( <54 ) 
Cor. II. It follows from this Propofition that- 
E* = E'xE' +i D' F '+5 C G' + 2. 0 B' H' +7 0 A' 1 ' + K. 
• DF= - -i- DtF'+4aG'+i7B'H'+f6A'r + 2ioK. 
CG= - - - - CG'+ 6B'H'+i8A'I'4-i2oK 
- - “ - B'H'+ 8A'i'+ 47X 
AI= - - - - - " - - - " -A'I'+ioK 
K = - - - - K- 
C'OR. III. Iteafily appears by comparing the Theo- 
rems given in the laft Corollary, that 
E'E' = - E* — iDF-l-zCG — iBH+ 2AI — 2 K. 
j)#p/ ^ _ _ _ DF— '4CG-f-pBH — i( 5 AI'f^ 2 yK 
Qi Qi z=:- - - - - “ CG-— 6BH+ 2 0 A'l — yoK 
B'H' = - -- -- -- - BH — 8AI-l-3fK 
^ . _ . - - - ---- - - - AI— loK. 
P R O P. VII. 
La / = ;/ X 
n 
I n 
__ X — 
— 
6cc. taking as many 
^ 3 
FaBors as the Coefficient E has Dimenfions and 
^mlx E" ffiaWal^ays exceedF^ Y — C G'-f BH 
A I 4-K ^hen the Roots of, the Equation are all 
that I expreffes the Number of 
Parts or Terms in the Coefficient E, and it is plain 
from Propofition N {fee Phil> d^TanJi N 394) that 
X £* muft always be greater than the Sam of 
X I 
the Produdsthat can be made by multiplying any. two 
- nr 
r 
