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But as troy weight is known and used in most, 
if not all, the European states, the length of our foot, 
may be determined by means of that weight and, 
pure water, as well as from the avoirdupois weight; 
for, since 480 grains troy make a troy ounce, and 
437.5 grains troy make an avoirdupois ounce, and 
the troy pound having only 12 ounces troy, and the 
avoirdupois pound 16 ounces avoirdupois, it fol¬ 
lows, that 144 pounds avoirdupois is equal to 175 
pounds troy ; and since a cubic foot of water con¬ 
tains 1000 ounces avoirdupois or 62.5 pounds a- 
voirdupois ; then, as 144 to 175, so is 62.5 to 
75.95486111, the pounds troy in a cubic foot, and 
then we may have the following analogy : 
As the weight of water in troy pounds, to fill any 
cubic vessel, is to 75.95486111 troy pounds, the 
weight of water in a cubic foot, so is the cube of 
the parts, in which the interior side of the vessel is 
divided, to the cube of the parts making a foot, the 
cube root of which will be the number of parts 
taken from the side of the vessel, which shall be 
equal in length to a foot. 
And a Frenchman may also compare the Ameri¬ 
can foot with the French foot by means of troy weight 
and pure water ; for, if he should find that a cube 
of a French foot, being filled with water, the wa¬ 
ter will w^eigh 92.181 pounds troy, and be informed 
that 75,95486111 pounds troy: of water are contain¬ 
ed in a cube of an American foot, he will have the 
following analogy : 
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