of the Giza pyramids are counted among the largest structures ever built. The Pyramid of Khufu is the largest Egyptian pyramid and the last of the Seven Wonders of the Ancien ...
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