I had a moment of unnerving clarity last night whilst brushing my teeth.
One length is a Lap. Both in accepted swimming terms and, more importantly, grammatically.
As discussed the word Lap comes from the Old English 'Lappen' meaning a piece of cloth that returns on itself (a LAPel for example, or the front of a skirt or robe as it wraps round on top of itself ... which is why your physical lap is called a lap).
The swim term is somewhat confused by the track term. A track lap is completed when you get back to the start. So it it effectively a circuit. But that is not what lap means grammatically.
Grammatically a lap, based on Lappen, is when you double back on yourself or start to retrace / repeat your route. At a track this happens to be a full curcuit but lap denotes the point at which you would start to overLAP your route. At a swimming pool you would start to overLAP your travel at one end of the pool.
So, a lap is not a full circuit, although it can be. It is the point at which you overlap yourself. And in a pool this would indicate a single length because you start to overlap yourself when you start to return on the second length.
The fact that some people call a return to start, two lengths, is likely grammatically (and indeed historically in swim terminology) incorrect. Although if something has been incorrect for long enough it starts to become colloquially correct as the meaning is effectively changing.
There, I feel much better now.
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