Os Winds and Sounds.

h J which it is condensed, and its Actionon the external Air greatly increased at its

Exit

1 3- Again, to find the Time t in which the

**°Und ascends, fay, As b: x :: i" : t" = ~ = the

b

^me sought in Seconds; but t -f-1 =: c —

'V'i therefore x + b / — zzbc. But b / _ _ _ _ -

^ a v a \/a

—

j and since * is the Square of \/x, the foregoingS a Quadratic Equation ; and, by compleating the

8n„ , , b _ bb bb

?«are, we have - + —- ^ b c =

I v a 1 4« 4a

ii (by putting s s ~ hb + 4 a b c).

Whence extracting the Roots on each S ide we have \/ x

+ —— ± — S - =z , that is, V~ = —■=/* But

a a 2 ^ a

^nnot be a negative Quantity ; and therefore it can-

iim, _ — b—s _ —b -f- s

°* he J x — -but must be J x = -

v 2^8 •‘■V a

therefore x ~ — the Depth of the Well re-

„ . 4 «

^Uired.

. ^4- No«r« = 16,122 Feet, and b~ 1142 ; whence64,488, and bb — 1304164 ; also 4 a b~ 73646 jj we suppose c— 10", then 4 abt— 736460, andi '\' 4 -ab< ~ s s — 2040624. Whence s — 1428,5 ;

^ * — b— 286,5 ; and s — b = 82082,25. Const-antly - ^ — 1273 ro x ; or the Depth of the Well

>4 a

S t2 73 Feet.

s—b

*5* Since x —-, we shall have s /*

s—b

— 7 =»a

245

4 «

R 3

and