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Ali Ibn Ahmad Al-Nasawi
Alī ibn Aḥmad al-Nasawī (; c. 1011 possibly in Khurasan – c. 1075 in Baghdad) was a Persian mathematician from Khurasan, Iran. He flourished under the Buwayhid sultan Majd al-dowleh, who died in 1029-30AD, and under his successor. He wrote a book on arithmetic in Persian, and then Arabic, entitled the "Satisfying (or Convincing) on Hindu Calculation" (''al-muqni fi-l-hisab al Hindi''). He also wrote on Archimedes's ''Book of Lemmas'' and Menelaus's theorem (''Kitab al-ishba'', or "satiation"), where he made corrections to the ''Book of Lemmas'' as translated into Arabic by Thabit ibn Qurra and last revised by Nasir al-Din al-Tusi. Al-Nasawī's arithmetic explains the division of fractions and the extraction of square and cubic roots (square root of 57,342; cubic root of 3, 652, 296) almost in the modern manner. Al-Nasawī replaces sexagesimal by decimal fractions. Al-Nasawī criticises earlier authors, but in many cases incorrectly. His work was not original, and he some ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greater Khorasan
KhorasanDabeersiaghi, Commentary on Safarnâma-e Nâsir Khusraw, 6th Ed. Tehran, Zavvâr: 1375 (Solar Hijri Calendar) 235–236 (; , ) is a historical eastern region in the Iranian Plateau in West Asia, West and Central Asia that encompasses western and northern Afghanistan, northeastern Iran, the eastern halves of Turkmenistan and Uzbekistan, western Tajikistan, and portions of Kyrgyzstan and Kazakhstan. The extent of the region referred to as ''Khorasan'' varied over time. In its stricter historical sense, it comprised the present territories of Khorasan Province, northeastern Iran, parts of Afghanistan and southern parts of Central Asia, extending as far as the Amu Darya (Oxus) river. However, the name has often been used in a loose sense to include a wider region that included most of Transoxiana (encompassing Bukhara and Samarqand in present-day Uzbekistan), extended westward to the Caspian Sea, Caspian coast and to the Dasht-e Kavir southward to Sistan, and eastward to t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thabit Ibn Qurra
Thabit () is an Arabic name Arabic names have historically been based on a long naming system. Many people from Arabic-speaking and also non-Arab Muslim countries have not had given name, given, middle name, middle, and family names but rather a chain of names. This system ... for males that means "the imperturbable one". It is sometimes spelled Thabet. People with the patronymic * Ibn Thabit, Libyan hip-hop musician * Asim ibn Thabit, companion of Muhammad * Hassan ibn Sabit (died 674), poet and companion of Muhammad * Khuzaima ibn Thabit (died 657), companion of Muhammad * Sinan ibn Thabit (c. 880 – 943), physician and mathematician * Zayd ibn Thabit (c. 610 – 660), personal scribe of Muhammad * Abdullah Thabit (born 1973), Saudi Arabian poet, novelist and journalist People with the given name * Thabit ibn Qays, companion of Muhammad * Thabit ibn Qurra (c. 826 – 901), Baghdadi mathematician and astronomer See also * Thabit number * Tabit (town) (or Thabit), S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
11th-century Iranian Mathematicians
The 11th century is the period from 1001 (represented by the Roman numerals MI) through 1100 (MC) in accordance with the Julian calendar, and the 1st century of the 2nd millennium. In the history of Europe, this period is considered the early part of the High Middle Ages. There was, after a brief ascendancy, a sudden decline of Byzantine power and a rise of Norman domination over much of Europe, along with the prominent role in Europe of notably influential popes. Christendom experienced a formal schism in this century which had been developing over previous centuries between the Latin West and Byzantine East, causing a split in its two largest denominations to this day: Roman Catholicism and Eastern Orthodoxy. In Song dynasty China and the classical Islamic world, this century marked the high point for both classical Chinese civilization, science and technology, and classical Islamic science, philosophy, technology and literature. Rival political factions at the Song dynast ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1075 Deaths
Year 1075 (Roman numerals, MLXXV) was a common year starting on Thursday of the Julian calendar. Events By place Africa * The Kingdom of Mapungubwe is established, in modern-day South Africa. Byzantine Empire * The future Emperor Alexios Komnenos captures the Norman rebel Roussel de Bailleul in Amasya, Amaseia. Roussel had established a principality in eastern Anatolia in 1073 after rebelling against Emperor Michael VII Doukas, basing his power on his western mercenaries and local support in exchange for protection against invading Turkmen. Europe * June 9 – First Battle of Langensalza (1075), Battle of Langensalza: Emperor Henry IV, Holy Roman Emperor, Henry IV defeats the Saxon nobles on the Unstrut, River Unstrut near Bad Langensalza, Langensalza in Thuringia (modern Germany). He subjugates Saxony, and immediately tries to reassert his rights as the sovereign of northern Kingdom of Italy (Holy Roman Empire), Italy. * Anund Gårdske is deposed as king of Sve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1010s Births
1 (one, unit, unity) is a number, numeral, and glyph. It is the first and smallest positive integer of the infinite sequence of natural numbers. This fundamental property has led to its unique uses in other fields, ranging from science to sports, where it commonly denotes the first, leading, or top thing in a group. 1 is the unit of counting or measurement, a determiner for singular nouns, and a gender-neutral pronoun. Historically, the representation of 1 evolved from ancient Sumerian and Babylonian symbols to the modern Arabic numeral. In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a prime number. In digital technology, 1 represents the "on" state in binary code, the foundation of computing. Philosophically, 1 symbolizes the ultimate reality or source of existence in various traditions. In mathematics The number 1 is the first natural number after 0. Each natural number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid
Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' 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 innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and 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 scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Decimal Fractions
The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (''decimal fractions'') of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as ''decimal notation''. A decimal numeral (also often just ''decimal'' or, less correctly, ''decimal number''), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in or ). ''Decimal'' may also refer specifically to the digits after the decimal separator, such as in " is the approximation of to ''two decimals''". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value. The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form , wher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sexagesimal
Sexagesimal, also known as base 60, is a numeral system with 60 (number), sixty as its radix, base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form—for measuring time, angles, and geographic coordinate system, geographic coordinates. The number 60, a superior highly composite number, has twelve divisors, namely 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60, of which 2, 3, and 5 are prime numbers. With so many factors, many fractions involving sexagesimal numbers are simplified. For example, one hour can be divided evenly into sections of 30 minutes, 20 minutes, 15 minutes, 12 minutes, 10 minutes, 6 minutes, 5 minutes, 4 minutes, 3 minutes, 2 minutes, and 1 minute. 60 is the smallest number that is divisible by every number from 1 to 6; that is, it is the lowest common multiple of 1, 2, 3, 4, 5, and 6. ''In this article, all sexagesimal digits are represented as decimal numbers, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cube Root
In mathematics, a cube root of a number is a number that has the given number as its third power; that is y^3=x. The number of cube roots of a number depends on the number system that is considered. Every real number has exactly one real cube root that is denoted \sqrt /math> and called the ''real cube root'' of or simply ''the cube root'' of in contexts where complex numbers are not considered. For example, the real cube roots of and are respectively and . The real cube root of an integer or of a rational number is generally not a rational number, neither a constructible number. Every nonzero real or complex number has exactly three cube roots that are complex numbers. If the number is real, one of the cube roots is real and the two other are nonreal complex conjugate numbers. Otherwise, the three cube roots are all nonreal. For example, the real cube root of is and the other cube roots of are -1+i\sqrt 3 and -1-i\sqrt 3. The three cube roots of are 3i, \tfrac-\ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fractions
A fraction (from , "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A ''common'', ''vulgar'', or ''simple'' fraction (examples: and ) consists of an integer numerator, displayed above a line (or before a slash like ), and a non-zero integer denominator, displayed below (or after) that line. If these integers are positive, then the numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. For example, in the fraction , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates of a cake. Fractions can be used to represent ratios and division. Thus the fraction can be used to represent the ratio 3:4 (the ratio of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nasir Al-Din Al-Tusi
Muḥammad ibn Muḥammad ibn al-Ḥasan al-Ṭūsī (1201 – 1274), also known as Naṣīr al-Dīn al-Ṭūsī (; ) or simply as (al-)Tusi, was a Persians, Persian polymath, architect, Early Islamic philosophy, philosopher, Islamic medicine, physician, Islamic science, scientist, and kalam, theologian. Nasir al-Din al-Tusi was a well published author, writing on subjects of math, engineering, prose, and mysticism. Additionally, al-Tusi made several scientific advancements. In astronomy, al-Tusi created very accurate tables of planetary motion, an updated planetary model, and critiques of Ptolemaic astronomy. He also made strides in logic, mathematics but especially trigonometry, biology, and chemistry. Nasir al-Din al-Tusi left behind a great legacy as well. Tusi is widely regarded as one of the greatest scientists of medieval Islam, since he is often considered the creator of trigonometry as a mathematical discipline in its own right. The Muslim scholar Ibn Khaldun (1332–1406) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Menelaus's Theorem
In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle , and a transversal line that crosses at points respectively, with distinct from . A weak version of the theorem states that \left, \frac\ \times \left, \frac\ \times \left, \frac\ = 1, where ", , " denotes absolute value (i.e., all segment lengths are positive). The theorem can be strengthened to a statement about signed lengths of segments, which provides some additional information about the relative order of collinear points. Here, the length is taken to be positive or negative according to whether is to the left or right of in some fixed orientation of the line; for example, \tfrac is defined as having positive value when is between and and negative otherwise. The signed version of Menelaus's theorem states \frac \times \frac \times \frac = - 1. Equivalently, \overline \times \overline \times \overline = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
