Vitruvius and Archimedes

In De Architectura, Vitruvius names Archimedes among the authors known to him for their treatises on mechanics. He also gives a long and detailed account of the method Archimedes devised to expose the famous fraud of the crown, perpetrated by a craftsman against King Hiero II of Syracuse when the quantity of gold provided by the sovereign to manufacture a crown was replaced with metal of a lesser value. Having entered his bath still engrossed in the difficult dilemma, Archimedes noticed that, as his body was immersed in the water, it caused some of the liquid to overflow. "Eureka!" (I have found it!), here is the solution: Archimedes took a quantity of gold and one of silver each weighing the same as the crown. He immersed them, in turns, in a vessel filled to the brim with water and measured the amount of liquid required to refill the container each time. After assessing the different volumes of water shifted by the three bodies immersed in the vessel, Archimedes realised that the dishonest craftsman did not use all the gold received but also some alloy. The method attributed by Vitruvius to Archimedes has been the focus of lively scholarly debate ever since.

Bath

Bath

3rd century BC

Ionic capital

Ionic capital

Late 1st century BC-early 1st century AD

Ionic capital

Ionic capital

Second half of the 4th-first half of the 5th century AD

In-depth

Steelyards and Balances

Weighing instruments had become popular long before the principles behind their functioning were explained. Unlike the balance, the beam of the steelyard is asymmetric and a small weight is left free to slide along the longest part, balancing the object placed in the single pan. Vitruvius (De Architectura, X, 3, 4-5) perfectly described the functioning of the steelyard which is based on the principle of the lever. Pseudo Aristotle, Euclid and Archimedes had all addressed this subject previously. Archimedes is traditionally believed to have also written the lost treatises On Balances and On Levers on the subject.

.