Opuscula * 
131 
fitive fumendam efle , 
§. 21. Remanet modo pro iiitegratione perficienda con= 
flruere yj d ii^ — d f- "^zi integrationem curvx algebraicis ; ad 
hunc finem invenio , ut noftrum Theorema poflulat , 
■ — ^axdx ... iu 
D y i — qq ™ — ■ , ut eliciam z = • = 
1 D x/i—qq 
2, ^ 1 a" . a a X X ^ _ -'•^ X 
dx , & zqq-=. — r . 3 ►v'' -4- 
aa-^xx quantitateni nempe algebraicam arcui quxlit^ cur- 
conjungendam , cujus cocrdinatas reperies s' / = • 
3 -4" 2 , & ^qq VI — q q U ^ . a"- . Ergo 
. , ^ a XX 
ex Theoremate numen 14 erit j- — zqq—i 
pp — 1 — , ■2^x X la^ . aa X x' 
\l aa-\- X X -^-L:=: — ^ . xx-^-aa^-^-lj vocalo fciiicet 
arcu curvx —L, cui apponitur fignum -4- calculo indicante; 
nam fumptis coordinatarum differentiis T^^^ . 3 j 
& —'^-7^. 3 ^ -I- & ad quadratum _elevatisp atque 
in unara fummam colleiflls , extra^laque radice quadrata 
a^dx — ~^ 1 ; -3 dx\/aa-^xx 
— :- . V i. x^ a^- X -f- ^x^ a = 4- 
o- _^ 
D — — . X X a a ^ - — ^ . 7,x x a a . aa x x , 
§. 22. Fro ultimo exemplo alTumo conftruendam per re- 
a'* dx 
dlficationem curv.^ algebraicjg formulara '■ — j tx qua 
prcvenit i- — ppz=z---- — quantitas negativa , & ordinata 
K 2 s. 
