210 
The result of the calculation is, that at Manchester the 
Eclipse 
(1 
h 
in 
S 
Begins July 18 
1 
34 
10 
Greatest Phase 
2 
43 
44 
Ends 
3 
49 
17 
Mean Time 
at Greenwich. 
Magnitude of the Eclipse (Sun’s diameter = 1) 0’816 on 
the Sun’s southern limb. 
(first contact, 77° towards the est 
Angle, from North Pole, of ^ ^ a 
*= ’ ’ ( last contact, 126° towards the East 
( first contact, 97°towardsthe West 
Angle, from Vertex, ofT ^ ^ one. a 
^ ( last contact, 89 towards the East 
for direct image. 
For any place, not far distant from Manchester, whose 
geocentric North latitude is I, and East longitude X, the 
Mean Greenwich time t of beginning may be computed by 
the formulae, 
cos w = 0*86458 — [0*19895] sin I -p [9*99885] cos I cos 
(X + 72° 27'*6) 
^ _ 2 U 5 im 46 s _ [3*64179] sin w — [3*49917] sin / — 
[3*87835] cos I cos (X + 120° 55'*9) 
Contact on Sun’s limb, w — 24° 29'*2 from the North 
towards the West. 
Also the Mean Greenwich time t of ending, by the 
formulae, 
cos (i» = 1*22453 — [0*19671] sin I -f [0*00309] cos I cos 
(X + 107° 25'*9) 
t - 2^ 26“ 8^ + [3*58745] sin w — [3*45878] sin I — 
[3*82065] cos I cos (X + 154° 31 '*3) 
Contact on Sun’s limb, w + 25° 18'*1 from the North 
towards the East. 
There are four planets in the neighbourhood of the Sun, 
which may probably be seen during the Eclipse : Venus, 
within a few hours of her inferior conjunction, will appear as 
a very thin crescent, having only a minute portion of her 
