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Pascal’s triangle is a triangular arrangement of binomial coefficients. It’s is named after French mathematician Blaise Pascal (1623-1662), in the western world. Despite the fact that pascal’s triangle is named after Blaise pascal, other mathematicians from India, Persia (Iran), China, Germany, and Italy knew about and applied their knowledge of the triangle centuries before he was born. Halayudha a 10th century Indian mathematician and commentator gave the first clear description of Pascal’s triangle in his commentary in an ancient Indian book called Chandah Shastra. Not long after that, a Persian poet and mathematician by the name of Omar Khayyam (1048-1131) and a Chinese mathematician by the name of Yang Hui (1238–1298) had both discussed this mathematical triangle and so the triangle is referred to as Khayyam’s triangle in Iran and Yang Hui’s Triangle in China. In the Western world, Gersonides (1288-1344), a French Jewish philosopher, mathematician and physician calculated the binomial coefficients using a multiplicative formula in the 14th century. Petrus Apianus (1495–1552), a German humanist who was known for his*…show more content…*

The Fibonacci sequence is a set of numbers that starts with the numbers one and one or zero and one and progresses based on the rule that each Fibonacci number is equal to the sum of the previous two numbers. The Fibonacci sequence appeared in in Indian mathematics hundreds of years before Fibonacci developed the sequence. In India the clearest explanation and description of the sequence came from the works of Virahanka (c. 700 AD), a prosodist who was known for his work on mathematics. The sequence discussed by Gopala around the year 1135 AD and by Acharya Hemachandra (1089-1172), a poet and polymath, in the year 1150. The Fibonacci sequence first appeared in a book called Liber Abaci published by Fibonacci in

The Fibonacci sequence is a set of numbers that starts with the numbers one and one or zero and one and progresses based on the rule that each Fibonacci number is equal to the sum of the previous two numbers. The Fibonacci sequence appeared in in Indian mathematics hundreds of years before Fibonacci developed the sequence. In India the clearest explanation and description of the sequence came from the works of Virahanka (c. 700 AD), a prosodist who was known for his work on mathematics. The sequence discussed by Gopala around the year 1135 AD and by Acharya Hemachandra (1089-1172), a poet and polymath, in the year 1150. The Fibonacci sequence first appeared in a book called Liber Abaci published by Fibonacci in

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## Blaise Pascal Research Paper

1026 Words | 5 PagesPascals theorem demonstrates that if a hexagon is drawn in a circle then the three intersection points sit on a line called Pascals line. Blaise Pascal brought this essay to the Marsennes Academy in Paris . The essay was so advanced that initially critics believed that his father had written it and not Blaise Pascal himself. When Blaise Pascal was 19 in 1642 he invented a calculator with movable dials to help his father with his work on his taxes. It took him over three years to make this mechanical calculator and he made over fifty prototypes whilst trying to perfect his machine.This invention was called Pascals calculator or a Pascaline.

## How Did Kublai Khan Influence The Mongol Empire

99 Words | 1 PagesHe founded the Yuan dynasty in China in 1271, and ruled it until his death. Khubilai Khan established an administration that governed China, was supportive of agriculture, trade, and crafting, but patronizing of painting, theater, and other

## Reaction Paper About Fibonacci

838 Words | 4 PagesAlso don’t confuse Leonardo Fibonacci with Leonardo da Vinci. For the fact that Leonardo da Vinci was born in Vinci in 1452, 200 years after Fibonacci death. Fibonacci was famous for the Fibonacci Sequence. “The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so forth.” .

