Mifcettanea Curiofa. 117 



two are always lefs than % b, and two grea- 

 ter, viz,, if DG be lefs than AG, or % />&than 

 64 h + q. But three are always lefs than % b y 

 as often as the mean Perpendicular (or that 

 found from the mean y) is greater than AG, 

 or I bby greater than yyz—pyy of the fame 

 mean y. The fourth and greateft Root is 

 greater than the greateft y\'%b 7 and 'tis 

 equal to the difference of b and the Sum of 

 the other three Roots, and therefore is lefs 

 than 1 b. 



But 'tis now time to have done with this 

 Matter. Perhaps thofe that more perfectly 

 underftand the Nature of the Parabola, may 

 be able to do all thefe things after a more 

 compendious manner. But there is fome 

 caufe to doubt, whether all thefe Quantities 

 b. /?, q. r. ean be rightly determin'd without 

 the Refolution of a Cubick Equation, or no. 

 For whatfoever is done in Plain Equations in 

 this Matter, exhibits, not the true Limits^ 

 but fome Approximations only. 



Some 



