16 



SCIENCE: ABSOLUTE OF SPACE, 



Hence t-\ idrntly (by ^ 11 and 12) L is a uni 

 form line.* 



18. The intersection with F of any plane, 

 drawn through a point A of F obliquely to the 

 axis AM, is, in S, a circle. 



For take A, B, C, three points of this sec 

 tion, and BN, CP, axes; AMBN and AMCP 

 make an an^le, for otherwise the plane deter 

 mined by A, B, C (from 16) would contain 

 AM, (contra In p.). Therefore the planes bi 

 secting j. the sects AB, AC intersect (10) in 

 ray FS &amp;gt;f F), and FB-FA-FC. 

 MakeAH_|_FS, and re 

 volve FAH about FS: A 

 will describe a circle of 

 radius HA, passing 

 through B and C, and sit 

 uated both in F and in IQI 

 tin plain- ABC; nor have 

 F and tin- plane ABC any 

 thing in common but O HA ( Ini. 



It is also evident that in ivyolvinjr tlie por 

 tion FA &amp;lt;&amp;gt;f tin- line L (as radius, in F around 

 F. its rxtivmity will dr&amp;gt;rribe O HA. 



H 



* It IB not necessary to ro-trirt tin- l&amp;lt;Miionst ration to the system 



S; -iiii-i- it in;i\ i :i-il\ ln .^OSet forth, t liat it hold- :ili-olnt|y for 

 - :iii.l for : . 



