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Lahun Mathematical Papyri
The Lahun Mathematical Papyri (also known as the Kahun Mathematical Papyri) is an ancient Egyptian mathematical text. It forms part of the Kahun Papyri, which was discovered at El-Lahun (also known as Lahun, Kahun or Il-Lahun) by Flinders Petrie during excavations of a workers' town near the pyramid of the 12th dynasty pharaoh Sesostris II. The Kahun Papyri are a collection of texts including administrative texts, medical texts, veterinarian texts and six fragments devoted to mathematics. Fragments The mathematical texts most commented on are usually named: * Lahun IV.2 (or Kahun IV.2) (UC 32159): This fragment contains a table of Egyptian fraction representations of numbers of the form 2/''n''. A more complete version of this table of fractions is given in the Rhind Mathematical Papyrus.Clagett, Marshall ''Ancient Egyptian Science, A Source Book''. Volume Three: Ancient Egyptian Mathematics (Memoirs of the American Philosophical Society) American Philosophical Society. 1999 ; Ann ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 5½ m (18 ft) long and varying between wide, its format was divided by the Soviet Orientalist Vasily Vasilievich Stru ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Manuscripts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Egyptian Papyri
Egyptian describes something of, from, or related to Egypt. Egyptian or Egyptians may refer to: Nations and ethnic groups * Egyptians, a national group in North Africa ** Egyptian culture, a complex and stable culture with thousands of years of recorded history ** Egyptian cuisine, the local culinary traditions of Egypt * Egypt, the modern country in northeastern Africa ** Egyptian Arabic, the language spoken in contemporary Egypt ** A citizen of Egypt; see Demographics of Egypt * Ancient Egypt, a civilization from c. 3200 BC to 343 BC ** Ancient Egyptians, ethnic people of ancient Egypt ** Ancient Egyptian architecture, the architectural structure style ** Ancient Egyptian cuisine, the cuisine of ancient Egypt ** Egyptian language, the oldest known language of Egypt and a branch of the Afroasiatic language family * Copts, the ethnic Egyptian Christian minority ** Coptic language or Coptic Egyptian, the latest stage of the Egyptian language, spoken in Egypt until the 17th centur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Egyptian Fractions
An Egyptian fraction is a finite sum of distinct unit fractions, such as \frac+\frac+\frac. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number \tfrac; for instance the Egyptian fraction above sums to \tfrac. Every positive rational number can be represented by an Egyptian fraction. Sums of this type, and similar sums also including \tfrac and \tfrac as summands, were used as a serious notation for rational numbers by the ancient Egyptians, and continued to be used by other civilizations into medieval times. In modern mathematical notation, Egyptian fractions have been superseded by vulgar fractions and decimal notation. However, Egyptian fractions continue to be an object of study in modern number theory and recreational mathematics, as well as in modern historical studies of ancient mathematics. Appl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 a numeral system for counting and solving written mathematical problems, often involving multiplication and fractions. Evidence for Egyptian mathematics is limited to a scarce amount of surviving sources written on papyrus. From these texts it is known that ancient Egyptians understood concepts of geometry, such as determining the surface area and volume of three-dimensional shapes useful for architectural engineering, and 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 found in Tomb U-j at Abydos. These labels appear to have been used as tags for grave goods and some are inscribed with numbers. Further evidence of the use of the base 1 ... [...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] |
Red Auxiliary Numbers
In the study of ancient Egyptian mathematics, red auxiliary numbers are numbers written in red ink in the Rhind Mathematical Papyrus, apparently used as aids for arithmetic computations involving fractions.It is considered to be the first examples of method that uses Least common multiple In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers ''a'' and ''b'', usually denoted by lcm(''a'', ''b''), is the smallest positive integer that is divisible by bot ...s. References * * * Egyptian mathematics Egyptian fractions Mathematics manuscripts {{math-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
RMP 2/n Table
The Rhind Mathematical Papyrus, an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/''n'' into Egyptian fractions (sums of distinct unit fractions), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers. It was written during the Second Intermediate Period of Egypt (approximately 1650–1550 BCE) by Ahmes, the first writer of mathematics whose name is known. Aspects of the document may have been copied from an unknown 1850 BCE text. Table The following table gives the expansions listed in the papyrus. This part of the Rhind Mathematical Papyrus was spread over nine sheets of papyrus. Explanations Any rational number has infinitely many different possible expansions as a sum of unit fractions, and since the discovery of the Rhind Mathematical Papyrus mathematicians have struggled to understand how the ancient Egyptians might have calculated the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, Ark of the Covenant, Tabernacle, Solomon's Temple Solomon's Temple, also known as the First Temple (, , ), was the Temple in Jerusalem between the 10th century BC and . According to the Hebrew Bible, it was commissioned by Solomon in the United Kingdom of Israel before being inherited by th .... The ''common cubit'' was divided into 6 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 time ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
