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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 1r, page id 00068196:0001
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seutamentum
pro quadraturis culculo ad pariciores reducendis
exg. sit dy eqo dx 
+exxdus
 seu nadus. aequ aa de + bxx ax
aa +cxx
iC
Omittamus ax. et quasi constantem, et videamus an ita possimus explicare dus
secundum X ut destrnantur termini, quibus una in cognita ducitur in aliam
acramus du s aeq compositam ulcunque ex co et X, faciimm vig. dyaegoao ded
deo
ergo fiet: a loco aequ aa + bXX dx. Erg seu fier
ded
ca aequ Saa +bex dx Ergo f  coco aequ Saa +bxx do
sed nihil hinc
saater
quid si ponamus dari relationem inter ax et dy. sine assumto
extimseco X, seu esse vg. dx + dus +E dx dys aeq
video id fieri non posse, sed oriti obsurdum uni
haberetur quantitas dx per mens datus
dy
kes tota eoredit set aequatio ex dx. dus. X utcunque
soposita; set pro y sumatur quantitas uitcunue composita ex
eo et X. et pro du substituatur ejus valor, donee et denius
ita explicetur, ut nec ex ducatur in du, nec X in d nec yui dx
nas
et redtucta res erit ad meras quadraturas simplices.
quarum qualibet est unius vinculi nulliusque nominatoris
L
Ie Saa -xx dx aequ (soagyys dus
ita viy. curpa
quae sita penderet ex quadratum circuli et Hyperbolae.
Jeneralius sit dus aequ ex saa +bx
et
aa+ ex
fingatuur aequalio  X. y. Z. co. v. etc quotlibet et differentiale
ipsarum Z. co. v. seu _, az. deo. du. sint qualt, oportet
ut prodent quod desideratia differentialis subtatis ipsis e. co
 a +X
sempor reduci posse videtur ad rationalem seu fingi
potent talis valor rationalis, ipsius X, ut a3+B sit extrahibilis
Hinc videtur perdenoi posse ad Methoduma ulcuique quo