C 4049 ) 
reprefcnt the places of Comets for foiue time of their appari« 
tion, but not for the whole time : as we have fhew'd in that 
Theory. 
Having therefore chofen two of our firft ObfcrvatioiiS5(be- 
c:ufe the latter are uoc fo proper for this purpofe, ) and hav^ 
ing takeo a Mean between the firft Obfervatioiis of the Mathe^^ 
rnaticians of f/^/<r/;^3we have found by this method^ that the. 
Comet had been in his Perigee the 12th, of M^rch at 8 z 
clock in the morning thai: in that time , which is that of his 
greateft apparent celerity,he made about 2. deg.^a'.a day In the 
great Circle of his apparent motion ^ and -7^^ of his perigee* 
diftance in the Hne of his^5'^:^;3/motion : that he was in his great- 
eftDecHnation the i f^^.and i2^i?.of March^and//;*^?^ at that time 
he pafs*d through the inferiour Meridian at about tvv^o a clock 
after midnight* Wherefore^ if the weather hath been favoura^^ 
ble, he miift have been obferv'd by Mr. Hevelms^v/ho hath feeo 
him^witnefshis Letter^from the 6/<5'. of M-^r^rA 3* at ^ see no.Zi^ 
which time he was in perigee and made the biggeft r«4ofi7* 
Ihew» 
If we have rightly determin'd his Perigee, and that the hy^ 
pothefis of the equality of his motion be juft for that time^nor he 
hath begun to appear but when he was fulBcientiy nigh to the 
Earth 5 then he hath been vifible fince the middle of February^ 
at which time he wa/ as far diftant from his perigee by ap- 
proaching to the Earth^as he is at the prefent by recedingfrora 
iu He ppwift then have been at the extremity of the Southern 
wing of the Swan, and arrived at the Southern foot of Pegafus 
ont\\Q2^th^oi February, of the fame bignefs that he was fecn to 
be of, March 28. He muft have arrived at the Stars of the Nor- 
thern Arm of Andromeda^ March the ^ih ; at thofe of her Girdle^ 
the I ith, when he was an his Perigee , and io his greateft decli- 
nation -y to her ^Southern Legg^ March i %th 5 between her Sou- 
thern Legg and the Tx\2iX\g\Q^Mafch i8tb. very near as he was 
obfervM at la Flefcheiznd under the head o(Medufa,March2 ')th. 
The dayes enfuing he muft have arri v'd at the places marked in 
our firfl Obfervations : Bi^t in the laftjhe hath been fvvifter than 
this Hypathefis will bear*To reprefent thefe latter Obfervations, 
the Line of the motion ought to have been made curve, as we 
did for the end of the apparent motion ofthe Comet ofi665, 
with this difierence^that inftead oUhat lines being convex in re- 
Q.q q q 2 gard 
