Cavalieri Content Cups

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Source

G4G13

Title

Cavalieri Content Cups

Creator

Contributor

Glen Whitney

Subject

Art
Recreational Math

Description

Just as 13 breaks up nicely as the sum of 8 and 5, so too does the (volume of a) cylinder break up nicely as the sum of a cone and hemisphere, a fact we have seen demonstrated at previous Gatherings in vivid ways. But the one-diagram proof of this partition using Cavalieri's principle is remarkably flexible, as the non-standard Cavalieri Content Cups to be distributed will show. For more information, see v.gd/stinf.

Identifier

G13-048

Collection

Citation

“Cavalieri Content Cups,” G4G Gift Exchange Archive, accessed June 10, 2023, https://g4gexchangearchive.omeka.net/items/show/625.