Of GREATEST ATTRACTION. 224 
‘bafe, and AB for its altitude; therefore m3 = 2 xeh X20 
3 m3 m?3 
ah 3 and2 = 3 =° 
$a 42a a 47a 
—4eal; fo tha #= 
3 
But becaufe AF: AC::1:cofg, or b:4::1:cofg, # = 
a Sager 
col g”’ a a cofgo 
fd 2, 
Now fince 2? =—“_,, and alfo 3? = age. we have 
cof @ 47a 
2," 
col @ 
Sec! and 43 ee Bt oats, or if 3 
m3 : 
= 9; 43 <aa(e? Col oy 
47a 4@ 40 
and a4 =n cof oF. 
, ¢ 
i Bon é, 
HENCE, as Dee nee = 2 cof 9? _, Axi 
a” coal@ a col @ 2 
cof¢ 
By fubftituting this value of = in the value of F, we have F 
— 47m tane—? fin 93 
oon ie a ABE se a d becaufe ¢ Fh Ae eo are 
cafe? tang? ? and becaufe tan 9 cote = 
2an.(tan@—).cofo? _ 2 «(tan 9 — @) cof ¢? 
fin 9? x cog? fin 5 
— 
— 
Ss 
2an(tane—).cofe?.fing. 
Now when the product of any number of fadtors is a maxi- 
mum, if the fluxion of each factor be divided by the fadtor it- 
Ee 2 felf, 
