; - SCIENCE ABSOLUTE OF SPACE. 



will ha \v u 27) OCD:OAB-1 : sin z, pro- 

 M videdthatDMHBN. But MH 

 ~ z is not &amp;gt; 1 ; and so AB is 

 not &amp;gt;DC. Therefore a quad 

 rant described from the cen- 



A 



FIG. so. ter A in BAC, with a radius 



= DC, will have a point B or O in common with 

 ray BD. In the first rase, manifestly ^=rt.Z; 

 but in the second caae ( 25) 



(OAO=0CD) : OAB=1 : sin AOB, 

 and BO ^=AOB. 



If therefore we take ^=AOB, then DM will 

 be II BN. 



^ 35. If S were reality; we may, as follows, 

 draw a straight _[_ to one arm of an acute angle, [211 

 which is H to the other. 



Take AM 1 BC, and 

 suppose AB^BC so 

 small (by 19), that 

 if we draw BN II AM 



$ 34), ABN the 

 i [0.81. 



angle. 



Moreover draw CPU AM (34); and takr 

 NBG and PCD earh (Mjual to the j^iven angle; 

 raya I5C, and CD will cut; for if ray BG (fall- 

 in-- i\\ construction within NBC) cuts ray CP 

 in K; we- shall have isimv HX^CP), ZEBC&amp;lt; 



ZKCii, and BO KC&amp;lt;EB. Take EF-EC, EFR 



