Yanghui Magic Square
Yang Hui (, ca. 1238–1298), courtesy name Qianguang (), was a Chinese mathematician and writer during the Song dynasty. Originally, from Qiantang (modern Hangzhou, Zhejiang), Yang worked on magic squares, magic circles and the binomial theorem, and is best known for his contribution of presenting Yang Hui's Triangle. This triangle was the same as Pascal's Triangle, discovered by Yang's predecessor Jia Xian. Yang was also a contemporary to the other famous mathematician Qin Jiushao. Written work The earliest extant Chinese illustration of 'Pascal's triangle' is from Yang's book ''Xiangjie Jiuzhang Suanfa'' ()Fragments of this book was retained in the Yongle Encyclopedia vol 16344, in British Museum Library of 1261 AD, in which Yang acknowledged that his method of finding square roots and cubic roots using "Yang Hui's Triangle" was invented by mathematician Jia XianNeedham, Volume 3, 134-137. who expounded it around 1100 AD, about 500 years before Pascal. In his book (now los ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Yang (surname)
Yang (; ) is the transcription of a Chinese family name. It is the sixth most common surname in Mainland China. It is the 16th surname on the ''Hundred Family Surnames'' text. The Yang clan was founded by Boqiao, son of Duke Wu of Jin in the Spring and Autumn Period of the Ji (姬) surname, the surname of the royal family during the Zhou dynasty ) who was enfeoffed in the state of Yang. History The German sociologist Wolfram Eberhard calls Yang the "Monkey Clan", citing the totemistic myth recorded in the ''Soushenji'' and ''Fayuan Zhulin'' that the Yangs living in southwestern Shu (modern Sichuan) were descendants of monkeys. The ''Soushenji'' "reported that in the southwest of Shu there were monkey-like animals whose names were ''jiaguo'' (猳國), ''mahua'' (馬化), or '' jueyuan'' (玃猿). These animals abducted women and sent them back when they became pregnant. If the baby were not accepted, the woman would have to die. Therefore these children were raised and they re ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Zhu Shijie
Zhu Shijie (, 1249–1314), courtesy name Hanqing (), pseudonym Songting (), was a Chinese mathematician and writer. He was a Chinese mathematician during the Yuan Dynasty. Zhu was born close to today's Beijing. Two of his mathematical works have survived. ''Introduction to Computational Studies'' ( ''Suan hsüeh Ch'i-mong''), and ''Jade Mirror of the Four Unknowns''. ''Suanxue qimeng'' The ''Suan hsüeh Ch'i-mong'' (), written in 1299, is an elementary textbook on mathematics in three volumes, 20 chapters and 259 problems. This book also showed how to measure different two-dimensional shapes and three-dimensional solids. The ''Introduction'' had an important influence on the development of mathematics in Japan. The book was once lost in China until Qing dynasty mathematician Luo Shilin bought a Korean printed edition, and re-published in Yangzhou. Since then this book was reprinted several times. ''Jade Mirror of the Four Unknowns'' Zhu's second book, ''Jade Mirror of the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Quadratic Equation
In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown (mathematics), unknown value, and , , and represent known numbers, where . (If and then the equation is linear equation, linear, not quadratic.) The numbers , , and are the ''coefficients'' of the equation and may be distinguished by respectively calling them, the ''quadratic coefficient'', the ''linear coefficient'' and the ''constant'' or ''free term''. The values of that satisfy the equation are called ''solution (mathematics), solutions'' of the equation, and ''zero of a function, roots'' or ''zero of a function, zeros'' of the Expression (mathematics), expression on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex number, c ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Xu Guangqi
Xu Guangqi or Hsü Kuang-ch'i (April 24, 1562– November 8, 1633), also known by his baptismal name Paul, was a Chinese agronomist, astronomer, mathematician, politician, and writer during the Ming dynasty. Xu was a colleague and collaborator of the Italian Jesuits Matteo Ricci and Sabatino de Ursis and assisted their translation of several classic Western texts into Chinese, including part of Euclid's '' Elements''. He was also the author of the ''Nong Zheng Quan Shu'', a treatise on agriculture. He was one of the "Three Pillars of Chinese Catholicism"; the Roman Catholic Church considers him a Servant of God. On April 15, 2011, Vatican spokesman Federico Lombardi announced the beatification of Xu Guangqi. Name Xu Guangqi is the pinyin romanization of the Mandarin Chinese pronunciation of Xu's Chinese name. His name is written using the Wade–Giles system. His courtesy name was Zixian and his penname was Xuanhu. In the Jesuits' records, it is the last which is used as h ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Ming Dynasty
The Ming dynasty (), officially the Great Ming, was an Dynasties in Chinese history, imperial dynasty of China, ruling from 1368 to 1644 following the collapse of the Mongol Empire, Mongol-led Yuan dynasty. The Ming dynasty was the last orthodox dynasty of China ruled by the Han Chinese, Han people, the majority ethnic group in China. Although the primary capital of Beijing fell in 1644 to a rebellion led by Li Zicheng (who established the short-lived Shun dynasty), numerous rump state, rump regimes ruled by remnants of the House of Zhu, Ming imperial family—collectively called the Southern Ming—survived until 1662. The Ming dynasty's founder, the Hongwu Emperor (r. 1368–1398), attempted to create a society of self-sufficient rural communities ordered in a rigid, immobile system that would guarantee and support a permanent class of soldiers for his dynasty: the empire's standing army exceeded one million troops and the naval history of China, navy's dockyards in Nanjin ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Matteo Ricci
