1876.] 



of the Trajectories of Shot. 



21 



More accurate value of ; — 



j„3,,^1398J-1290^3,, 



1° 32'-35 

 log cos 0=1-9998445 

 log sin 0=2-4274621 

 16429 



2-4291050 



From Mr. Basliforth's Tables for S^, and : — 



Si^o =1920-5 T,^^^ =1-3007 



«.a.s-e= 1355-3 T^^^. = -8796 



Difference = 565-2 -4211 

 log X=2'1 522022 log Y= 3-4668672 



1-2853350 2-4291050 



3-4668672 1-8959722 

 1-9998445 



3-4667117 



iog T=i-6243852 

 1-2853350 



, -3390502 

 X=2929, Y=78-7, T = 2-183. 

 The projectile having ascended 78*7 feet will have to fall through 

 78-7+14=92-7. In the descending branch we shall again integrate 

 over 3°, because a good deal of the calculation will then have been done 

 for us in the work for the ascending branch. 

 Our p here is the q of the last arc, so that 

 p sec 1| = 1290 ; 



V ,^ = 1-6357; 



p see 1^ ' 



V ,, = l-6357 + -5789 



? sec 1| ' 



= 2-2146. 

 ^ sec 1 1=1207-4. 



^; = 1°28'. 



Difference of S's = 488-1 

 Difference of T's= -3912, 



X = 2529-5 



Y= 64-76 



T= 2-028. 



