Amaizing Pascal traingle

Pascal Pascal TraingleTraingle

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Wonder of mathematics Wonder of mathematics

Construction of Pascal triangle Construction of Pascal triangle

Wow everyone understand!!!!Wow everyone understand!!!!

Amazing things of Pascal triangleAmazing things of Pascal triangle Patterns within the triangle Patterns within the triangle

Symmetrical Symmetrical

Horizontal sums Horizontal sums 2^02^12^22^32^42^52^62^7...

Exponents of 11Exponents of 11

Squares Squares

Fibonacci sequence (series)Fibonacci sequence (series)

Odds and even Odds and even sierpinski trianglesierpinski triangle

Flower Flower

Wow Wow

Blasé Blasé PascalPascal

1623-1662French scientist, philosopher, and mathematician

Pascal’s Pascal’s ChildhoodChildhood

He was born on June 19, 1623.He was born on June 19, 1623.

Pascal was interested in Geometry Pascal was interested in Geometry

from the start.from the start.

By the age of 12 heBy the age of 12 he had mastered had mastered

Euclid’s elements .Euclid’s elements .

Pascal’s Pascal’s CalculatorCalculator

In 1642, Pascal developed a In 1642, Pascal developed a mechanical calculator.mechanical calculator.

He made this to speed up He made this to speed up arithmetic for his father.arithmetic for his father.

Numbers are dialed in on metal Numbers are dialed in on metal wheels and the solutions wheels and the solutions appear in little windows on the appear in little windows on the top.top.

Pascal’s Pascal’s TriangleTriangle

Pascal's triangle is a array of numbers Pascal's triangle is a array of numbers This triangle has many different This triangle has many different

number patterns number patterns It determines probability and solves It determines probability and solves

problems involving combinationsproblems involving combinations Used in many math sectionsUsed in many math sections

Pascal's DeathPascal's Death August 19,1662August 19,1662

He died at 39 years He died at 39 years

Malignant growth in his Malignant growth in his

stomach spread to his brain .stomach spread to his brain .

THAST END THAST END

THANK YOU ALL THANK YOU ALL