The Laws of Motion of a Cylinder, &e. obs 
the ratio Nae Fe , and Vite , conftantly di- 
minifhes as y increafes, it is plain the quotient of 
the former divided by the latter, or the laft expref- 
fion, is a minimum when y is fuch, that is when 
y = 1; on the contrary, the faid expreffion will be a 
maximum when y is fuch, that is, when it is infi- 
h 
nite. But the time in general is = 7 a ne 
Xx 7x MAG Ae but when y 1, 2 ee 
Vx +t—r1 
os Pros. I. Cor. I. therefore the minimum of time — 
re ee i re In order to find the time a 
“aectks 
maximum, we have 1 -+t—= Pros. I. Cor. 
II. and Vite— Ve+x Sgt ag ala : Mgrs 
' x” 
pete Vaxiit Fad pak Yetx— Vax. 
Now fuppofe x infinitely little and y infinitely great, 
and we have f¢-= sy X Vo, re ya. 1, Which, be- 
ing fubftituted for it in the general equation, gives 
the maximum of time — = —+o= As Be as nD 
tye Vii aaa 
which is therefore finite as well as the minimum. 
Cor. II. The Block has hitherto been fup- 
poled to rife, between every ftroke, to that 
Na point, 
