Not very long, however; I was soon able to get over this trifling obstacle.
The plan that first suggested itself was to cut a third piece of stick of a little over two feet in length, which I could easily guess at within a few inches. This I could apply alongside of my four-foot rule, beginning at the end, and proceeding as if I was measuring the latter with the former. Of course, on the first application, two lengths would reach from the end of the rule to the notch that marked the four feet length, and perhaps extend a little beyond. I should then shorten the measure and apply it again. This time its end would have approached nearer to the aforesaid notch. Another bit cut off would bring it still nearer; and the process being repeated, by shaving gradually from the end of the stick, I should at last find that two lengths of it would exactly correspond with the length of my four-foot rule. I should then have a piece exactly two feet in length, and by the help of this I could find the middle part of the longer piece, and could mark it with a “nick.”
By cutting the short piece into two nearly equal parts, I could then take the larger of them, and, by a similar process, obtain the standard of a foot, and mark it also upon my rule; and so on till I had succeeded in arriving at the inches.
Of course, to do all this would require time, patience, and the nicest precision; but I had plenty of time upon my hands, and it was my interest to be both patient and precise.
Although I regarded not the time, just as I was about to carry out the plan described, another suggested itself that promised to lead me sooner to the issue; it would call for less patience, though an equal amount of precision.
This new plan was a sort of corollary of the former one, the only difference being, that instead of a stick I should perform my subdivision and graduation with a string.
The thongs of my buskins came into my mind—the very thing!
I could not have found a better string for the purpose. They were strips of best calfskin, cut with the grain, and could not have been stretched the eighth part of an inch. They would, therefore, measure as accurately as a rule of boxwood or ivory.
One would not be long enough; so I knotted the two together, taking care to make a neat, firm knot of it. They made a string of over four feet, and having laid it along the four-foot rule, I cut it with my knife to that length exactly. I was not satisfied till I had measured it over and over again, each time pulling the thong with all my strength, lest some “kink” might be lurking in it. A slight error would derange my intended scale, though there is less danger in graduating four feet down to inches than in going from the less to the greater standard. In the former, each subdivision naturally lessens the error, while in the latter it is continually doubled.
When convinced that I had got the thong to the precise length, I placed its two ends together, and then drawing it with a firm pull through my fingers, I creased it exactly in the middle. Holding it taut upon the blade of my knife, I cut through at the crease, and thus divided it into two moieties of equal length, each two feet long. The part with the knot I laid aside as being no longer needed, and the remaining half I again doubled, and cut into two. This gave me two pieces each a foot in length.