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# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 40, page id 1025220307:0048
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mensionum hujusmodi, by F. Cay F e a)
LXY ) faX, =0
+ 3X
ex qua dedlucit aequationem ad Guadrandam genera
lem, in qua ordinaca z est etiam duarum dimensio-
NUIMd,
bz. Y CaZ Y ea
de = C∞ + f2b - cdf - 4bec + a X
L 2dXZ. ] 2faX-) Abea  AbfaX ] 4bgX
+ 43X
Ca = 2c dax d X
Ee similiter pro reliquis Ouadratricibus generalibus
Duacrandas generales inveltigat. Proponatur jam
Figura aliqua Ouadranda specialis ABC, _ exprima-
EUE RaCUTa CUEVX AFB hac aequatione
7
91 1x. - - r2 2X X + 4 x3
2m; hanc aequationem comparat cum
aequarione generalis Guadrandae jam polux, (quia
ordinata Z in Ouadranda speciali ad duas tancum di-
mensiones ascendic) nempe lingulos hujus cum fingu-
lis illius terminis (ubi x eandem utrobiq; compoliro-
nem obrinct) eritque ex hac comparatione c, d, e =0,
_ b = = f = = 1 ac ∞ =:; _ hos valores substituit
in aequatione ad Juadratricem supra posicam in qua
ordinate x est duarum dimentionum, (quia his
Ordinata Z ad duas quoque dimentiones ascendic) erie-
GuC = =- aX ]  =-0, leu V = 2a X = X, pTOprICtaS JI2
drarricis specialis AFID in qua AOF = AOFIL adeogi
hrabetur Fiourx proposicxe Guadratura.
In eotamen lacet ratiocinations e ipltus ertodi
defectus, quod omnes Curras in quibus Z ad duas di
mentiores (nec ultra) alcendit comparet curr una e
eadem