## Yun-Fei Ji Analysis

1685 Words | 7 PagesI admire Ji as he has never shied away from his culture and is continually coming to terms with his identity. Analysis of The Three Gorges Migration (see image on following page): In this image Ji depicts “floating weeds” a name he made for migrants that he adapted from an ancient Chinese phrase as well as displaying bamboo shoots, rocks, a child pulling on their mothers’ shirts, a woman sleeping on the ground, families surrounded by piles of their belongings as well beast standing on the left side of the print. To make this painting into a hand-printed scroll, Ji worked with Rongbaozhai, a traditional printing and publishing studio in Beijing. Using over 500 wooden blocks to make this printed image it is approximately 9, 8 m long and 1 m high when including the silk ends. Historical

## Kublai Khan's Impact On Modern Society

725 Words | 3 PagesThe personality under study is Kublai Khan. Kublai Khan, the fourth son of Tolui who was the youngest of Genghis’s four sons, reigning from 1260 to 1294, was the founder of the Yuan dynasty in Mongolia and China. This extended response format will talk about Kublai’s background information (e.g birth, death etc), his significant achievements, how he impacted Ancient China and Mongolia and how he has impacted modern society. This paragraph will state Kublai’s important background information. Kublai Khan, born Kublai and also known by the temple name Shizu, was the grandson of Genghis Khan.

## Informative Speech Topics: The Golden Ratio

731 Words | 3 PagesFibonacci retracements use horizontal lines to indicate areas of support or resistance. They are calculated by first locating the high and low of the chart. Then five lines are drawn: the first at 100%, the highest on the chart, the second at 61.8%, the third at 50%, the fourth at 38.2% and the last one at 0%. After a significant price movement up or down, the new support and resistance levels are often at or near these lines. Moreover, finding the high and low of a chart is the first step to composing Fibonacci arcs.

## Al Ghazali Contribution

1268 Words | 6 PagesAbu Hamid Ibn Muhammad Ibn Muhammad al-Tusi al-Shafi 'i Al-Ghazali was born in 1058 A.D. in Khorasan, Iran. His father died while he was still very young but he had the opportunity of getting education at Nishapur and Baghdad. Soon he acquired a high standard of scholarship in religion and philosophy and was honored by his appointment as a Professor at the Nizamiyah University of Baghdad, which was recognized as one of the most reputed institutions of learning in the golden era of Muslim history. After a few years, however, he gave up his academic pursuits and worldly interests and became a wandering ascetic. This was a process of mystical transformation.

## Master Yinshun: An Analysis

1855 Words | 8 PagesBorn Zhang Luqin in 1906 at Haining (Zhejiang province), Master Yinshun is one of twentieth-century Chinese Buddhism’s most influential figures. Yinshun’s primary contributions to Budhhism include the development of “Buddhism for the Human Realm,” or renjian fojiao, and his “critical and scholarly approach to the Dharma teachings and practice” (Travagnin 272). His emergence as a significant religious figure occurred toward the latter end of the early Republican period (1911-1942), when “the academic discipline of Buddhist studies as practiced in Europe and Japan…spawned a new breed of Buddhists in China” (Chu 2). Yinshun, among other Buddhists, including Ouyang Jian (1871-1943) and Lü Cheng (1896-1989), through applying “modern academic methods” to the study of Buddhism became “keenly aware of what they perceived to be meaningful and profound differences between Indian Buddhism and Chinese Buddhism, the latter being viewed with increasing suspicion and criticality” (Chu 2). Yinshun’s radical mission to restore Chinese Buddhism to its Indian roots was a reaction to the diminished reputation of Chinese Buddhism as well as the result of the forces of globalization and modernization.

## Essay On Fibonacci Sequence

712 Words | 3 PagesThus, everything in the universe has this sequence; 0,1,1,2,3,5,8,13,21,34,55,89,144,.... Fibonacci Sequence is the sacred ratio of time and unity. All growth in the universe is based on this sequence, where the last two

## Short Essay On Pythagoras

1001 Words | 5 PagesHe is best known for his Pythagorean theorem a2 +b2=c2 which calculates the length of any side on a right angled triangle. There was another side to his teachings, he taught his followers lots on character development. He created a cup that promoted equality and punished greed. It had a hollow cylinder in the middle of the cup which

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