tard the myetuf of its own weight : therefore to explain this, 
be pleas d to fee F^g, 2. where hrft. Let the circle [L. o. D. N.) 
reprefent any circular body whofe centers both of gravity 
and magnitude are coincident at M. Let this circular body 
be plac d upon forae level plain G G. and then tis eviden^: 
that the, Angle of its contad with that plain at f<j.) will alfo 
be the point of its Libration, and confequently it muft needs 
reft there i ^Q^tta momentum imfeclimentum junt aqmlia. 
2. Let D E. reprefent a defcending plain, making an Angle 
of contadrwith this circular body at (^0 and here, 'tisma- 
nifeft it cannot rett s becaufe the Lme of Dire^ion (ra,) which 
(while it inlifted on a level) divided the circular body by the 
centers of magnitude and gravity into parts equiponderate, 
is now removd to L D which Hne l D falling without or 
befide the center M. evidently deftroys the ^equipoife of its 
parts, and therefore muft leave it to tumble down towards £. 
for here Momentum imfedimenti) majus. The reafon therefore of 
itsdefcent now, being the ovcrballance of the parts LND. 
to the remaining Section LDO. it muft neceflarily follow. 
3- That if fome weight equal to the excefsof LND. a- 
bove LO D. were afiixt to the limb of the Qiiadrant (O, a,) 
as at P ; then the circular body would reft as quietly at (^,) 
as it did before at (^O'The fuppolition cannot be denied, 
and the conlequence is unavoidable, becaufe LDof Fz=L, 
N o, i. e, Imped.mentum A^^Matur Momento Nay I aiSrm that th S 
circular body lhall now refift a greater force, and maintain 
its point of libration {h) more pertinacioufly on the decli- 
vity D £, then it could before, when it refted on the poynt 
f ^ j in the level G G. The reafon of which, is evidently thisj 
becaufe by the addition of the counterpoife to theQuadrant 
Oay the center of gravity falls lower in the line of Direction 
L and is remo v d from M to c, ^ . nearer to the poynt of 
libration {i^) : and confequently will keep the circular body 
more fteady in its prefent Pofition From whence if it be re- 
moved about 7 or 8 degrees of the Quadrant from the poynt 
of Libration (^) either upwards or downwards by a motion 
of volutation, it will vibrate briskly till it recover its poynt 
of quiefcence : whereas any globular body having the fame 
centers of Magnitude, and Gravity, and infifting on a level ; 
as it is turn d with a very light impulfe, fo as foon as its cir- 
cular motion ceafes, it never undulates one jot, but refts in?- 
mediately. 
THUS it appears evidently (as to me it feems} how fuch 
a circular Body as is defcribd may be made to reft up- 
on the defcent S E : whichif Ihaveprovd, more than half 
the difficulty of the Frobkm is folv'd j for what I have alrea- 
dy 
