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Cordially,
Eric Walker, Owlcroft House
http://owlcroft.com/english/
Mark Brader:
>>> Both of these are correct and equivalent.
Glenn Knickerbocker:
>> Syntactically, they're not equivalent at all. One's a noun and one's an
>> adjective.
I was not talking about the grammar.
>> You couldn't say, "A township is six miles circle."
Eric Walker:
> The corresponding construction would be "six miles circular"; "square" is
> not only a noun. While such parallel constructions do not idiomatically
> exist, that does not in itself make "six miles square" incorrect (just
> open to misinterpretation, as I previously noted).
"Square" is an interesting case because we mostly measure area in square
units, but we may want to define a square by its side length. Therefore
we have the two expressions "X miles square" and "X square miles", quite
different in meaning, but both very useful, which is why they'll certainly
stay around even if a few people get them confused occasionally.
Incidentally, those "few people" include one or more members of the OED
staff. In the OED1 "square", adj., sense 1b, reads:
# square inch, foot, yard, etc., a rectangular space measuring an inch,
# foot, etc., either way. square mile: also spec. a familiar term for
# the (heart of the) City of London.
Obviously, that definition really applies to an "inch square", "foot
square", etc., which is sense 5. (Yes, I've told them about the error.)
Whereas the only common way to measure the dimensions of a square is
to give the side length, for circles there are more choices. It is
in fact possible to express area in "circular" units. This is mostly
done with small units, I believe, so I'll use as my example "circular
inch", which means the area of a circle whose diameter is 1 inch.
However, something like "a 2-inch circle" would be unclear. I'd take
2 inches to be the diameter, but some others might take it to be the
radius, and even the circumference is not out of the question. This
notably arose when a colonial land grant of 1682 specified that it
included land "lying within the Compass or Circle of Twelve Miles"
about a certain point. The interpretation finally settled on was that
this meant the radius was 12 miles, but that was disputed at least as
late as 1732. And the significance of this circle is that part of it
today it forms the northern boundary of the US state of Delaware.

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Mark Brader | "/dev/null institutionalizes a regrettable loss of bits
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My text in this article is in the public domain.