by Means of two Altitudes of the Sun. iog 
Let us then suppose the time to be given at the first obser- 
vation, and let us determine the area gb by the second method, 
, , , 1 p , v vn cos. of merid. alt. (p.) 
and the area gc by the formula — . - cos> of dedin . ( jj"- 
Comp, of alt. — 46° 28' 41" 
Declin. = 8 7 35 
Lat. assumed = 54 36 16 
Computed log. of y — 10,0000000 
True = 9,9986591 
Area gb = 134 ,09 
Log. of area gb = 4,127 
— gc = 3,203 
Log. of v = 3,1015 
• [A = 9,8604043 
jnv[A = 22,9619043 
2 = 9 > 995 6 17 1 
— — . x = 9,7628420 
- Area gc = 3,2034452 
Difference = ,924 producing from tab. 2d. 8 # 23"*-. 
Lat. corrected = 54° 27' 52 "-j- 
EXAMPLE IV. 
The latitude, which is supposed in the last example to be 
54 0 27' 50", is that of Ravens worth, a village about five miles 
to the north of Richmond, in Yorkshire, where I resided some 
months in the summer of 17 97. During that time, I neglected 
no opportunity of taking the sun’s meridian altitude; and, ac- 
cordingly, the latitude which is there assumed is the mean 
result of a considerable number of observations. Moreover, on 
the 8th of September, I took, with particular care, four altitudes, 
