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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 77v, page id 00068198:0154
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videndum an similiter tres aequ. ut .. 4 +. ZF. v + 1. dr. d tude
dedali possent ad tres quae sint revera duae nempe it. co+.. V +.. d +. d y
explicando co per _ βy + 1Z + dV, et  per Ey+Z + V
Et fient tres aequationes, in quarum qualibet aliqua ex differentialiti
ab sit. Eunt arbitrariae B, V, SiE, B, itam tres, p, q
1
mo sic potius; assumatur B9 + Ba +  + Bdy + BVdZ + ddv, tales
qq assumentur tre
aBy axus ddb
et Maeterea literae tres p, 9,Y, pro muctiplicardis 8gus cognitis, habebumque
 arbitrarias 12. comparationes autem instituenda sunt
jiam 5gque. quarum quae libet careat una differentiali, seu habet
duabus differentialibus una tantum retenta, itaque quaelibet
es
quatio habebit quatuor comparationes, et fiunt comparationes 12
In de  transcundum
inde ope quatu Et res videtur
pergamus, id quatuor aequationes quatuor literatum praectar
ucredere.
per 4 laegu. tractabiles, habebimus ac 16 + 4,  4 (4+1
feras, seu 20 literarias, et totidem eliaqe (obtentis aequa
as
ionibus in quibus una silum supersit differentialis etiam 20
comparationes. Et hoc ita in infinitum aderet numerus
suficiens
sd quia vereor ne nimium dividatur, seu incognito
ninus, vis forta aliter agi pt hoc
enim esset revera cquamlibet reducere ad simplicem,
permisceantur
re
prinam tractabilem
Ergo sic potigses.
..g  (y + YZ + B + Bay + Vaqr S de
hac est) lBys A1Z i v
revera
duarum
6
AV
AY 102 un
1+G emm
Etue + DdZ+ A dr
Co +. +. deo +. de
Et hoc ter habebium assumtilias novem
qaeranus denit aegus quam
quaelibet caret una differenti
atodecim, seu nempetres ex
quavis aequatione et ad huuctres ex nl pli
cation prodibunt assumtitie 21.  Et faciendo bres
simil ergo hoc incilile
equationes, quau quelibet careat una differentiali
15. Et ila semperplures quam opus
otur non esse opus tot arlibus et fier fucilius, in pri
erunt comparationes
B har sic seuti poluisset prima aeqvatio.
tex comparana datae per p multiplicata
let. n l- f9.)
M = ph: g V = pg.
β= per pgit il ps B. Pe
 P p9d 1F - 09. l
U
s
sl24
Bty + BMZ + Ialys +)moler.
Daly JamZ
pe y+ psZ pdu tiphitZ .
ph. m
P9a
companudo
9.h seu n = Ele
et lm
ps ((gi al Dam B Y am
dl + t  )hl.C
9), ubi connescit D
in 
Set probler
E redit ad d et bonis faciamus esse constantem quod ntfaltor semper
nl:9
ag  n pC et
ut sit bis sed hoc modo dtot simul possent
in
sedhic efficiendum est
ais re ae. teno postathra est
methodus Hadc ata us