



i ;. 2. 



SCIENCE ABSOLUTE 



If BN II AM, we will have also CN II AM. 

 \ F&amp;lt;&amp;gt;r take D an \ where in MACN. 

 If C is on ray BN, ray BD cuts 

 ray AM, since BNllAM, and so 



a l-o ray CD cuts ray AM. But 

 1C if C is on ray BP, take BQll CD; 

 I in falls within the Z ABN (1), 

 and cuts ray AM; and so also 

 ray CD cut- ray AM. Therefore 

 every rav CD (in ACN) cuts, in 



F each case, the- ray AM, without 

 CN itself cutting ray AM. Therefore alwayvS 

 CN II AM. 



S3. (Fig, 2.) If li R and CS and each II AM, 



and C i- not on the ray I5R, then ray BR and 

 rav CS do not intersect. For if ray BR and 

 rav CS had a common point D, then ( 2} DR 

 and DS would be each II AM, and ray DS(;M) 

 would fall on rav DR, and Con the ray BR 

 nlrarv to the hypotlu-&amp;lt;is). 



4. If MAN&amp;gt;MAI&amp;gt;, we will have- for every 

 point i&amp;gt; of rav A 1&amp;gt;, a point 

 ! C of rav AM, such that 

 BCM=NAM. 



For (by 1 ) i&amp;gt; -Tauted 

 . N HDM NAM, and so that 

 i..,:-, MD1&amp;gt; MAX, and 11 falls in 



