3388 Remarks on Mr. Quinby’s Crank Probien. 
ponent of the force becomes y~ q@™ 7", which is precisely 
the expression given by our author in Corol. 2, proposi- 
tion 40. 
If n=o in the en case, or the force be constant, we 
shall have ¥ 2 & Z—z or asthe distance passed over, as in 
the case of bodies dletcetitting by the force of gravity. If 
m=—1 or the force be reciprocally as the distance the curve 
will be a rectangular hyperbola, and the velocity of the de- 
‘ seending body at the center of force will be infinite. In 
general the curve will be of the parabolic or hyperbolic spe- 
cies. 
Art. XXII.—Remarks on Mr. Quinby’s Demonstration of 
“the Crank Problem,” contained in a former dolume of 
this work, and the anonymous reply to it in the last num- 
ber ; with a general view of the subject of the Transmis~ 
sion of power by Machinery ; by E. W. BLAKE. 
In a former volume of the Journal of Science, is a pa 
by Mr. A. B. Quinby of New-York, on the subject of Cranks 
. Motion ; in which he attempts to prove, that in a steam en- 
gine, in which the rectilinear motion is converied to rotary 
a means of a crank, all the power which is exerted on the 
ure en ol alway sS. oaken it te sil same we Ie Bat 
: in, ‘measuring power, we are under the necessity of referring 
