What Did Archimedes Invent Using His Knowledge Of Math And Science? A Compound Pulley A New Type Of Metal A Machine For Building Ships A Method For Observing The Stars. In mechanics he defined the principle of the lever and is credited with inventing the compound pulley and the hydraulic screw for raising water from a lower to higher level. Archimedes developed a method for dividing a solid.

In mechanics he defined the principle of the lever and is credited with inventing the compound pulley and the hydraulic screw for raising water from a lower to higher level. Archimedes made significant contributions to mathematics, including: Archimedes developed a method for dividing a solid.