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Chain

Image by Joost J. Bakker IJmuiden
A chain is a series of connected links which are typically made of metal. A chain may consist of two or more links.
Chains are usually made in one of two styles, according to their intended use:
Those designed for lifting, such as when used with a hoist; for pulling; or for securing, such as with a bicycle lock, have links that are torus shaped, which makes the chain flexible in two dimensions (The fixed third dimension being a chain's length.)
Those designed for transferring power in machines have links designed to mesh with the teeth of the sprockets of the machine, and are flexible in only one dimension. They are known as Roller chains, though there are also non-roller chains such as block chain.
Uses for chain
Specific uses for chain include:
Bicycle chain, chain that transfers power from the pedals to the drive-wheel of a bicycle thus propelling it
Chain drive, the main feature that differentiated the safety bicycle
Chain gun, type of machine gun that utilizes a chain, driven by an external power source, to actuate the mechanism rather than using recoil
Chain pumps, type of water pump where an endless chain has positioned on it circular discs
Chain-linked Lewis, lifting device made from two curved steel legs
Chainsaw, portable mechanical, motorized saw using a cutting chain to saw wood.
Chain steam shipping
Curb chain, used on curb bits when riding a horse
Door chain, a type of security chain on a door that makes it possible to open a door from the inside while still making it difficult for someone outside to force his or her way inside
Keychain, a small chain that connects a small item to a keyring
Lead shank (or "Stud chain"), used on difficult horses that are misbehaving
Lavatory chain, the chain attached to the cistern of an old-fashioned W.C. in which the flushing power is obtained by a gravity feed from above-head height. Although cisterns no longer work like that, the phrase "pull the chain" is still encountered to mean "flush the lavatory".
O-ring chain, a specialized type of roller chain
Roller chain, the type of chain most commonly used for transmission of mechanical power on bicycles, motorcycles, and in industrial and agricultural machinery
Snow chains, used to improve traction in snow
Timing chain, used to transfer rotational position from the crankshaft to the valve and ignition system on an internal combustion engine, typically with a 2:1 speed reduction.
Ball and chain, phrase that can refer to either the actual restraint device that was used to slow down prisoners, or a derogatory description of a person's significant other
Bicycle lock (or "Bicycle Chain"), lockable chain
Security chain, specifically designed chain with square edges to prevent cutting with bolt-cutters.
High-tensile chain (or "Transport chain"), chain with a high tensile strength used for towing or securing loads.
Leg iron chains (Fetters), an alternative to handcuffs
Chain link fencing, type of fencing that utilizes vertical wires that are bent in a zig zag fashion and linked to each other
Chain of office, collar or heavy gold chain worn as insignia of office or a mark of fealty in medieval Europe and the United Kingdom
Chain weapon, a medieval weapon made of one or more weights attached to a handle with a chain
Omega chain, a pseudo-chain where the 'links' are mounted on a backing rather than being interlinked
Pull switch, an electrical switch operated by a chain
Flat chain, form of chain used chiefly in agricultural machinery
Part of The Hudson River Chain at West PointSupported by log floats, large chains have been used to exclude warships from harbors and rivers e.g., the Hudson River Chain
Decorating clothing, some people wear wallets with chains connected to their belts, or pants decorated with chains
Jewelry, many necklaces and bracelets are made out of small chains of gold and silver
Jack chain, a toothed chain used to move logs
Ladder chain, a light wire chain used with sprockets for low torque power transmission
Anchor cable, as used by ships and boats, in British nautical usage it is a cable, not a chain
Chains can also be used as a percussion instrument for special effects, such as in Schönberg's Gurre-Lieder and Janá?ek's From the House of the Dead
Chain-shot, a type of ammunition for a cannon, used to inflict damage to the rigging of a sail vessel in naval warfare
Chain mail, a type of armor consisting of small metal rings linked together in a pattern to form a mesh.
Invention
According to the Complete Guide to Chain the metal link chain was invented in 225 BC.