30 SCIENCE ABSOLUTE OF SPACE. 



1+ BH -- 



andJ|=S=X(X*r-l) , and 



r&amp;gt; rl 



^?^X iX -1) *, whence, by inte- 

 dx 



-ration, we get (as in 30) 



^=/:(X--li -/cot CBN. 

 III. Manfestly 



dx~~ dx 



whirh iunlrss _^iven in y) now first is to he ex- 

 jnvssi-d in trnns of y; whence we get u 1&amp;gt;y 



D If AB=/, AC = ?, CD = r, and 

 CABDC=5/ we mi.^ht show (as 

 in II) that 



-=r, which - 



25, 0y 



and, intr^ratin^, 5 = 



Thi&amp;gt; ran also be deduced apart from inte 

 gration. 



For example, the ecjuation of tin- circle (from 

 J31, III -. of tin- &amp;gt;lraight (from $ 31, II), of a 

 conic iby what precedes), being expressed, the 



