( 749 ) 
peryj^/fi?^Fadlwii tx -ea ?n feq-i 
tionem perVxx/. rr;:; r wpl: it: ^.yf i>ijji::. 
Quod Factum eft., u t . l»ol$Sj 4i^%%4^Co ^ qe^j^qris 
fpatio per earn fedtionem iranfeufltjs^i q^mque .e^denr* 
;Aquae molea date iempjo^e;pqr|finiulao';p^^ia:^%(^^ 
nes tranfeac, proinde Factum iftud perpetuo fibi^pqn- 
ftabir, eritque Vxx y^-z-z: i , . 
Quie eft ^.^qyatio Curvsc S\GC, part^fp^- mtra 
datum vas comprehenfam, delinea^^^.^jufclgpique^^/^k- 
^uacionem non obfeurg .ci^gnps , 
Frop,^6i .Lfh.ii Prhf.ip. qui primi^%5iqr5inj^rr»p>XSj-ara 
Aquae* efftuenris velocitatem, ex\gepuinis Prirf^ipuf^de- 
du(ftam, Orbi Literate expofuifi : - j ; ^ ,, 
•. Eft aucem ipfa Curva F3ypbrbolofiid§s quarci OrdP 
-ois^ cujus altera Afymptotos eft' re^a >4>S- ad-FJorizod*- 
tern parallela, altera ^.B eidem perpendiculafris. 
. Hujus Poteftas eft Quadrato-Cubus OrdinacGE ./^C7, 
dujSbs.ad pundum G, ubi reda^G, bifecan§ ;angulum 
ab Afympcotis comprehenfum, Curvx qccurrit* 
Spatium S A D BS, inter Curvam SQ E, Ordinat^m 
X)fi & Alymptotos A D,AS inclufum, ffquale eft qua- 
cuor panibus tertiis Redan^guli //£>* fubAbfeifla A P 8c 
Ordinata DE content!. Eftque proinde-Spatium •S’/Z.E 
-pars tertia ejufdem Redlanguli. , j 
Solfdum SG E EGS, convolutionei fpacii S A DBS, 
circa Axem A D, generatum, duplum eft Cylindri in- 
cumbentis fedioni E E, Unde Solidum cayum, quod 
gignit converfro fpatii S H EG S, circa eundem Axem, 
Cylindro incumbenti aequale eft. Quae omnia facili cal« 
culo inveniuntur per Methodum Fluxionum inyerfam. 
Theorem A L 
Aqui ex vafe amplitudinis infinicae, per foramen cir- 
culate in fundo fadum, decurrente, Motus totius Ca- 
taradae aqueae Horizontem verfus sequalis eft Motui Cy- 
C c c c c c a iindri 
