“Outhaul,” e.g., “clew outhaul,” is used by itself, not with “line.” Adding “line” would be redundant.

To say a “very thick” line is considered a cable is imprecise and incomplete. A three-stranded plain-laid or so-called “hawser-laid” line that is more than 5 inches in circumference is called a hawser. Hawser-laid line that is thick enough to be called a hawser is often used as a hawser, i.e., a tow line, e.g., for a barge. Twisting three or four hawser-laid lines together forms “cable-laid” line. Cable-laid line is so called because it was used in large sailing vessels as anchor cable or rode before the use of chain predominated.

A cunningham is used to haul taut the luff of a sail set from a mast, not to strike the sail. It may also serve as a reefing line. Head downhauls are used to strike sails, especially heads’ls or stays’ls; while tack downhauls (called tacks for gaff tops’ls) are used to hold or haul down a boom at the mast or the tack of a stays’l, jib or flying jib, which also serves to help haul the luff taut.

Vangs are lines controlling a gaff, led from the peak of a gaff to the next mast abaft the gaff or to the deck from the peak of the aftermost gaff. Boom vangs are typically tackles, led from the middle or somewhat forward of the middle of a boom to the foot of a deck-stepped mast (or near the partners if stepped belowdecks) and are used to hold the boom down while allowing it to move inboard or outboard as the sail is trimmed. In doing so, they help to flatten the sail, especially the leach, and also prevent the boom from lifting in a gybe.

Dock or docking lines and mooring lines are used to moor or “tie up” a vessel. Mooring warps or just warps are used to warp or move a vessel manually and with capstans, in port, e.g., shifting berths, without using her sails, engines or tugs, rather than to tie up, but “docking cable” is not commonly used (if ever).