foft, the brightnefs x>f its (ingle kernel, though the environing more dilute 
matter were then almoft all loft*, it being, accordingto the Author, more 
and more attenuated, and grown narrow, the nearerthe Star approached to 
the Sun. 
Thirdly, *tis noted, That this Comet did very much digrefs from the Hypo* 
thefts, delivered by M.Auzout, in regard that, whereas according to that 
Hypothefts , this Star ftiould not arrive to the Ecliptic^ till after the fpace of 
? months , it arrived there the 28 of April. And then^ that its firft Con jun- 
dion with the Sun hapned between the 19 and 20 of April, and the fecond 
the laft of April, not (as M. Auzout, would have icj the 15 of May. So 
that he concludes, that this Comet never came down to the pleiads and the 
Eye of Taurus, as the Hypothefts of M* Auzaut requires, but that from 
April 20* it did immediately take its courfe towards the Ecliptick, defkding 
every day more and more from the SeElion of a Great Circle, to the Lucida 
of / 4 m/,arriving at the Ecliptick. the laftof^;« 7 , about the 8th or 10th 
deg. of Taurus , not in July about the 8 th of Gemini , and the Eye of 
Taurus . 
Fourthly , He intimates, that if this Comet had appeared fome few weeks 
fooner, it vyould have confronted the former Comet, being yet in its vi- 
gour and of a confpicuous bignefs, ih the fame place, where that was, viz. the 
He ad of Aries. 
Fifthly , He obferves, that this Star in progrefs of time became Retrograde 
whence it came to pafs, that in the Months of June and July it did not appear 
again before the Rifing of the Sun, though the Sun left it far behind : where- 
as, if it had proceeded toward the Eye ofTaurusy it would have appeared 
again in the morning. 
Sixthly JHe maintains, that this Comet was not the fame with the former • 
which he thinks may be demonftrated, onely by a due Delineation of 
both their Courfe upon thje Globe where he faith it to be evident, that the 
former could never come tp the Head of Pegajus, as moving already in Fe- 
bruary in a ftreight Courfo about the Head of Aries .* Befides, that the for- 
mer went in the very beginning in a Retrograde motion * but this perpetually 
in a diresft one : that , about the end, very flow, its Head lefsning and grow- 
ing dark ; this fwift enough, with its head confpicuous and bright. To which 
he adds, that the whole Courfe of the former was made under a quite diffe- 
rent Angle of the Orbits and Ec Uptick., and a different Motion of the Nodes 
from the latter : As alfp that their Faces differed very much from one ano- 
ther * the ftrfi exhibiting all along a matfer, which as to its denfity and rari- 
ty, altered from day to day exceedingly, whereas the fecond retained (to the 
Authors admiration, who affirms, never to have obferved the like) all the 
time he faw it , one and the fame round, denfe and bright Speck or 
Kernel. 
AH which he concludes 1 , With an Intimation of his fenfe concerning two 
other Comets, pretended to have been lately feen, One sx Rome, about the 
Girdle 
