cn 
( 71 ) 
Cor. Hence the Produdls of any .two Coefficients, 
as D F and A I may be compared together when the 
Sum of the Diinenfions of 'D and F is equal to the 
Sum of the Diinenfions of A and I, Let the Dimen- 
fions of A and F be equal to s and m refpeflively, and 
let/ — ‘ , X j — : — X 6cc. tak- 
ing as many Fadors as there are Units in the Difference 
n 
m 
X 
of the Diinenfions of D and A. Let q 
n — yj/i . — I fi — ^ — 2, m \ 
ors as you took in the Value of p. Then (hall x 
P 
DF always exceed A I when the Roots of the Equa- 
tion are real Quantities affetfled with the lame Sign : and 
this Rule obtains, though the Roots are afFedled with 
different Signs when the Coefficients D and F are equal. 
P R O P. XI. 
_ The fame fhings being fuppofei as in the preceed- 
tngPropofttms. ^ 
1. « 1 E‘— ? »4-ix2 DF-|-?»4-4xtCG — za-f. 9 X? 
— m -j- 15 x 2 K - 
2. m — n~\~ I X DF 
pBH 
-m 
* * Vi 
« + 4 X4CG-f-7i^ — + P X? . J, 
72 -j~ i6 X 16 -f 25 X 25 K 
20 A I “j— 777 — I 2 72 — |— 25 X 50 IC - - - ^ 
X 8^I+i?:riifr5X35K=rf'. 
5- - - -f Itf xAI-'^7^:77r+7-5 xioK = f-. 
. ^ Thefe 
