De Olifant, Burdaard Each revolution of the screw lifts of water. The drive to the Archimedes' screw that pumps water into the polder is from a 38-cog gear wheel meshing with the "great spur wheel". This drives a 25 stave gear wheel which drives a "wallower" (30 cogs). The "wallower" drives a gear wheel with 31 cogs. This drives a cast iron gear wheel with 48 teeth. This drives the Archimedes' screw via a cast iron gear wheel with 60 cogs on the axle of the Archimedes' screw. This Archimedes' screw has an axle diameter of and is diameter overall. It is inclined
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