The document discusses Pascal's Triangle, its construction, and its mathematical properties, including patterns and connections to Fibonacci numbers. It provides a brief biography of Blaise Pascal, highlighting his early interest in geometry, the invention of a mechanical calculator, and the significance of his triangle in mathematics. The document concludes with Pascal's death at age 39 due to illness.

1. PascalPascal
TraingleTraingle
Presented by
MD: Mizanur Rahman
matrix science club
Khulna Bangladesh
cell:+8801521239119
Email:mrengr2k13@gmail.com

2. Wonder of mathematicsWonder of mathematics

3. Construction of Pascal triangleConstruction of Pascal triangle

4. Wow everyone understand!!!!Wow everyone understand!!!!

5. Amazing things of Pascal triangleAmazing things of Pascal triangle
Patterns within the trianglePatterns within the triangle

6. SymmetricalSymmetrical

7. Horizontal sumsHorizontal sums
2^0
2^1
2^2
2^3
2^4
2^5
2^6
2^7
.
.
.

8. Exponents of 11Exponents of 11

9. SquaresSquares

10. Fibonacci sequence (series)Fibonacci sequence (series)

12. Odds and evenOdds and even
sierpinski trianglesierpinski triangle

15. FlowerFlower

16. WowWow

17. BlaséBlasé
PascalPascal
1623-1662
French scientist,
philosopher, and
mathematician

18. Pascal’sPascal’s
ChildhoodChildhood
He was born on June 19, 1623.He was born on June 19, 1623.
Pascal was interested in GeometryPascal was interested in Geometry
from the start.from the start.
By the age of 12 heBy the age of 12 he had masteredhad mastered
Euclid’s elements .Euclid’s elements .

19. Pascal’sPascal’s
CalculatorCalculator
In 1642, Pascal developed aIn 1642, Pascal developed a
mechanical calculator.mechanical calculator.
He made this to speed upHe made this to speed up
arithmetic for his father.arithmetic for his father.
Numbers are dialed in on metalNumbers are dialed in on metal
wheels and the solutions appear inwheels and the solutions appear in
little windows on the top.little windows on the top.

20. Pascal’s TrianglePascal’s Triangle
Pascal's triangle is a array ofPascal's triangle is a array of
numbersnumbers
This triangle has many differentThis triangle has many different
number patternsnumber patterns
It determines probability andIt determines probability and
solves problems involvingsolves problems involving

21. Pascal's DeathPascal's Death
August 19,1662August 19,1662
He died at 39 yearsHe died at 39 years
Malignant growth in his stomachMalignant growth in his stomach
spread to his brain .spread to his brain .

22. THAST ENDTHAST END
THANK YOUTHANK YOU
ALLALL