MATHEMATICAL PAPERS. 79 
The ule. of the foregoing table will appear. eafy by an exam- 
ple.. 
April n Du the e B s. double alti- 
tudes of the fun were taken at Cambridge with cg S OC- 
tant. 
D.a PaO deo ads pank awe 
Sun’s up- ] 54°00! 7^56/27^ 4hiv/ of 8^r44837 gh 7/165" 1249%43"30" 
perlimb. 3:58 00 8 733 35950 7 5217 356 8$ 12341 30 
San'$low-]59 20 8 14 18 3 53 o 7 38 42 3 49 21 12 3 39 00. 
er limb. 36120 8 20 3 34722 727 19 3 43 39 12 3 42 30 
Mean noon by the clock by the above obfervations, : 12 3 41 37 
Equation by the table for change of declina. during the f interval, ag 49 
one time by GM, io center Men the e meridian, 12 5 27 48 
Bede, 9 we: fal that the Kae was 
apparent time. 
The mean i interval to thefe correfponding altitudes is 3* 
r4 67. Tid dux! s oe | at noon, on the above 25. Wa$;. 
aris, by Connoifance des Temps, o* 22° 40" ; therefore, 
lowing for the difference dfi meridian , it was at iini i 
22° 52’. Hence, by taking the. eens in the table be- 
tween the equations for the + interval 5^ 50’ and 4^ 0’, and. 
: he longitudes ; as 20°. and o* 25^, for the i interval. a 
54' 6” and the longitude o* 22° 52’, we fhall find 13” 49”, 
as in this example.. 
