VAniATORVM, 147 



hoc In w, fietqne t^^udt-iudu, ntqiii f/J/ziB/; in figu- 

 ra, quare ;)xB(3 (Conflr.)— Flxl/zrw^//, etwttzi: 2xEHIF, 

 ac pcr confequens , u leu celeritas in B ucquifita fitn 

 V(2EHIF). 



Tempus vero defcenfus per AB exponetur per 

 f-TlTEHiE] ^'^^ ^^ fignificat elementum arcus AB. 



II. Si in eadem fig. 4. potentia tangentalis LN 

 rr^/, exiftente /— OB, etBNznFI—;?, eritareaEHIF 

 = ^^tf/)-ite. Nam fupra (^. 10. inuenimus LNiz: 



arcaEHIF=://'^<3^J- refpedu arcusAB, hoc efl=|^.^^ 

 ^■^bss , fi arcus totus ABO dicatur nza. Cum autem 

 generaliter inuenerimus w=:l/(2EHlF)erit in praefenti 

 cafu n—V{aab-bss) celeritas in B acquifita defcenfu per 

 AB ; adeoque celeritas in O acquifita defcenfu per to- 

 tam ABO inuenietur ^/y^.Tempus per AB(=:/^p^^-y ) 

 iam ert :==^^a'a&:z^— 1|^ j vbi Q denotat angulum cu- 

 ius finus recftus eft m V{aa—ss) et radius zna , quare fi 

 szizo fiet angulus Q^redus , et tempus defcenfus per to- 

 tam ABO exponetur per ^vl"-^- ^^^ eandem hanc 

 fradionem exponcretur tempus defcenfiis per alium 

 quemcunque arcum curiiae BO , terminatum in imo ad 

 punAum O , fi mobile defcenfum fuum in fuperiori ar- 

 cus termino B a quiete inchoauerit. In hac ergo cur- 

 ua omnes eiusmodi arcus AO , BO etc. aequali tempo- 



T 2 - re 



