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Berlin Papyrus 6619
The Berlin Papyrus 6619, simply called the Berlin Papyrus when the context makes it clear, is one of the primary sources of ancient Egyptian mathematics. One of the two mathematics problems on the Papyrus may suggest that the ancient Egyptians knew the Pythagorean theorem. Description, dating, and provenance The Berlin Papyrus 6619 is an ancient Egyptian papyrus document from the Middle Kingdom, second half of the 12th (c. 1990–1800 BC) or 13th Dynasty (c. 1800 BC – 1649 BC). The two readable fragments were published by Hans Schack-Schackenburg in 1900 and 1902. Connection to the Pythagorean theorem The Berlin Papyrus contains two problems, the first stated as "the area of a square of 100 is equal to that of two smaller squares. The side of one is ½ + ¼ the side of the other."Richard J. Gillings, ''Mathematics in the Time of the Pharaohs'', Dover, New York, 1982, 161. The interest in the question may suggest some knowledge of the Pythagorean theorem, though the papyrus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Papyrus Berlin 6619
Papyrus ( ) is a material similar to thick paper that was used in ancient times as a writing surface. It was made from the pith of the papyrus plant, ''Cyperus papyrus'', a wetland sedge. ''Papyrus'' (plural: ''papyri'') can also refer to a document written on sheets of such material, joined side by side and rolled up into a scroll, an early form of a book. Papyrus is first known to have been used in Egypt (at least as far back as the First Dynasty), as the papyrus plant was once abundant across the Nile Delta. It was also used throughout the Mediterranean region. Apart from a writing material, ancient Egyptians employed papyrus in the construction of other artifacts, such as reed boats, mats, rope, sandals, and baskets. History Papyrus was first manufactured in Egypt as far back as the fourth millennium BCE.H. Idris Bell and T.C. Skeat, 1935"Papyrus and its uses"(British Museum pamphlet). The earliest archaeological evidence of papyrus was excavated in 2012 and 2013 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ancient Egyptian Mathematics
Ancient Egyptian mathematics is the mathematics that was developed and used in Ancient Egypt 3000 to c. , from the Old Kingdom of Egypt until roughly the beginning of Hellenistic Egypt. The ancient Egyptians utilized Egyptian numerals, a numeral system for counting and solving written mathematical problems, often involving Ancient Egyptian multiplication, multiplication and Egyptian fractions, fractions. Evidence for Egyptian mathematics is limited to a scarce amount of List of ancient Egyptian papyri, surviving sources written on papyrus. From these texts it is known that ancient Egyptians understood concepts of Egyptian geometry, geometry, such as determining the surface area and volume of three-dimensional shapes useful for Ancient Egyptian architecture, architectural engineering, and Egyptian algebra, algebra, such as the false position method and quadratic equations. Overview Written evidence of the use of mathematics dates back to at least 3200 BC with the ivory labels fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University At Buffalo, The State University Of New York
The State University of New York at Buffalo, commonly called the University at Buffalo (UB) and sometimes called SUNY Buffalo, is a public research university with campuses in Buffalo and Amherst, New York. The university was founded in 1846 as a private medical college and merged with the State University of New York system in 1962. It is one of the two flagship institutions of the SUNY system. As of fall 2020, the university enrolled 32,347 students in 13 schools and colleges, making it the largest and most comprehensive public university in the state of New York. Since its founding by a group which included future United States President Millard Fillmore, the university has evolved from a small medical school to a large research university. Today, in addition to the College of Arts and Sciences, the university houses the largest state-operated medical school, dental school, education school, business school, engineering school, and pharmacy school, and is also home to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides ''a'', ''b'' and the hypotenuse ''c'', often called the Pythagorean equation: :a^2 + b^2 = c^2 , The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared dist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle Kingdom Of Egypt
The Middle Kingdom of Egypt (also known as The Period of Reunification) is the period in the history of ancient Egypt following a period of political division known as the First Intermediate Period. The Middle Kingdom lasted from approximately 2040 to 1782 BC, stretching from the reunification of Egypt under the reign of Mentuhotep II in the Eleventh Dynasty to the end of the Twelfth Dynasty. The kings of the Eleventh Dynasty ruled from Thebes and the kings of the Twelfth Dynasty ruled from el-Lisht. The concept of the Middle Kingdom as one of three golden ages was coined in 1845 by German Egyptologist Baron von Bunsen, and its definition evolved significantly throughout the 19th and 20th centuries. Some scholars also include the Thirteenth Dynasty of Egypt wholly into this period, in which case the Middle Kingdom would end around 1650 BC, while others only include it until Merneferre Ay around 1700 BC, last king of this dynasty to be attested in both Upper and Lower Egypt. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Corinna Rossi
