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Evangelista Torricelli
4
Transcript
Timeline
-Oct. 15, 1608: Born
-1624: Entered Jesuit College
-1624: Father dies
-1626: Studies with Benedetto Castelli
-1632: Began corresponding with Galileo
-Pre 1641: "Trattato del moto"
-1641: Discovered Torricelli's Trumpet
-1643: Invented the barometer
-1644: "Opera geometrica"
-Oct. 25, 1647: Died from typhoid fever
Mathematical Achievements
Mathematical Principles
Trumpet (and the Relation to Calculus)
- described the nature of infinity
- helped lead to integral calculus
- revolving y = 1/x about the x-axis from x = 1 to x = infinity has finite volume
Biography
- Torricelli's Trumpet (Gabriel's Horn)
- Infinite SA but finite volume
- Gave proof of the formula for the sum of a geometric series
- center of gravity of cycloid
- http://en.wikipedia.org/wiki/Cycloid
Family Life and Schooling
Trumpet:
Personality and Culture
http://www.uh.edu/engines/2856-trumpet550px.png
How did Torricelli Depend on Other Works?
- Born Ocotber 15th 1608 in Faenza, Italy
- Parents Gaspere and Caterina
- Dad a textile worker/ very poor
- 2 younger brothers
- Sent to live with Uncle Jacobo, a Camaldolese monk; gave him education.
- Jesuit College to study mathematics and philosophy
- Sapienza University of Rome to study science under the Benedictine monk Benedetto Castelli.
- did proof after to proof to show that surface area was finite w/o calculus
- failed, and lead to his discovery of the trumpet where volume was finite, while SA was not.
- Very Intelligent
- Curious
- Meticulous
- Thorough
- Honesty, Manliness,& Modesty
- Italian
- Rennasance, reform
- Roman Empire
- Cavalieri’s method of indivisibles (for trumpet)
- Studied Galileo's theories
Time to Validate Discovery
Other Hobbies/Talents
- Astronomy
- Philosophy
- Physics
Motives:
Had a lot of talent and an interest in pursuing these topics.
Also, Italian Rennasiance
Successes:
Many inventions such as telescopes/microscopes
Failures: Tried proving that surface area was finite, but couldn't.
- A lot of controversy erupted following his discoveries.
- Not completely accepted until calculus developed by Newton
- Invented Barometer
- Torricelli's Law: the speed of a fluid flowing out of an opening
- Torr: Unit of Pressure
- Cause of Wind
- Father of Hydrodynamics
- Helped end debate over the existence of the vaccum
- Center of gravity of figures
THE END!!
Evangelista Torricelli
By: Prakriti Luthra and Christina Zhang
Evangelista Torricelli
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