He was the author of numerous inventions, including the cagniardelle, a blowing machine, which consists essentially of an **Archimedean** screw set obliquely in a tank of water in such a way that its lower end is completely and its upper end partially immersed, and operated by being rotated in the opposite direction to that required for raising water.

(2) A right cylinder having for its base an **Archimedean** spiral is intersected by a right circular cone which has the generating line of the cylinder passing through the initial point of the spiral for its axis.

The blanks are charged into a hopper at one end of the furnace and conveyed towards the other end by a revolving **Archimedean** screw.

The mensuration of the cube, and its relations to other geometrical solids are treated in the article Polyhedron; in the same article are treated the **Archimedean** solids, the truncated and snubcube; reference should be made to the article Crystallography for its significance as a crystal form.

Another group of polyhedra are termed the " **Archimedean** solids," named after Archimedes, who, according to Pappus, invented them.

The following table gives these constants for the regular polyhedra; n denotes the number of sides to a face, n 1 the number of faces to a vertex: - **Archimedean** Solids.

Although this term is frequently given to the **Archimedean** solids, yet it is a convenient denotation for solids which have all their angles, faces, and edges equal, the faces not being regular polygons.

We may also note that of the **Archimedean** solids: the truncated tetrahedron, truncated cube, and truncated dodecahedron, are the reciprocals of the crystal forms triakistetrahedron, triakisoctahedron and triakisicosahedron.