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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 147r, page id 00068198:0293
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ubi c constans.
a Yp +ncop = C diffrrentiando F et ponendo log. p = g fiet
P dr t, Ygdeo trcodq + n deo + codn F nc coduo + ndq cocd = 0. sit co primaria
Et sit data aequatio 20 aa +21 a  dy + 221y + 23 dy + 24 9y = 0 et frat
ag ta, adeoque 20da F ast L + a ded tytdt coro + tcodeo cF
aagus. Hro
+ ca
L 32a + 3300
mutto in dato ydue, nam
si in explices p ut sequatur
assuetur ad C03
dy = . 31. 3naa co (+ 31. 33a∞geo) (B0le  a du 31. 3) a ce
sit dr - 2ea 4 l- rg at ∞ du 2
V = 30aa +31ac
24Hc0W
L 30. 37
3I. 3ac d
32.32aa + 2.32. 33ac0 + 33. 33c
sico cfidu  codco - 9
20. 32. 32 d + 2. 20. 32. 35c0 + 20. 33. 33 aaW + 21. 3132a deo
22 30. 32 aA 22. 39. 334Cd + 22. 31. 33441000 = 21. 30. 33.....
d31. guae co + d31. Zaoco + 31. 3a de (+ 31. 33 aa coduo
22, 31.320..
24. 330 a 1 224. 30. 31a c +24 31. 31 aa coc + 190. 3r  + dyo. 33 aco
sit y. a = 30 aa 1 3t ac0,., 32a + 33 ∞ fit 1y = - d32304 - 432. 31 a c0- d B 2aacoco 42. 33 à du - 31 3) aa codu)
= d33. 3040
sit X = ZF x = Z) tc et y - X Lam + nc et y = pr X = Af+gCo et y = a + HC
G XX l deo dy: dx = XX +yy,: aa
fiet  aass + 2afgCo + ggcoo + aahh  2ahk Co + KKCoC: Aa = adf id d + gduo:
a1h+ collX +K deo
fiit g9FKK = 0 et facta multoplicatione per qucem, fial aequatio compaabilis proposilae
Latia sed 94 +KR =0 quod involvit impossibile hoc libenter vilarem. Ergo faciamu
Y = af +ge0. et y = ah +Mco, et fint ac + quo 2afgco + ggar co
acitin 2aL +mmcoco
((+C0) d (af. + 910) - 1f. agc0) d (He
atiou, aa (stame ergo
+ Co
ineeru
et sit  9grm gg + kK = 0. seu K- g1. 1 et multiplucaudo
i
2d
N+ a
auf. Za dh + aota
aatin.
ra fg adh cd
rank
nahti
rafus dk CI + 2aF9 coduo
rap
- au ad: = aa dg co = aakdeo
ratK
per chalem, fi
porlo
fiato
se
le + dr--
h
=0
et 
Ergo )abent dk= ndu Ergo dk = dq: 4
Ob deo fi
=K, 55 - aa, f n 8. 3
ob cofit rtdn = K audus. in in habentur
ob E0 fit n = - lf et r = ef ob ida fit nq = 2fg. ob aco fit ndq = 2fydk
seu ndg = ngdk, fit dk = dg: 9 seu K = log. 4 seu q = br seu logp = b et p = (b
hab gergo omna in aeq. rp. +nop.c et fit jam n = 25g: 6. Et habemus omnia in
aq. rp + nco pd =C. supersunt deo et co. Ob da fit n + rg = K (As - aa) seu
fiet 2g 2fgl. b) + (e -f) b. = K CffB- aa) imdubetus. it ob c fit Ydg+ du = HdK. audus
 explicando _ (e- 5) dk b + d (2f9) = fdk = aa d K f. 1. sed si hinc tollamis 
ope praceventis, videtur oriti aequalio parum tractabilis
coparando aequalioni C