Metagrobologist David Singmaster made a nice presentation about an old subject: Vanishing Puzzles.
Here's a simple one where we move a piece of the puzzle and the original egg disappears:
David Singmaster brought lots of puzzles and old book references.
Here is a part of a page from Sebastiano Serlio - The First Booke of Architecture from 1611 (!) where it says that we can cut a table in a way to increase its area:
Another old reference is Davis Hooper's Rational Recreations, volume 4, from 1782:
Geogebra application of Loyd's Get off the Earth