Corinna Rossi (born 1968) is an Italian Egyptologist known for her works on Ancient Egyptian mathematics and Ancient Egyptian architecture, on the archaeology of the Kharga Oasis, and on related topics in the history of Egypt and the Levant. Biography Rossi was born in 1968 in Naples. She studied architecture at the University of Naples Federico II beginning in 1989, earning a laurea in 1994, and then moved to the University of Cambridge for graduate study in the Faculty of Oriental Studies, where she earned an M.Phil. in 1998 and a Ph.D. in 2000 in Egyptology under the supervision of Barry J. Kemp. She continued as a Junior Research Fellow of Churchill College, Cambridge. She moved back to Italy in 2004 and became Head of International Exchanges at the Collegio di Milano. In 2015 she moved to the Polytechnic University of Milan, where she is Associate Professor of Egyptology in the Department of Architecture, Built Environment, and Construction Engineering. Projects and scient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Twelfth Dynasty Of Egypt
The Twelfth Dynasty of ancient Egypt (Dynasty XII) is considered to be the apex of the Middle Kingdom by Egyptologists. It often is combined with the Eleventh, Thirteenth, and Fourteenth dynasties under the group title, Middle Kingdom. Some scholars only consider the 11th and 12th dynasties to be part of the Middle Kingdom. History The chronology of the Twelfth Dynasty is the most stable of any period before the New Kingdom. The Turin Royal Canon gives 213 years (1991–1778 BC). Manetho stated that it was based in Thebes, but from contemporary records it is clear that the first king of this dynasty, Amenemhat I, moved its capital to a new city named "Amenemhat-itj-tawy" ("Amenemhat the Seizer of the Two Lands"), more simply called, Itjtawy. The location of Itjtawy has not been discovered yet, but is thought to be near the Fayyum, probably near the royal graveyards at el-Lisht. The order of its rulers of the Twelfth Dynasty is well known from several sources: two lists re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thirteenth Dynasty Of Egypt
In music or music theory, a thirteenth is the note thirteen scale degrees from the root of a chord and also the interval between the root and the thirteenth. The interval can be also described as a compound sixth, spanning an octave plus a sixth. The thirteenth is most commonly major or minor . A thirteenth chord is the stacking of six (major or minor) thirds, the last being above the 11th of an eleventh chord. Thus a thirteenth chord is a tertian (built from thirds) chord containing the interval of a thirteenth, and is an extended chord if it includes the ninth and/or the eleventh. "The jazzy thirteenth is a very versatile chord and is used in many genres." Since 13th chords tend to become unclear or confused with other chords when inverted, they are generally found in root position.Benward & Saker (2009). ''Music in Theory and Practice: Volume II'', p.179. Eighth Edition. . For example, depending on voicing, a major triad with an added major sixth is usually c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Ancient Egyptian Papyri
This list of ancient Egyptian papyri includes some of the better known individual papyri written in hieroglyphs, hieratic, demotic or in Greek. Excluded are papyri found abroad or containing Biblical texts which are listed in separate lists. The content descriptions are preceded by a letter in bold font, indicating the literary genre it belongs to. In the case of collections of texts of various kinds, the first letter refers to the most important text on the papyrus. *B : biographical *D : drawings: cartoons, maps *F : funerary: Books of the Dead *L : literary texts: tales, poems *O : official records *P : private papyri, correspondence, contracts *R : religious, myths *S : scientific: mathematical, medical *T : teachings, instructions *W : wordlists See also *Elephantine papyri *List of New Testament papyri *Oxyrhynchus Papyri *Saite Oracle Papyrus References Sources *Miriam Lichtheim, ''Ancient Egyptian Literature'', Vol. 1 to 3 https://www.nytimes.com/aponline/2016/07/1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Papyrology
Papyrology is the study of manuscripts of ancient literature, correspondence, legal archives, etc., preserved on portable media from antiquity, the most common form of which is papyrus, the principal writing material in the ancient civilizations of Egypt, Greece, and Rome. Papyrology includes both the translation and interpretation of ancient documents in a variety of languages as well as the care and conservation of rare papyrus originals. Papyrology as a systematic discipline dates from the 1880s and 1890s, when large caches of well-preserved papyri were discovered by archaeologists in several locations in Egypt, such as Arsinoe (Faiyum) and Oxyrhynchus. Leading centres of papyrology include Oxford University, Heidelberg University, the Ägyptisches Museum und Papyrussamlung at the Staatliche Museen zu Berlin, Columbia University, the University of Michigan, Leiden University, the Österreichische Nationalbibliothek, University of California, Berkeley The University of C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Timeline Of Mathematics
A timeline is a display of a list of events in chronological order. It is typically a graphic design showing a long bar labelled with dates paralleling it, and usually contemporaneous events. Timelines can use any suitable scale representing time, suiting the subject and data; many use a linear scale, in which a unit of distance is equal to a set amount of time. This timescale is dependent on the events in the timeline. A timeline of evolution can be over millions of years, whereas a timeline for the day of the September 11 attacks can take place over minutes, and that of an explosion over milliseconds. While many timelines use a linear timescale—especially where very large or small timespans are relevant -- logarithmic timelines entail a logarithmic scale of time; some "hurry up and wait" chronologies are depicted with zoom lens metaphors. History Time and space, particularly the line, are intertwined concepts in human thought. The line is ubiquitous in clocks in the f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
