Hew a mortar three feet (_tripodīn_) in diameter, and a
pestle three cubits (_tripichtēn_), and an axletree seven
feet (_heptapodīn_) ... and hew a wheel of three spans
(_trispithamon_) for the plough-carriage of ten palms
(_dekadōro_) length.
Besides the original division of the foot into 16 finger-breadths or
digits, there arose an alternative division into 12 thumb-breadths or
inches. So for the Roman foot, of shorter standard than the Egyptian or
Olympic foot from which it was derived—
Pes habet palmos iv, uncias xij, digitos xvi,
Palmus habet digitos iv, uncias iij.
It may be said that with the foot originated the sexdecimal system, as
with the span the duodecimal system. But the foot had as many inches,
twelve, as the span had of digits; and this division was the same in
other feet or spans not differing much from the Olympic standard.
The popularity of the foot, its general adoption for the common purposes
of life, are due to its being divided into either 12 inches or 16
digits, the familiar thumb-breadths and finger-breadths. Every popular
system meeting the convenience and the ways of thought of men and women,
must have its measures of length approximately coinciding with the
familiar units of limb-lengths, and it must be divided sexdecimally or
duodecimally to enable people, men, women and children, to calculate
mentally in the everyday business of life.
The octonary or semi-sexdecimal mode of division seen in our
Pint-Gallon-Bushel series is also very convenient, especially for
measures of capacity and for land-measures, admitting extensive halving
and quartering with subordinate units at each division. Duodecimal
division having the convenience of thirding is convenient for the
coinage series. A combination of the score and dozen series, as in our
money-pound of 20 × 12 pence, combines the advantages of extensive
halving and thirding.
But never has man taken to a decimal series of weights and measures; he
may use them on compulsion, and then will evade them whenever he can. He
has ten fingers, whence decimal numeration from the earliest times; but
he has always rejected decimal measures.[1]
Footnote 1:
Even in numeration he often prefers to count by the score. The
Welshman says _dega-dugain_ (10 and 2-score), the Breton _quarante et
dix_, other Frenchmen _quatre-vingt-dix_ (4 score and 10)
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