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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 103v, page id 00068198:0206
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de Troussomandis quadratur quitulibet in Taooites sale etiam
Methodus, stransfrmarum generaliter seit vatur dy: dx, ex X: a,
Codlntitatu vi tralis
_ non rationaliter sit jam aequatio Ac0C dy 5 + de D +  etc = 0
sit jam co = v. X.  e = v. X denique 1 = v. X ope aeq9. 3 et 4 a
et similium tollantur co, et, e et sinles ex aequ. 2, et epe aqus tollalo
fiet aeq. (6) et opel S tollatum y vel dy ex aequ. 
i aequ. 7.
 jam efficiendum quae duo aequationes debent coinrcidere inter se, id
e
ul siat, ope earum tollatur av, quod in aeq. 6 est sim plex cg.
et in ag. 7. assurget ad potentias fidt aequ. 8, in qua terunt V et X
Sed ea sic explicanda est, ut Sed tunc ordinariae ita assumtitiae su
9
ita sunt interpretandae ut haec aequatio ivt 
licebit scribere v aegg. 3, 4 5
 identica
est sea finite in definite
2o+2 V + ZEV etc
et ita simuliter de C, et y. ponendo  numeres significare formulas
rationales integras per X Ab ita postremo redhietur ad aequaonem, quae
ut dixfi identica esse debet
sile bicelit omna reducere ad solas tales
ded lo: de e: e+5, etc nam qu libet formula rationalis
in tales aliquol dividi pts
et pro  sifficit poin y: X, nam ope
agu. 3 et 5. habeript c -  yix et fiet
et ita porto
dy: dx = X: a data da co: co+ + de e: e 
C3
V
cd = y. X
2t
C y. x  et ila siplures sint in vy 2 Ejiter co et 
(4)
et et et ita tollendo ed et C, etc ex aeq. 2. per aeg. 3 et 4, et
habebitur 69. (3) Quae coinc aequivalere debet aequationi e
ea esse virtraliter identica, non quod sit comparabilis, sed quod
tollendo du: dx ope aequs. 1 et s, ubi in og. 5. dyex 
habetur valore ratimali, prodibit aequatio 16), in qua
erunt  et y et X solae, sed idantia identicae, seu
ita ut omnia destruantur nam alioqui problema non ad
Si
quadraturas sed ad absolatam  expressionem ordinariam
esset rederctum..
Singularis modus
cdincidentae qui
est interduas
differentiales
 aequatio
id curvam transcn
dentem, n
tollendo
nec
im
ferentialita
est oriri
inde aequadnem expusse
identicam seu lvanese
tem, quod nam alioque
ficut aequad ordinam
procurva, contia
hypothesin.