1 14. JMiJceUanca Curio fa. 



than V 9 bb — 3 p + 3 b \ yet the other Af- 

 firmative Root (which is diminifh'd with the 

 Quantity q) is lefs than this Limit. But 

 the Negative Root is always lefs than 



\ffbb-\~f p and the Quantity q be- 

 ing wanting, vanifhes. 



In the third Formula, there are two Ne- 

 gatives and one Affirmative. In this, as in 

 the fourth, the Roots are not limitted by 

 the Quantity b. But the Affirmative Root is 



ever lefs than V ^ bb -'p f p + ] b, yet grea- 

 ter than V p 4 bb ~\- \ b ; and the greateft 

 of the Negatives is always greater than 



V ; bb + ]p~ I b, but lefs than ^J+\Tb 

 I b. But the lefs of the Negatives is al- 

 ways leffien'd with the lelfen'd Qantity q. 



In the fourth Formula, the Center falling 

 within the Space L a P D; if there be two 

 Affirmative and one Negative Root, the 

 greateit of the Affirmative Roots cannot be 



greater than V p + 4 bb \ b, nor lefs than? 



V I bb '4- f p + 3 b. But the lefs Negative 

 is lefs than r — 



V f bb + f p — 3 b, and greater 



than V p 4- \bb—\ b. But 'tis to be noted 

 here, that the Negative Roots are every 

 where mark'd with the Affirmative Sine, be- 

 caufe thefe are the Affirmative Roots of thofe 

 four Equations, ia which is found + and q 



