( t^io ) 
done in regard to the Hyperbola, where there ocrurs a 
prearer variety, as it is here rrianagcd The ne^r iv/o 
Propofitions are the like in the oppofite Sedtiohs,' uht re 
they fuperadd any thing to what was before faid ot one 
Hjfperbola. And becaule a Reftilinear Ang^le may be 
confidered as an infinitely narrow Hyperbola^ to wit, 
whofe tranfverfe Axis is a point, in the 80 and laft Pro- 
pofition of this Book he determines the Lochs dolidpts^ 
made by the ordination of the Rami to this Angle, from 
an Origine in its Axis, either within or without the 
Angle. To this Book he fubjoyns an Epilogue, con* 
tainingfome general Corollaries, ufeful, as he fays, toward 
fome things which he intended to publifh 5 as that in a 
Circle the Loci Sotidi bade by the ordiYiation of tht Rami 
from an Origine in the Vertex, or within, are Parabola?, 
which are all Lines like one another 5 and that the Loci 
flani arifing by the ordination of the Rami from the Fo* 
ciis of aConick Sedion or Circle are ftrait Lines, which 
are alfo hke Lines, and (b in other cafes, that YxkcLoci 
arife from fuch applications. 
Part 5. The firft two Propofitions determine the Loci 
Solidi^ arifing when the Tangents of the Parahola^ inter- 
cepted betwixt the Seftion and either the Axis or the 
Tangent in the principal Ferf^x, are made ordinates to 
the principal Axis. And the next two determine the 
Loci Solidly arifing when the Normales ^ either to the 
Sefiion, or to the Rami^ proceeding from the principal 
Vertex^ are made ordinates to the Tangent in the faid 
Vertex* 
Liber IL 
. ■ • 
In quo Loci Ordinatarnm potentium Limites indicanfah] 
In this he treats at large, in 71 Propofincn^,,(6f Ae 
the Loci both Plant and Solidi arifing from ordmates U£^on 
