i.i:n:uMi.\ATiox or Tin: OOWTAJTT, 



4 * 



tluTv!<'iv 



-jfe-o(-e 



therefore X'-Jb'-c'Ca* + ' -2) 



he equir c is to be f.mn-1, I 



accou 'H transcendent ul form it can only be solved 



by a; exponents of are ninnll, we may 



expat cxpom >rem and thus obtain the ap- 



matc value of c. In order that the exponents may De 



small, c must be large compared with h ; since " -j .! K 



Hows that when c is large, compared with 



the length of the string, ^ is small, and therefore the curve 



does not deviate much from a straight lii when 



tii.- two points of support are nearly in a horizontal line and 



i istance between them nearly equal to the given 1- 



string, we may conclude that will be small. In this 

 case, we have from (3) 



VCX'-JO-** approximately. 



187 mi the equation* of equilibrium wken a Jfanbh 



; u odea on by any form. 



Let x, y, s be the co-ordinates of a point P of the str 



ngth of the curve BP measured from some 

 up to P, and &t the length of the nr 

 id an adjacent point Q. Let K be the area of a 



T.8, 



