Mifiellanea Curiofa. a 4. 7 



But firft, infinite Length, or a Line infinitely 

 long, is to be confidered either as beginning at a 

 Point, and fb infinitely extended one way, or 

 elfe both ways from the fame Point ; in which 

 cafe the one, which is a beginning Infinity, is 

 the one half of the whole, which is the Suxxim of 

 the beginning and ceafing Infinity ; or, as I may 

 fay, of Infinity, a -parte ante, and a parte pofl : 

 Which is analogus to Eternity in Time or Du- 

 ration, in which there is always as much to fol- 

 low as is paft, from any point or moment of 

 Time : Nor doth the Addition or Subduction of 

 finite Length or Space of time alter the cafe 

 either in Infinity or Eternity, fince both the one 

 or the other cannot be any part of the whole. 



As to infinite Surfaced Area, any right Line, 

 infinitely extended both ways on an infinite Plane, 

 does divide that infinite Plane into equal Parts ; 

 the one to the right, and the other to the left 

 of the faid Line : But if from any Point in fuch 

 a Plane, two right Lines be infinitely extended^ 

 fb as to make an Angle, the infinite Area, inter- 

 cepted between thole infinite right Lines, is to 

 the whole infinite Plane, as the Arch of a Cir- 

 cle, on the Point of Concourfe of thofe Lines, 

 as a Centre, intercepted between the faid Lines, 

 is to the Circumference of the Circle ; or as the 

 Degrees of the Angle to the 360 Degrees of a 

 Circle. For Example, two right Lines meeting 

 at a right Angle do include, on an infinite Plane, 

 a quarter part of the whole infinite Area of fuch 

 a Plane. 



But if fb be, two parallel infinite Lines be fup- 

 pofed drawn on fuch an infinite Plane, the Area 

 intercepted between them will be likewife infi- 

 nite , but at the fame time will be infinitely lefs, 

 R 4 than 



