176 
MINUTES OE PKOCEEDINGS OF 
It will be found, in using the tables, that errors up to 5 in the values 
of K are of very slight consequence. 
§9. 
§4. 
10. (/= — 2bv z ) peoved feom (AH =s constant). 
(Article 56). 
It has been shown by experiment that AH is very nearly constant for 
equal alterations in the value of s } 
.'. t = as + b$ ' 3 
“a” and “ b 3) being unknown constants. 
Eq”* (c), 
§ 2 . 
dt 
ds 
= a 
+ 
2bs } 
ds 
1 
dt 
— V 
a + 2 bs’ 
dh 
=/ 
*** dt 3 
= 
_ 
{a + 2 bs) 2 
= — 2bv s . 
N.B.—There is an erratum in Art. 57. Instead of f 3 — — -A (A~t 2 — A 3 t 2 ) it shoud be f 3 = — 
(aH 3 — A 3 * 3 ) from the first of the formulas (h) in § 8. This is used because A 3 t has a value, 
h 
but A H has not one; consequently, in the next line, read *00326 for *00316. This alteration runs on. 
11. Motion oe a Peojectile in a Resisting Medium. 
(Chapter IV.) 
Bernoulli's method of calculating the motion of a projectile is merely 
historical, and is not necessary to what follows. 
Arts. 60,61. Professor BashfortlPs method is the following:— 
Let 0, (j> be the inclinations of the trajectory at any two points, P, Q, 
on the same side of the vertex. 
Let and v# denote the velocities at these points j and up denote 
the horizontal components of these velocities. 
PM QM = y, time of flight from P to Q =s t> 
