[ 120 ] 
Maxim 4th. The aperture being the fame, the effeft 
•will be nearly as the cube of the velocity of the water. 
This alfo will appear by comparing the contents 
of columns 3, 8, and 10 ; as for 
Example if, of N°. 1. and N°. 10, viz . 
N°. Turns. Expence. Effe£t. 
i 88 273 141 1 
IO 42 1 14 I 17 
/ 
Lemma. It mud; here be obferved, that if water 
paffes out of an aperture, in the fame fedtion, but 
with different velocities ; the expence will be pro- 
portional to the velocity ; and therefore converlely, 
if the expence is not proportional to the velocity, 
the fedtion of the water is not the fame. 
Now comparing the water difcharged with the 
turns of N°. 1. and 10, we fhall have 88 : 42 :: 
275 : 131,2 ; but the water difcharged by N°. 10. 
is only 1141b. therefore, tho’ the fluice was drawn 
to the fame height in N°. 10. as in N°. 1. yet the 
fedtion of the water paffing out, was lefs in N°. 10. 
than N°. 1. in the proportion of 1 14 to 131,2 ; con- 
fequently had the effective aperture or fedtion of the 
water been the fame inN°. 10. as in N°. 1. fo that 
131,21b. of water had been difcharged indead of 
1 1 4, the effedt would have been increafed in the 
fame proportion ; that is, 
by the Lemma, 88 : 42 : : 27 y : 131,2 
by maxim id, 1 14 : J 3 1,2 : : 117:1 34,5 
and by max. 4 th > j 68] f_ 2 
1472 : 74 
Difference 
1 9 
The 
