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 Palimpsest a parabola and one of its secant lines. (For explicit details, see Archimedes' use of infinitesimals.) When rigorously proving theorems, Archimedes often used what are now called Riemann sums. In "On the Sphere and Cylinder," he gives upper and lower bounds for the surface area of a sphere by cutting the sphere into sections of equal width. He then bounds the area of each section by the area of an inscribed and circumscribed cone, which he proves have a larger and smaller area correspondingly. He adds the areas of the cones, which is a type of Riemann sum for the