{"character_count": 1293, "word_count": 239, "ccnet_language_score": [0.934499979019165], "ccnet_perplexity": [816.2000122070312], "fasttext_language": ["en"]}
Mr. Murray demonstrates the correctness of his rule thus:

 In cubit of solid foot there arc l72S cubic inches. Suppose the solid contents of a bulk of ear corn to be 792 cubic feet, as in the above example, it is plain, if we multiply this sum by 1,729, we reduce 1t to cubic inches divide this product by 2,l50, (reject- ing the two-ffths as unjmportant,) and we evidently have the number of bushels of cal corn ill the bulk, ]. C. about 336l bushels, ol

 iJS1Trs slaa e ahsained by the operation of the rule. But conceive l128 and 2150 to constitute together vul- gar fraction thus, 172S, 2l50 in order to arrive at the true number of bushels, we have mu- tiplied by the numerator l72S and divided by the nominator 2l50. Now the vulgar frac- ton, S-l0 is a very near approximation to the fraction, 1728-li59, therefore, to multi ply by and divide by 10 would produce very nearly the same result; this we have in effect done by multiplying by the decimal, S. The decimal is used when the object is to find the quantity in shclled corn, because that decimal is the half of the decimal s, and il requires two bushels of ear corn to make one of shelIed corn. In using those rules, hall bushel should be added for every hundred that amount of error resulting from substitu- ton of the decimals.