[ i2« ] . 



If m be taken, any number having a lefs ratio to unity 

 than the circumference of a circle to its diameter the curve 

 will cut AB. \{ m be taken, having a greater ratio to unity 

 than the circumference to the diameter, the curve will cut the 

 continuation of A B, and in both cafes the conditions of the 

 problem will be anfwered. 



a _ m z z^ ^ being any odd nu, Tiber and m a numerical 

 r" + ' 



coefficient 



\ 2 r a i/r«— z« = fl. 2 « z z l*^'* — z^ 



I j-n 



the fluents of 'j 



1. • —.■ 



I _ <7 X r» — zA ' = fl 



v ' [ 



will be had in finite terms, and therefore the conditions of the 

 problem will be anfwered. From the equation a = ni z the 



value of nt may be determined fo that the curve may cut i\B 

 Vol. VIII. 3 U or 



