SS Archimedes SS Archimedes SS "Archimedes" was a steamship built in Britain in 1839. She is notable for being the world's first steamship to be driven by a screw propeller. "Archimedes" had considerable influence on ship development, encouraging the adoption of screw propulsion by the Royal Navy, in addition to her influence on commercial vessels. She also had a direct influence on the design of another innovative vessel, Isambard Kingdom Brunel's , then the world's largest ship and the first screw-propelled steamship to cross the Atlantic Ocean. The principle of moving water with a screw has been known since the invention of
Archimedes' quadruplets theorem: Also: Combining these gives: Expanding, collecting to one side, and factoring: Solving for "x": Proving that each of the Archimedes' quadruplets' areas is equal to each of Archimedes' twin circles' areas. Archimedes' quadruplets In geometry, Archimedes' quadruplets are four congruent circles associated with an arbelos. Introduced by Frank Power in the summer of 1998, each have the same area as Archimedes' twin circles, making them Archimedean circles. An arbelos is formed from three collinear points "A", "B", and "C", by the three semicircles with diameters "AB", "AC", and "BC". Let the two smaller circles have radii "r" and "r",