There are generally two methods used to tie a figure of eight knot. The first method is used when a piece of equipment is clipped into the loop, the second when the knot is used to tie into something, for example, a climbing harness.
The above re-threaded method is usually used to tie into a harness, and is just a case of making a figure-of-eight on the single rope, looping through the harness, and following the knot back through itself.
The bowline is easy to adjust and untie. Beware, though, that if tied incorrectly in can be unsafe. You should really tie a stopper knot in the loop with the loose end to prevent it from pulling through.
The clove hitch is easily adjusted when place, but is not a particularly strong knot. If one side of the knot is to be loaded, place the diagonal underneath. If both sides are to be loaded, place the diagonal at the top. Tighten before loading, as it may run if loaded when loose.
This knot can bear one's weight on one strand of the rope and can be untied by just pulling on the other strand. End 'B' is the load-bearing end. NOT RECOMMENDED for climbing, but excellent for robbing stagecoaches, when you want to get away quick with your rope.
Probably the simplest knot for joining two ends of rope. Consists of two overhand knots.
Double Fisherman's Knot
Better than the Fisherman's Knot, this uses two double overhand knots. Good knot, as it can be difficult to untie. Check regularly for the loose ends getting shorter, and if so, re-tie. Tighten with body weight.
Quick knot, but weak. Best avoided.
Probably the simplest knot in existence. Usually used as a stopper knot, but a double overhand is preferable.
Double Overhand Knot
Better as a stopper knot than the Overhand, as it is less likely to pull through.
This is the simplest way to create a closed loop in the middle of a rope. Difficult to untie after loading.
Occasionaly used to join the ends of ropes, may be adjusted easily, but can also come undone easily.
Usually used for joing the ends of tapes or slings. Can work loose sometimes, so check regularly, and re-tie if the ends are getting shorter. Tighten with body weight before use.
The Hedden Knot, also known as Kreutzklem
The French Prusik