SCIENCE ABSOLUTE OF SPACE. 



13 



s o 



same; and every ray BN is also axis of L, and 

 between all axes of this L, is . 



The same is evident in the same way of F. 

 13. If BN II AM, and CP II DQ, andZBAM 

 + ZABN = st.Z; then also ZDCP+ZCDQ- 

 st.Z. 



Q For let EA= 

 EB, and EFM= 

 DCP ( 4). Since 

 ZBAM+ZABN 

 =st. Z = ZABN+ 

 ZABG, we have 

 ZEBG=ZEAF; 

 and so if also BG 

 =AF, thenAEBG 



f ZBEG^ZAEF and G will fall on 

 the ray FE. Moreover ZGFM+ZFGN=st. Z 

 (since ZEGB = ZEFA). 

 AlsoGNllFM (6). 



Therefore if MFRS^PCDO, then RSllGN 

 ( 7), and R falls within or without the sect 

 FG (unless sect CD = sect FG, where the thing 

 now is evident). 



I. In the first case ZFRS is not &amp;gt;(st.Z-Z 

 RFM=ZFGN), since RSllFM. But as RSlI 

 GN, also ZFRS is not &amp;lt;-ZFGN; and so ZFRS 

 and ZRFM+ZFRS=ZGFM+Z 



