Archimedes' screw pipe does not need to be perfectly watertight, as long as the amount of water being scooped with each turn is large compared to the amount of water leaking out of each section of the screw per turn. If water from one section leaks into the next lower one, it will be transferred upwards by the next segment of the screw. In some designs, the screw is fused to the casing and they both rotate together, instead of the screw turning within a stationary casing. The screw could be sealed to the casing with pitch resin or other adhesive, or
Archimedes Palimpsest of the Walters Art Museum exhibit "Lost and Found: The Secrets of Archimedes". In 2015, in an experiment into the preservation of digital data, Swiss scientists encoded text from the Archimedes Palimpsest into DNA. Thanks to its deciphering, some mathematicians suggest, it is possible that Archimedes may have invented integration. It contains: The most remarkable of the above works is "The Method", of which the palimpsest contains the only known copy. In his other works, Archimedes often proves the equality of two areas or volumes with Eudoxus' method of exhaustion, an ancient Greek counterpart of the modern method of limits.