Sonic –
Look carefully at IanP’s reply a few messages up from this.
I think he’d twigged it before I did, because your photo he cites is full-on to that area and shows that although the belt is too slack there, it does not look ever so “too long”.
With the tensioner that way round (the quadrant between the belt sides and pointing upwards, roller on the outside) the amount of slack in the belt looks small enough for what he suggests, and as I did later, bolting the motor back to the bed.
Noel –
I did enjoy that puzzle!
I tried various lines of enquiry:
Blundell-Harling, who make special-to-trade circular slide-rules, had never seen one like that.
On a hunch I wondered pipe-organ design, due to the curious fractions. Harrison & Harrison were intrigued by the photo and enquiry but said they did not recognise it as anything to do with musical instruments.
(Incidentally, I found that company’s web-site really fascinating, and the considerable use of manual craft skills it shows, very inspiring.)
I tried searching the Science Museum catalogue. Its vast web-site is difficult to navigate unless you really know what to ask, and at one point I blundered into 19C surgical instruments, one rather distressing when I twigged its likely use. So a blank there. If I recall rightly, I tried pharmaceuticals too, which used to have odd units of weight. Another blank.
I did see a photo of, I think, a duplicate elsewhere on-line but still without anyone having the foggiest what it was for.
Whatever it was, it makes trying to fit a toothed belt to a lathe, seem easy!