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near the poles are magnified so as to
be many times larger than the real surfaces of
the earth that they represent, while in
longitude the whole equator measures
only two or three feet; and you might continue
the chart so as to represent the earth over and
over again in as many such strips as you
pleased. Other kinds of map, such as my
Quincuncial Projection which is drawn in the 4th volume of
the American Journal of Mathematics, show
the whole earth over and over again in checkers,
and there is no arrangement you can think of in
which the different representations of the
same place might not appear on a
perfectly correct map. This accounts for our

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