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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 39v, page id 00068197:0078
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Tollamuus terminum strimum et 2dum sit mt abm Faac = ∞, etfiat misus hamun t. ralm sa autmi dam
et fiet n = ZabpNV + 3aa cp,:, 3amm + aab
ut is fiat faclior, efficiomus ut in haberi possit rationaliter. sit
productum ex his
tubus X+a b X + b, X+C, X - b - C, fiet X X +bCX = bbc seu X - bb X = bbc
sit jam d = dx S(X (b- cc abd X = bbc - bcc) fiat 9X -
X- + my F 3mmanyy + 3 maanny + an
ax - bbg
es)
=bb2pyy = bb pp Y - bbppat
-li al ivan y
C
= bb = bcc
mytan
= bc
= bc
= bec
=bc protollendo termino summo
=cC
:y + 3ppy +3Ppy+ p sit m - bb m - bbc = 0. sit M = - b
bcc
resuodt non fiet - b +b, - bbc
e
+ccb = bcc
+ cbb
bac bec pro tollendo termino secundo, explicata puius m
Lbbc = - bbc p - bbc 3pgy boc 3ppy - bbc p
fint 3bban + 267  2pb  2p bcat 2pbbcF bb an) - cc an - bc atr - (2p bbc (3pbcc =5
bu bcc -bec
bib ce pb (2bb + bc+ CC): (2bb - bc - cc) t a2 =  - bp et
seu an
fet X -
-by- bp quod non licet
9+Fyrp
Videndum an in x. bbx bbc) LEat face
hac
X = ingytnus. Et plicando assurgetur ad
Redeamus ad (X+ asx + aaq). Et sit fiet
X= ny + 3mm y. ny +3mmy ap
asx = at) rasuys y
 quey+4)
+3m yynngy + bmyynapus +3myu aape
af q +6afnyqqyus + tagnus qy + afgrusa
+p 5t +aap qu +6apq9y + 447
y +6i qt. 49 99 120 )
aug- aa9) faagrq + 15aagy49 + 20 aags  + 15 aagyy 9 + 6 aagu quaag 4
6
ut tollanta binos terminos summos ei binosimos F. Ad
Et M Sangu et n = Ea9g.
et 44 = a sp: g. seu q = rcasgp): 9, et fit n - P 2Vafop: Sagg + f
supicrest at iu + at Jnqui  fpp 164 - 5. se Y atp
Ex 3sfit 15 fit
g
fap +69 a sP = 0 sed it ermesit
M = aag n = - 6 aa94. 3a4a99 +aa7
L. fpO. H( Ca∞ +(- af9p):g. Ex y fit 69. 644+ -6fp + f n + 4 afP = 0
seu 2afp = fn: 9)  (- afgp) et fit n = 2a9p:  (- af9p)
jam expriore ipsus mr valore, explicando ibi q. fit n = 6aa rF afgp):, 3aaragq + aas
sed hos duos ipsius n valores aequando evanescit p
EX yt fit
a
38 10 15
410 20