Pascal’s Triangle is a special triangular arrangement of numbers used in many areas of mathematics. It is named after the famous 17 th century French mathematician Blaise Pascal because he developed so many of the triangle’s properties.
- 1 Where did Pascal triangle come from?
- 2 How did Pascal create Pascal’s triangle?
- 3 What did Pascal do with the triangle?
- 4 When did Pascal create Pascal’s triangle?
- 5 Who is Pascal’s triangle named for?
- 6 Why is the Pascal triangle important?
- 7 What is named after Blaise Pascal?
- 8 Why is Pascal’s Triangle symmetrical?
- 9 Who is the father of Triangle?
- 10 Is Pascal’s Triangle infinite?
- 11 Who invented algebra?
Where did Pascal triangle come from?
Pascal’s triangle was known in China in the early 11th century through the work of the Chinese mathematician Jia Xian (1010–1070). In the 13th century, Yang Hui (1238–1298) presented the triangle and hence it is still called Yang Hui’s triangle (杨辉三角; 楊輝三角) in China.
How did Pascal create Pascal’s triangle?
One of the most interesting Number Patterns is Pascal’s Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). To build the triangle, start with “1” at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.
What did Pascal do with the triangle?
He discovered that the sum of the angles of a triangle are two right angles and, when his father found out, he relented and allowed Blaise a copy of Euclid. At the age of 14 Blaise Pascal started to accompany his father to Mersenne’s meetings.
When did Pascal create Pascal’s triangle?
In 1653, a French mathematician-philosopher named Blaise Pascal described a triangular arrangement of numbers corresponding to the probabilities involved in flipping coins, or the number of ways to choose ‘n’ objects from a group of ‘m’ indistinguishable objects. Pascal’s triangle has many uses in binomial expansions.
Who is Pascal’s triangle named for?
Pascal’s triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. It is named for the 17th-century French mathematician Blaise Pascal, but it is far older.
Why is the Pascal triangle important?
What is this triangle useful for? Due to the way numbers are arranged, it is possible to find several properties among them. Those properties are useful in some mathematical calculations and they were used in ancient times to calculate the square or cubic roots, or more recently in the rule of probabilities.
What is named after Blaise Pascal?
Blaise Pascal was an influential mathematical writer, a master of the French language, and a great religious philosopher (a person who seeks wisdom). The computer programming language ” Pascal ” is named after him.
Why is Pascal’s Triangle symmetrical?
−1<k≤n – 1 < k ≤ n, this means that each T(n,k)=T(n,n−k) ( n, k ) = T ( n, n – k ). Since the first three rows are symmetrical, all the following rows are also symmetrical.
Who is the father of Triangle?
Many have speculated that the claims of the 5th-century BC Greek mathematician Pythagoras being the first to deduce facts about right-angled triangles just did not add up. Some believe later commentaries indicate it was the collaborative work of his followers, the Pythagoreans.
Is Pascal’s Triangle infinite?
Pascal’s triangle is a never-ending equilateral triangle of numbers that follow a rule of adding the two numbers above to get the number below. Two of the sides are “all 1’s” and because the triangle is infinite, there is no “bottom side.”
Who invented algebra?
Al-Khwarizmi: The Father of Algebra.