. ( 4012 ) 
In CoDclioide, f fig 6. ) cujus ordinata VMa conjlat ex fmu rtU^ 
VM—%:==:^wh, ^ tangenteMdL^zCH—T, (fi ft CP=CA:=t^ 
adeo^ue Cii^AS i ) faltem~f (pojlto CP=s : ) adeoque Trt^b 
:==s , -f r^^-ii s ^h, faltem '^^s='j=y v h Qofto . +f 
Ergo DT=J^'b='f'^ , ^ V h^DO=~l V : V h + 2 x a - : Comitt, 
a% quia pofi delenduniy indeque oriunda^ ^ ficfemper :^ ^^fump^ 
its qmdratts^-^,^, « vh^ ;ri?TI7:^ (^^^^^A > /«- 
pray fed'K^infra^ punUumfiecus contrarii.) Et^ decujfatimmulti- 
plicando 5 omiffis (ut pr<ecipitur) 1 * ;c * *i * v h utrobique , omnibu/l 
que a ^ mnltipiis 5 deter ofque per + a 3 2f«^vh»c*-2f* 
»^vh>t4- ^2 f%^>t^-2f%vh)t^ : adeoque ( j:?o//(7 ^« T,) 
Mvhr = f„vh^.f«»*-fvhH=:f«r^-fvh»6 (propter\ h + 
= s ' + ^ = r V) f = ——fr^fiii^ quidem, in prima, 
ria, (propter \i = f = 
Figura Tangentium ("fig.?.) quce a Conchoide differt^ eX' 
empto quadrante genitore s idem erit procejjufy nifi quody propter 
/^<t=M*=^s {non\^^ prodibit (fpve in primariay five in pro* 
traUa contraBave,,) f L h^^? ,.. 
/«Figura Secantium (fig.S.) propter VAz=h= ^ $ m> 
DO = >" r * = -DT". adeoque f = 
Cumque hcec curva Jit Hyberbola (per pr^30.cap*5.^ pr. i . cap. 
I 5, de MotUj) cujus Jfymptett^ CA^ CiS ; eadem tangens babetur 
per pr. 36.CGn* fed:* Cumque ordinate ad afymptotas (^per pf. 
945 95> Arith. Infin, ) Jim feries Reciproca PrimaDorum 
(qu£ adParabolo'idiumgenus fpeUat^ verticembabens d exp&nen» 
tern — ^ ,) habfitur eadem tangens per prop. 49. Con*Se<9:* [eadsm 
que eji expedita methodus pro hyperbola cujufvis tangente per afym^- 
pto^m invenienda^) §luippe, m Paraboletdibus omnibus^ ut in^^ 
tercepta diameter VCy ad VFy fie i ai exponentem : hoc efi, in prtt- 
fentieafu^ utiad-^l'-i adeoque FC^FF^ fed (propter contraria 
jigna i ad contrarias partes, 
Notandumhic '-i in Parabolic Parabolotde^ Hyperbelay EUipfi^ 
^c. figurave Sinuum (re^orum^ vsrmumve^^ ) Arcuum^ Tan^ 
gentium y 
