248 Mtfcellanea Curiofa. 



than that Space which is intercepted between two 

 infinite Lines that are inclined, though with ne- 

 ver fo fmall an Angle \ for that in the one Cafe, 

 the given finite diftance of the parallel Lines di- 

 minilhes the Infinity in one Degree of Dimen- 

 fion ; whereas in a Sector, there is Infinity in 

 both Dimensions} and confequently, the Quan- 

 tities are the one infinitely greater than the other, 

 and there is no proportion between them. 



From the fame Confideration arife the Three 

 feveral Species of infinite Space or Solidity, as 

 has been fa id ; for a Parallelepepide, or a Cylin- 

 der, infinitely long, is greater than any finite 

 Magnitude how great foever ; and all liich So- 

 lids, fuppofed to be formed on given Bafes, are 

 as thofe Bafes, in proportion to one another. 

 But if two of thefe three Dimenfions are wan- 

 ting, as in the Space intercepted between two 

 p irallel Planes infinitely extended, and at a finite 

 diftance ; or with infinite Length and Breadth, 

 with a finite Thicknefs ; All fuch Solids (hall be 

 as the given finite diftances one to another : But 

 thefe Quantities, though infinitely greater than 

 the other, are yet infinitely left than any of 

 thofe, wherein all the three Dimenfions are infi- 

 nite. Such are the Spaces intercepted between 

 t^vo inclined Planes infinitely extended ; the Space 

 intercepted by the Surface of a Cone, or theiides 

 of a Pyramid likewife infinirely continued, &c: 

 of all which notwithftanding, the Proportions 

 one to another, and to the to -mv 9 or vaft Abyfs 

 of infinite Space (wherein is the Locus of all 

 things that are or can be ; or to the Solid of in- 

 finite Length, Breadth, and Thickne/s, taken all 

 manner of ways) are eaGly affignable. For the 

 Space between two Planes, is to the whole, as 



