_ accelerated ; 
GUNNERY: | : 
‘In the folution of this prob blem he affumes the two follow. ° 
” Stites the abt Lu aa u t f tlie fo 
ing principles: 1. That the action of the powder on the at the point F Fie biden ag ity hehe aonror dag % is ph 
bullet wuiks as foon as the bullet is got - = the se ‘wife known ; the phapartion betivees the force the ball is 
converte ‘ 
ideas all the powder of the char 
ona fluid, before the bullet is featibhy: naied from 
poe 
Thefe affemption, and the conclufions before mentioned, 
make the action of fired gunpowder to be entirely fimilar to 
that of air condenfed a thoufand times ; and. from thence it 
Do aaat by the of the curve, the 
bafe of which ohh ear the fpace eHroagh which the ball is 
the ordinates to which, reprefent the iii 
“ = powder at every point of that fpace : and thefe ordi- 
being in reciprocal proportion to their diftance from 
ae ‘hobiek of the gun, Len ses) e {paces occupied by 
impelled with, and its own 
In this pros 
Lhe a FHt 
point ; Weber, by tl the on “propofition of 
lib. i. of yd Hae rere s Phil. Nat. Prin. Math. the areas 
PB H QB are in the duplicate be pes of the 
Meare which the ball wou 
own gravity through the fpace F B, and when ‘nnpellat 
renee s the fame fpace. by the force of the powder. But 
fince the ratio of A F to 4 B, and the ratio of FH to FL 
ref 
aie 
’ the fired powder 3 = the force of the are known, the ratio of the area F I, P B to the area \ 
arn or the of heres repetaning It, will Be'as 1,°3, 35 PHOS is Bnown : ;_and thence its fubduplicate. And 
4, &e. it appears that the € a common hyper- fince the line PBi is given in magnitude, the velocity whie 
ars Sacra ce at 
MN Reet Th 
bola, and that the area isiaennad 
powder at the firft explofion and at the muzzle of the piece, 
will reprefent the total action of the powder on the ball; but -. 
the | 
‘woul 
would nd rate of he < curve or interc costed Sats 
mentioned, and the height 0 which pias 
re 
reprefent ‘the eniform force of gravity ence 
{ the velocity = the ball, ens fo a3 the aétion of the 
will be ‘loci alt 
m OF vity is 
Jy Binge shee rteate le: but the vel 
a; is given, roan the cy i 
the gy of hype 
the velocity of t Fall arilin Sibi 
will be | 
aP a8, and this eeelocle 
ity the ball will acquire when ims 
ba 2 eat the ine FB aes the aétion of the inflamed 
Pow. 
¢ and the fpace ocdtipied by the * teh A F, to be'2$ inches 5 
to determine the ‘yelocits be comm cindcaedl toa 
Teaden bullet by the ex Seno fuppofiug the bullet laid at 
fir(t. with its furface contiguous to th d 
__ By the theory here laid down it appears, that at the 4 
the 
ae the stole is efteemmed equal to that of a column of : 
int the axis of any piece Loar ‘A WEbRRCN LAR ite = ta i el 3h Sa yeah tp Pa Se 
muzzle ; DCt diameter of its bore, an D GCa part lead 34.9 iuchés 3 A, Rs? ht ;- whence, multiplying this by 
of its cavity filled with powder. Suppofe the ball, ‘that is Es 8 fe high shoe 
to be impelled, to lie with its hinder furtace at the line GE, 5 seallnes eden nal ¢ of Te seen ail by t moe 
the p Ture € -at the explofion, on the fof = the ei cae 
ealt 
circle ; draw ~ Se line F H_ perpendicular to FB, and AI 
parallel t d through the pomt H, to the afymp- 
rotes LA A and AB, dcleribe the hyperbole K ee Noo 
if FH —— the force impellmg the ball at the’ point 
F, the force i Satie die fae! * other phaceyas Al 
be reprefented ! y the tine MN, the ordinate to the wg a 
bola at tha ty fae when the fluid i h 
Shea de ae 
fity ; pene oe 
body fx as 1 to 4324—. And fi 
OO times its eg ace the for 
is ee i Ora powder at its firflt explofion, F H, as oY bid 
69800 : did FBG PR ees ape hf (or 24) to 
that is, ‘as 436):to 21's whence: the rep 
to the reGtangle A APH'S, a 399 to a1 pfcop 
the _knowh application feation of 
oe co rengeieend cee 
a8, imbieh ning 5795 wives thc ratio of there 
pgs se hesesioNe a8 143420 ‘Ke. to has © 
* 
Bei 24 it 
SEES gy SLT BSS SIERRA ee g9 So AE Rg te 
ke @ Saeenntine OSES Pi eB. : 
ae . 
