Observations of the comet of 1807. 5 
any one of these longitudes or latitudes by L’ and the corresponding 
observed longitude or latitude by L, I put L—L’=d. 
Second Supposition. Making use of all the preceding elements €x- 
cepting D, and increasing that by the quantity 0-002, I. recalculated 
the same geocentric longitude or latitude and denoted it by L”, and 
put L'—L’=/’. 
‘Third Supposition. Making use of all the elements of the first sup- 
position excepting T and increasing that by two tenths of a day, I re- 
calculated the same geocentric longitude or latitude and. denoted it +BY 
L”, and put L'—L” =/”. 
Fourth. Supposition. ip use al all the elements of the first 
supposition excepting P and i that by ten minutes, I recal 
culated the same geocentric Torigitiide Por laithude : and denoted it by 
Liv and then put L'—Liv =7”. 
Fifth Supposition. Making use of all the elements of the first sup- 
position excepting N and decreasing that by ten minutes, I recalculat- 
ed the same uorpare sao or latitude and mernonigaca Ly and 
then put L’'—Ly =/". 7 
Siacth Supposition. inea-nbibaaadnsinnels first sup- 
position excepting I and decreasing that by ten minutes, I sccaledlat 
ed the same geocentric longitude or latitude and denoted it by Livi 
and then put L’—Lvi =/* . 
Each of the observed longitudes and latitudes by this means fur- 
nished an equation of the following form between the sought quanti- 
ties d, t, p, , i, upon the supposition, that the small variations of the 
calculated longitudes and latitudes are exactly proportional to the cor- 
responding variations of the elements of the orbit. 
ol + dtl" + 41" + ppliv -ntir i | 
Sea ae, RAPE, SEs comet we should procure six 
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