Proposition 1, Book X, Euclid's Elements
Proposition 1, Book X, Euclid's Elements
Let be a positive volume. A triangular pyramid of volume is divided into two similar triangular pyramids and two prisms of equal volume. Each of the two smaller pyramids is divided in the same way, producing four pyramids and four prisms. Eventually at step , the volume of the small pyramids will be smaller than .
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