here have been two _Comets_, upon its being seen again
the 31. of _December_; since, according to him, it ought to have been so,
if it continue to move in a _Great Circle_.

Having hereupon shewed, how the motion is to be traced upon the _Globe_, he
finds, that, according to his Calculation, this _Comet_ was to pass the
_Tropick_ of _Capricorn_ about the 16 of _December_, and being entred into
the Sign of _Virgo_ on the 20. of the same month, and having been in
_Quadrat_ with the _Sun_, it should still descend, until the 26 of
_December_ in the morning, and then enter into _Leo_; that having entred,
the 28. of the same month, into _Cancer_, and been, a little after that
time, in its greatest Inclination to the _Ecliptick_, vid in the 28. degree
of _Leo_, it was to repass the _Southern Tropick_, over against the _little
Dogg_, on the 29. of _December_ about 9 or 10 of the clock in the morning,
after it had been opposite to the _Sun_ 2. or 3. hours before; and that on
the 29. of _December_ in the evening it should be in _Gemini_; and at the
very beginning of the New year, enter into _Taurus_.

After this, our Author finds, that this _Comet_, according to his account,
should pass the _AEquator_, on the 4. of _January_ before noon, and that
about 5. or 6. of the clock in the evening of that day it was to come into
the jaw of the _Whale_, and the 9. of the same, at 6. of the clock it
should come close to the small Star of the _Whale_, which is in its way, a
little below. At length he finds that it was to enter into _Aries_ on the
12. of _January_, and to cut the _Ecliptick_ on the 16. of the same month
about noon, at which time it was to be again in _Quadrat_ with the _Sun_,
whence drawing a little to above the _Northern Line_ of _Pisces_, it should
in his opinion cease to appear a little beyond that place, without going as
far as to the middle of _Aries_, if so be that its remoteness make it not
disappear sooner.

He continueth, and saith, that this _Comet_ shall not arrive to the place
over against the _Line_ of _Pisces_ till the 10 of _February_, & that then
its _Diurnal_ motion shall not exceed 8 minutes, and not 5 minutes about
the 20 of the same month: and that in the {6} beginning of _March_, if we
see it so long, the said motion shall not exceed 4 minutes, and so shall be
still diminishing; except the _Comet_ become _Retrograde_, which, as very
important, he would have well observed; as also, whether its motion will