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' ( 24 6 ) 
and the Thread wou’d remain in the fame Pofition 
but tt Wd be ftretch’d with a Force proportional’ 
to the Differences of thefe two Forces. 
“ Bu f, becaufe the Body B turns round the Center D 
it will endeavour to recede from it according to the 
Line C B, in which Direction the Centrifugal Force 
acting it will not direftly oppofe the Force of Gra- 
vity, but it will draw the Thread from the Petition 
A C into the Polition A B, let B G be drawn perpen- 
dicular to AC; if B C reprefent the Centrifugal 
1 ° rce > a&ln S according to the Direftion B C, it is eq ui- 
v alent (as is commonly known) to two Forces, one 
of which is as G C, and acts according to the Dire- 
ction G G which is contrary to that by which it de- 
icends to O the other is as G B, and acts according 
to the Direction G B, which is no way contrary to 
the Force of Gravity. If therefore B C reprefent the 
total Centrifugal Force of the Body B, that Part of it 
which d 1 redly oppofes the Force of Gravity, will be 
GC; from whence it follows, that the Decreafe of 
Gravity, m going from the Pole to the T-quator, is al- 
ways as the Square of the Co-fine of the Latitude; 
for draw BH parallel to the Axis PP, and becaufe 
the Triangles H C B, C D O are Equi-angular, there- 
c OT A H | C 13 B as C 0 is t0 C D, or as Q. o is to 
C D, but Q,G is to C D as the Decreafe of Gravity 
at Q_is to the Centrifugal Force at C. And there- 
fore H C is to C B, as the Decreafe of Gravity at Q_ 
is to the Centrifugal Force at C. But if C B repre- 
fent the Centrifugal Force at C, GC will reprefent 
that Part of tt which acts direcfly againft the Force 
of Gravity, and confequently the Decreafe of Gra- 
vity at theT.quator is to the Decreafe of Gravity at C 
as FI C is to G C ; now H C is to G C, in duplicate 
Proportion of H C to C B, or of C O or O Q. to C D 
“ by 
