X 4012 ) 
Conchoide, Cfig 6.)cujus ordinata FMa conjiat epc^nureU$ 
F|l==:s=s/vh5 ^ tangents. Ma— CH='-v, (fi fit CP-=iCA~r^ 
adeoque CH^JS i ) faltem=z-^^ (p^Jf^^ CP=i : ) adeoque r*=rb 
=s + ^ r=^4^ s ^s,,Jaltem ^s=^s=l^ v h (^o/^^^ ^ + f 
Ergo DT^b^^l,,/ vh^ (omtt, 
a% quia pofi delendnm^ indeque oriunda, ^ficfemperi) ^Jump- 
pra^fed<infra^ putiUumfiecus contrarii.) Et, decujjatimmuhi' 
plicando 5 mijjis (ut pr<ecipitur)i ' K^n ^ v h utrobique ^ omnibuf. 
que a ^ mnltiplis ^ c^ter^fque per \ a ^^"^//^^ 5 2 f « v h »fc • ~ 2 f * 
„vhr = fHvhxf«)6'"fvh)c = fHr'--fvh,e Cp^o/?/^^vh+ ^ 
« ' = s ' + « ' = r % ) €^ f = « »► ^«/i£fw, in prima. ' 
( proper h=^;) f = -^^, 
jf/a Figura Tangentium Cfig.7.) qu£ a Conchoide differt^ ex- 
empto quadrante genhore s idem erit procejjui^ mfi quod^ propter 
r«£=M^=^s {^o^ls-i) prodibit (fivein primaria^ five in pro- j 
ifiFigura Secantium (fig.S.) /?ro^/<?r = b = — ; 
no = -7^> ^ r ' = -DT, adeoque {— 
Cumque bcec curva fit Hyberbola (per ipr^'^o.czi^^'i,^ pr. t rcap. 
i ^. de MotUj) cujus Jfymptotfe CA^ eadem tangens habetur 
per pr. 56.Con* fed* Cumque ordinate ad afymptotas (^per pr. 
9^y 95i Arith. Infin. _) Jint feries Reciproca Primanorum 
(jqu£ ad Par aboloidiurn genus fpeilat^ verticemhabens exp&nen* 
tern — I ,) habttur eadem tangens per prop. 49. Goo^Sed:* [eadsmt 
que eft expedita methodus pro hyperbolae cujujvk tangente per afytrk" 
ptokim inveniendh^) ^tppe, in Parabolo'idibus omnibus^ ut iU" 
tereepta diameter FC, ad VF^ fie 1 ad exponentem : hoc e/i, in pr^" 
fenti cafu^ utiad^i^^ adeoque VC^VF^ fed ( propter contr aria 
figna i '^') ad contr arias partes. 
Notandum hie y in Parabolic Paraboiotde, Hyperbolic EMipfi^ 
^c. figurhveSinuum (reBorum^ verforumve^ ) Arcuum ^ TaU" 
gentium J 
