lit'. I! 



l.f. 



.. iii 'j .us in 



inns of JT and y a* found i : ,,iu equation* (8) and ( 1), gives 



,-. 



^ 



/>' 



\vhirh ia tbo conation M night. 



:K>U.S ih.it thf < urve peases through the 

 ii and is symmetrical with regard to the x-axi ; that 

 it lies wholly on the same tin- y-azin aa does the 



given parabola; and that it has two iniimtr 1> ranches. 



ii 



191. The cycloid.t Tht- .-vrl,,id < /'A i 



by a point 7'..n tin- rimimfrn-nueof a circle (If/ 



I 



i:. i m t:, . .: .. al slai i, isi 



to Chapter III . 



aii'l the logarithmic 



iteoaoM of the elegance of it* propertfe* and became of iu 



ftppUcaUonA in mechanics, the cycloid to the mo* important of the 



1 urvea. It has the added historical Interest of befog the srcond euro 

 va* rectified (cf. Art. ll" >. It* rrctificaUon was fir* accom- 



pliahed hy . .pher Wren (ltt-178) and paUiahed by him In 167*. 



SI 



