( 553 ) 
are as thoft Bales, in proportion to one another. But it 
twe-oFthefe Three Dimenfions are wanting, as in the 
fpace intercepted between two parallel Planes infinite - 
]y 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 ano- 
ther 3 but thtfe Quantities, tho infinitely greater than 
the other, are yet infinitely lefs than any of thofe 
wherein all the three Dimenfions are infinite. Such are 
the Spaces intercepted between two inclined Planes in- 
finitely extended; the Space intercepted by the Surface 
of a Cone or the fides of a Pyramid likewife infinitely 
continued,^, of all which notwithftanding, the Pro- 
portions one to another, and to the ii mv or vaft Abyfs 
of infinite fpace (wherein is the Locus of all things that 
are or can be$ or to the folid of infinite Length,Breadth 
and Thicknefs taken all manner of ways) areeafily af- 
fignable. For the fpace between two Planes is to the 
whole, as the Angle of thofe Planes to the 3 60 Degrees 
of the Circle. As for Cones and Pyramids they are as the 
fpherical Surface, intercepted by them, is to the Surface 
of the Sphere, and therefore Cones are as the Verfed 
fines of half their Angles,to the Diameter of the Circle ; 
Thefe three forts of infinite Quantity are analogous to 
a Line, Surface and Solid, and after the fame manner 
cannot be compared, or have no proportion the one to 
the other. 
Befides thefe, there are feveral other Species of infi- 
nite Quantity, arifing from the contemplation of Curves 
arid their Afymptotes, which by feafon of the difficulty 
of the Subjeft cannot be madefo plain to nioft Readers 5 
but what has been already faid may be fufficienc toe- 
^ince what we undertook to explain. 
A 
