# Cavalieri's Theorem

acron shared this question 11 years ago

f(x, y) = x² / r² + y² / h² - 1

There is an interesting page in the Mathematics Teacher, Vol. 105, No 9, May 2012, P 645 about Calalieri's theorem.

I thought it would be interesting to investigate in GG5, but I do not know how to get it to show anything.

Tony

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Will the ability be added by the time GG5 is nearing release? That sure would be a nice feature.

BTW, I was even hoping to see the 2D version of the graph prior to rotation of the graph...possibly in GG4.2

Tony

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Hi Tony

I d'ont know what is Calalieri's Theorem.

Is it the same activity like Cavalieri's Theorem in French??

Daniel

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Hi Tony

:D :D :D

Otherwise in Geogebra 3.2 your function f(x,y) is possible

Daniel

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I was unable to view your Cavalieri's Space applet in FF. Yet I was able to capture and translate it using GG4.2, but it should work with GG4.0. (Translated French to English below.)

My equation would be for a conic and I originally tried it in GG4.2 before GG5. I was under the impression 4.2 should be able to use f(x,y) and get the conic.

Tony

https://ggbm.at/554747

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Hi,

Do you mean you want to enter a quadric by its equation (as it's possible for a conic in 2D) ?

Cheers,

Mathieu

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Yes, this would be very beneficial. Eventually, it would be nice to be able to rotate the 2D about an axis.

Thanks :D

Tony

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