Italy · 1608-1647
Evangelista Torricelli
Evangelista Torricelli was mathematician and physicist. He worked on geometry, motion, fluids, and the barometer, using indivisibles to analyze areas and volumes.
Biographical and historical reference works document Evangelista Torricelli’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Evangelista Torricelli was mathematician and physicist associated with Italy. He worked on geometry, motion, fluids, and the barometer, using indivisibles to analyze areas and volumes.
Torricelli’s trumpet has finite volume but infinite surface area, a striking result in geometry. Together, these contributions connect geometry and measurement and calculus and change to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He worked on geometry, motion, fluids, and the barometer, using indivisibles to analyze areas and volumes.
Method, teaching, or application
Torricelli’s trumpet has finite volume but infinite surface area, a striking result in geometry.
Why this matters
The larger lesson
Evangelista Torricelli shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that geometry and measurement and calculus and change can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- 1608
Life and working period
Evangelista Torricelli worked as mathematician and physicist in Italy.
- Legacy
Lasting mathematical connection
Torricelli’s trumpet has finite volume but infinite surface area, a striking result in geometry.
Key idea
Geometry turns dimensions into consequences
Evangelista Torricelli’s work demonstrates that lengths and angles can determine area, shape, position, or motion.
A rectangle 18 units by 9 units has area 162 square units and perimeter 54 units.
Try it yourself
Measure a rectangle
A rectangle is 18 units long and 9 units wide. Find its area and perimeter.
- Multiply length by width for area.
- Add length and width, then double for perimeter.
- Attach the correct units.
Show the answer
The area is 162 square units, and the perimeter is 54 units.
Math at work
Engineers and architects use the same habits
Engineers and architects use geometry and measurement to plan, compare, test, or communicate decisions. Evangelista Torricelli’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
Torricelli’s trumpet has finite volume but infinite surface area, a striking result in geometry.
Evangelista Torricelli matters because of only one famous formula or anecdote.
The documented record is broader: He worked on geometry, motion, fluids, and the barometer, using indivisibles to analyze areas and volumes.
Keep exploring