This Doctor,
learned though he was, for "In all
this world to
him there
was none like To speak of physic and of surgery," and "He knew the
cause
of every malady," yet was he not indifferent to the more material side
of
life.
"Gold in physic is
a cordial; Therefore he
lovéd gold
in special."
The problem that
the Doctor propounded to the
assembled pilgrims was
this.
He produced two spherical phials, as shown in our illustration,
and
pointed out that one phial was exactly a foot in circumference, and the
other two feet in circumference.
"I do wish," said
the Doctor, addressing the
company, "to have
the exact
measures of two other phials, of a like shape but different in size,
that
may together contain just as much liquid as is contained by these
two."
To find exact
dimensions in the
smallest possible numbers is one of the
toughest nuts I have attempted. Of course the thickness of the glass,
and
the neck and base, are to be ignored.
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