372 On the Application of the Term " Infinite." 



Note. Whenever all the numbers that stand on a line with 

 a value of x become positive, we may conclude that the equa- 

 tion has no greater positive roots; therefore 13 is the greatest 

 positive root in this equation. 



To find the negative roots, write the upper numbers in a 

 line, and subtract the constant number 6. 



— 1, 560, -14, —28 

 20 —34- 6 



-6, 216 —58 



Note. Whenever all the numbers that stand on a line with 



a value of x become — + ; -\ , we may conclude that the 



equation has no greater negative roots; therefore x= — 6 is 

 the greatest negative root of the proposed equation. 



LXII. On the Application of the Term " Infinite." 



To the Editors of the Philosophical Magazine and Journal. 

 Gentlemen, 

 \ BEG to offer the following observations in reply to your 

 -* note, appended to a proposition contained in the paper 

 " On the Origin of Matter, and on its alleged Infinite Divi- 

 sibility," which you were so obliging as to insert in the Philo- 

 sophical Magazine for November last. 



I am, gentlemen, 



Yours respectfully, 

 London, January 19, 1824. J. O. F. 



If space be considered as a property of a subject existing 

 necessarily, and which therefore, as proved by Dr. S. Clarke, 

 must be necessary to the existence of all other things ; such 

 property thus existing necessarily, and not being a property 



of 



