his
_Ephemerides_, either to confirm the _Hypothesis_, upon which the _Author_
had before hand calculated the way of this Star, or to undeceive him, if he
be in a mistake. The said Author Dedicateth these his conceptions to the
most Christian King, telling him, that he presents Him with a design, which
never yet was undertaken by any _Astronomer_, all the World having been
hitherto perswaded, that the motions of _Comets_ were so irregular, that
they could not be reduced to any Laws, and men having contented themselves,
to observe exactly the places, through which they did pass; but no man,
that he knows, having been so bold as to venture to foretel the places,
through which they should pass, and where they should cease to appear:
Whereas he exhibites here the _Ephemerides_, determining day by day, in
what place of the Heavens this _Comet_ shall be, at what hour it shall be
in its _Meridian_, and at what hour it shall set; untill its too great
remoteness, or the approach of the Sun, hide it from our eyes. Descending
to particulars, he saith, that this Star, being disengaged from the beams
of the Sun might have been observed, if his conjectures be good, ever since
it hath been of 17 or 18 degrees _Southern Latitude_, and that about the
middle of _November_ last, and sooner, unless it have been too small: That
however it hath been seen in _Holland_ ever since the _2d._ of _December_
last, at which time, according to his reckoning, the Diurnal motion of the
_Comet_ should already amount to 17 or 18 minutes. He finds, that this Star
moveth _just enough_ in the Plan of a _Great Circle_, which inclineth to
the _Equinoctial_ about 30 degrees, and to the _Ecliptick_ about 49d. or
491/2 cutting the _Equator_ at about 45_d_1/2, and the _Ecliptick_ at the 28_d_
of _Aries_, or a little more. He saith _just enough_, because he thinks,
there may perhaps be some _parallaxe_, which he wisheth could be
determined.

Hence, (_so he goes on_) every one who pleaseth, may see, in tracing the
_Comet_ upon the _Globe_, through, or by which Stars it hath passed and
shall pass; adding, that there will be neither cause to wonder, that having
descended to about 6. deg. beneath the _Tropick_ of _Capricorn_, he hath
remounted afterwards, and shall go {5} on ascending so, as to pass the
_AEquinoctial_, and perhaps proceed to 15. degrees _Northern Declination_,
if it do not disappear before that time, by reason of its remoteness: Nor
to believe, that t