Great ideas and resources for teaching engaging mathematics lessons |
Torricelli's Trumpet |
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Description/Aim | |||
This activity explores a famous paradox -Torricelli's trumpet or Gabriel's horn. It is taken from rotating the graph of , about the x axis. It is sometimes called the painter's paradox and hopefully you will see why. Evangelista Torricelli lived in a time before calculus but considered this using the method of indivisibles . You should be familiar with integration and be able to find volumes by rotating areas about the x axes. |
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Teachers Notes - Why? How? What? | |||
Why we like this activity.... How this activity can be used.... What to expect when using this activity, from our experience... Extra notes
Author/Date Richard Wade 04.10.09 Credits Evangelista Torricelli |
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mathematics 16-18 calculus integration volume revolution paradox |
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www.thinkmathematics.com |