SCIENCE ABSOLUTE OF SPACE. 27 



II. From 27 follows (if ,?M II rN) 

 cos : sin ,3=1 : sin 2/y but from 29 

 1 :sin ^ 



therefore cos a sin ^ 

 (equation for , /? and <z). 



III. If 0.0. 'JL/5r> an d A 9 ' an d rr'll aa/ ( 27), 

 and ,3'a>' J_aa'; manifestly (as in 27) 



sin 



, or 



* ~-5 if 5. ~^ 



(equation for #, <5 and c). 

 If rfl=rt.^, and /35_L^; 



O<^ ' O<^=1 * sin , and 

 Qc : Q(d=pd\= 1 : cos a, 



and so (denoting by O^ 2 ? for any x, the product 

 manifestly. 



But (by 27 and II) 



Qd=Q6.^(A+A~ 1 ), consequently 



fL -_?} ~_ I / f 5L -^1 2 f b -b^ ~ f a_ -a^ 2 



another equation for #, <5 and c (the second 