Matteo Ricci, SJ (; la, Mattheus Riccius; 6 October 1552 – 11 May 1610), was an Italians, Italian Society of Jesus, Jesuit Priesthood in the Catholic Church, priest and one of the founding figures of the Jesuit China missions. He created the , a 1602 map of the world written in Chinese characters. On the 17 December 2022 the Holy See, Apostolic See declared its recognition of Ricci’s ‘heroic virtues’, thereby bestowing upon him the honorific of Venerable. Ricci arrived at the History of Macau, Portuguese settlement of Macau in 1582 where he began his missionary work in China. He became the first European to enter the Forbidden City of Beijing in 1601 when invited by the Wanli Emperor, who sought his services in matters such as Chinese astronomy, court astronomy and Chinese calendar, calendrical science. He converted several prominent Chinese officials to Catholic Church, Catholicism. He also worked with several Chinese elites, such as Xu Guangqi, in translating '' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Gnomon
A gnomon (; ) is the part of a sundial that casts a shadow. The term is used for a variety of purposes in mathematics and other fields. History A painted stick dating from 2300 BC that was excavated at the astronomical site of Taosi is the oldest gnomon known in China. The gnomon was widely used in ancient China from the second century BC onward in order to determine the changes in seasons, orientation, and geographical latitude. The ancient Chinese used shadow measurements for creating calendars that are mentioned in several ancient texts. According to the collection of Zhou Chinese poetic anthologies ''Classic of Poetry'', one of the distant ancestors of King Wen of the Zhou dynasty used to measure gnomon shadow lengths to determine the orientation around the 14th century BC. The ancient Greek philosopher Anaximander (610–546 BC) is credited with introducing this Babylonian instrument to the Ancient Greeks. The ancient Greek mathematician and astronomer Oenopides used the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Euclid
Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus (mathematician), Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken f ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Parallelogram
In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations. By comparison, a quadrilateral with just one pair of parallel sides is a trapezoid in American English or a trapezium in British English. The three-dimensional counterpart of a parallelogram is a parallelepiped. The etymology (in Greek παραλληλ-όγραμμον, ''parallēl-ógrammon'', a shape "of parallel lines") reflects the definition. Special cases *Rectangle – A parallelogram with four angles of equal size (right angles). *Rhombus – A parallelogram with four sides of eq ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mathematics
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 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Liu Yi (mathematician)
Liu Yi may refer to: People * Liu Yi (footballer, born 1997), Chinese footballer * Liu Yi (footballer, born 1988) * Liu Yi (admiral) (刘毅; born 1955), deputy commander of the PLA Navy * Liu Yi, Marquess of Beixiang (劉懿; died 125 AD), briefly ruled as emperor of the Eastern Han * Liu Yi, Prince of Liang (劉揖; died 169 BC), Western Han prince of the Liang (realm), Liang realm * Liu Yi (CNTA) (刘毅), former Chairman of China National Tourism Administration * Liu Yi, Prince of Pingyuan, grandson of Emperor Zhang, and father of Emperor Huan of Han (132–168) * Liu Yi, military leader, associate of Emperor Wu of Liu Song (363–422) * Liu Yi (310–316), Prince of Hejian, son of Liu Cong (Han Zhao) * Liu Yi (b. 310) Prince of Pengchen, son of Liu Cong (Han Zhao) * Liu Yi (Eastern Han governor) (劉翊), Eastern Han governor of the Henan Commandery * Liu Yi (Eastern Han writer) (劉毅), Eastern Han Marquis of Pingwang (平望) * Liu Yi (Chen dynasty) (留異), Ch ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Li Chunfeng
Li Chunfeng (; 602–670) was a Chinese mathematician, astronomer, historian, and politician who was born in today's Baoji, Shaanxi, during the Sui and Tang dynasties. He was first appointed to the Imperial Astronomy Bureau to help institute a calendar reform. He eventually ascended to deputy of the Imperial Astronomy Bureau and designed the Linde calendar. His father was an educated state official and also a Taoist. Li died in Chang'an in 670. Background and career The Sui dynasty was integral for uniting China, so it was a good time for learning. But when Li was sixteen the Sui fell, and the Tang rose. Nevertheless, the Tang did not harm the conditions for education. Indeed, it rather strengthened it. The Imperial Academy's math teaching was formalized. He was appointed into the Imperial Astronomy Bureau as an advanced court astronomer and historian, in 627. Once several years had passed, he then was promoted to deputy director of the Imperial Astronomy Bureau in 641, and even d ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |