Cavalieri's Theorem

acron shared this question 11 years ago
Answered

    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

Comments (8)

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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??

http://dmentrard.free.fr/GE...

Daniel

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Sorry about the misspelling :flushed:

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Hi Tony

:D :D :D

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

9a0e99119e13a2c6e0d3054f712e07b0

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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