Last Updated：2025/12/29
Sentence
[…]
I
choſe
rather
to
reduce
the
demonſtrations
of
the
following
propoſitions
to
the
firſt
and
laſt
ſums
and
ratio's
of
naſcent
and
evaneſcent
quantities,
that
is,
to
the
limits
of
thoſe
ſums
and
ratio's;
[…]
Perhaps
it
may
be
objected,
that
there
is
no
ultimate
proportion
of
evaneſcent
quantities;
becauſe
the
proportion,
before
the
quantities
have
vaniſhed,
is
not
the
ultimate,
and
when
they
are
vaniſhed,
is
none.
[…]
[B]y
the
ultimate
ratio
of
evaneſcent
quantities
is
to
be
underſtood
the
ratio
of
the
quantities,
not
before
they
vaniſh,
nor
afterwards,
but
with
which
they
vaniſh.
Quizzes for review
[…] I choſe rather to reduce the demonſtrations of the following propoſitions to the firſt and laſt ſums and ratio's of naſcent and evaneſcent quantities, that is, to the limits of thoſe ſums and ratio's; […] Perhaps it may be objected, that there is no ultimate proportion of evaneſcent quantities; becauſe the proportion, before the quantities have vaniſhed, is not the ultimate, and when they are vaniſhed, is none. […] [B]y the ultimate ratio of evaneſcent quantities is to be underſtood the ratio of the quantities, not before they vaniſh, nor afterwards, but with which they vaniſh.
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