(po7) 
HAih Circuit comfrehmforum^ menfura. Concerning whicii he 
tells you, that Archimedes fquared that Sfird^ which was made 
by an equal motion both in the Radius and Circumference oi the 
Circle :that Stefhano Angeli hath done the like, when the Mo- 
tion in the Radius is equal^but in the Circumference according 
to any degree of Acceleration 5 which gave him occafion to 
render this Dodrine eafie and Univerfal by reducing it to one 
AnaljftSj when the motion is accelerate according to i^ny degree 
either in the Radius or Circumference and hence refolves this 
Problerae^ InCirculo defcrihere Sprakm ex talthus motihus com-- 
f of turn 3 Ht Circulus ad Spatium ffirale habeat rationem datam 
mmeri ad mmerum^ And applies the rame Dodnne in 
Chap.^. to another fort of Infinite Spirals, 
chap, 2. He trtns De menft^r a ffatiorumyCurv^e^ reBaCdn- 
tentorumy & e&rum Centri <t/£quilibrii 5 applying the former Ana-' 
Ijfts or Algehraick Calculation thereto. 
chap, 5. Treats Be Punlfo flexus contrarii in Conchoide Nico-^ 
medis prima : which Point he determins by the Interfeftion of 
a farahela^ whofe Axis is fituated in the fame Line with that of 
the Conchoids or hy a Cubick ParaMa^'whofQ Axk is parallel to 
the Bafe of the Conchoid^^nd Vertex the fame with the Pek of the 
Cenchoidt, and hence invents innumerable other Conchoids oilik^ 
properties, and finds the Curve, pafsing through thofe points of 
flexure, that are made by Infinite Conchoids , defcribed about the - 
fame common Pole and Safe, which in the Common Conchoids he 
finds to be xht Perimeter of the Cuhick Parabola here mentioned t : 
But in his own mw Conchoids^ it is the antient Ci^o 'id^ extended 
beyond a Quadrant and running Afymptotick : And he finds alfo 
the round Solids made by the Rotation of thefe infinite CurveS;^ 
and of the Cifoid Line^ about their Eafe Lines or A[ympiote$ < 
equal to finite Solids. 
Chap. 6, The Author confidering 3 i\\2it Vincenm Vivianim^ 
his Book De Maximis (jr Minimis found, that if there were in- 
numerable Parabolas defcribed, having the fame Axi^ and Vertex 
common, if from any point in that Axis^ the /horteft Lines were 
drawn to thofe Parabola's^ all thofe points of Incidence would 
fall in an Bllipfis 5 and the Authors Analyfis taught him, that 
the Frop, w2LS Univerfal, wherefoever the point be afCgned, from 
w-hich : 
