r 548 ] 
tim) Cycloidh dimetiend^, Quis fit modus omnium 
Simpliciffimils. "(Quod' rion repeto.J 
Simili Artificio colligetur, tota Sph£r£ cum Cylwdro 
Gollatio : Qaod fibi trionumentum fecit Archime- 
Quippe fi ('fig. J. ^/iid,^^^^ P fPeripheriae CircuU 
v^qualertj) Sufiiatur Alt&udb ("aequalis Radio) fiet 
Parallelogrammum Pveftangulum = RP, Quod nii- 
nutis Parallelogrammis ^que altis, numero infinitis, 
(juxta receptam methodum Indivifibilium) conflatum 
intelligatar. Quorum fi omnium Vertices, infelligan- 
tur, in ' unicum punftum contrahi Fig. 2. Quo, ex 
illis minutis ParalIelogrammis„ totidem fiant Triangu- 
la, "fuper eifdem Bafibus ^que-alta 5 fingula fingularum", 
adeoq.- omnia omnium, dimidia 5 fcurvata Baffin Cir- 
culi Peripheriam_ :) Fiet Circulus (centro.C, radio jj,) 
Parallelogrammi Dimidias = > 
Qob eft, ipfa Dimerifiio circuli : 
quails ntiq^ Triangulo Reftangulo, cujus Laterum 
f Circa Angulurn Reftum^ sequatur alterum Peripherise, 
aiteruni Radio, expofiti Circuli. Quippe 'J? (femi-al- 
titudo Trianguli) in P^Bafin J duifta, exhibet Magni- 
tudinem iftius Trianguli == f jRP,.t:ircul() sequalem. 
fldemq^ accommodabitur Seftori Circulari : fumpto 
Arcu A pro P Periplieria J ' 
Porro^ fi, ("fig. 3O ad illud Parallelogrammum 
==:RP, (ut Bafem) funlatur ifidem^ (in ordine ad He- 
. mifphserium ) Altitiidp R 5 Fiet Parallelepipedum 
RRP, -Quod pariter, e^ minutis Parallelepipedis 
a:que-altis, numero infinitis, conflatum intelligatur f mi- 
- nutisareolis iftius Plani infiftentibus^ quorum omni- 
um comniunis altitude fit R 5 & Bafium Aggregatum 
= /^P. Quodfi Parallelogrammum hoc fmanente mag- 
l^it-bdine>=i?P, J intelligatur, in curvam fuperficiem cy- 
•lindricam curvari fcujus Bafis flfP, jam in Peripheri- 
am circuli convoluta, Altitudo R :) Quo minuta ilia 
Pa« 
