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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 126r, page id 00068201:0251
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sit aequactio 3  - _ + aer rio multiplicetur per 3 + C0. fici y  - qrY 4 aery
yH = 10 ~ C - 3 s0 de + l
y N 9e.. . fd. .. 2fgde
2f1 ...
Pe 8 fade ..
ryte
in sde
4fgde
+61ge
+ 12 fg deb
+4f3
Cd pa
ayate
C3y p 3sqdet
3f lp
3gales
Sdet
odet
6 fladeh
Bsgdet
3fl det
39 l’ et
29l
3fgde ...
+de
+atode
+6650
12tgdet
+ 49 13
3sl9de
391fde
rco   -aq. +c0aer.
10
Hos jam valores inserendo in aequatione nostra, destmendarm in irrationalium et aequandim
rationalium Causa habebimus tres aequationes subsidiarias, literas autem ubi
traris, indeterminatus, d. c. f. g. h. l. n. t numero octo, quare ex
his sex: f. g. h. l. m. + possunt sumi quinque pro arbitrio, tantum evitandam
est, cavendum ne , et y coincidant. Quoniam ergo tot sunt arbitrariae,
utile, erit calculi ad contrahendicausa, ut ponamus lr 0.
qui factohas tres aequationes habebimus:
1) f d’e +459 de a y + yfgdes a f  ch r9 deh r3fgd et- 4ea
+aerf, egutea- q sea t, + aerh 10
2) ge de + 4f9d ea, +3 fydema +f det n det nsydela, 4Fda
targs, agfhta- 1gua 3 +art
4659de  6f 9 d’e, f d’epa +9 depa +2f9d eha 4359deta, 2459dea
+121f9de
4fd et
 + ar 
Ponendo jam etiam  p o. tum ex aeq. 3. frex haec:
e6f9de + 3 deha +3 de ta - 297 42
et der 24 ae _= inuex 1. der) +494a e - a rf
659 +3 ha + 3ta
+ artha. -air+
e 4f9a d
524.
 qegt a.  aer h p, ex vdis
frd + 4fgac
s3h. dE.
3fgta.
3F9tra.  Ergo ex primo et scundo valore de, fier.
=ars 6s9 - aertibtq - 29 a
s
3h
4f9a2 qae = quorars
77.
grh...  3tia
3f gta...
12fa 6f9 d = a rg 59
3la .
atha gi:
=2qa afga.
Efgna.
quotae 65g
3ha V 829ag
= art 6fg
3s9des
3flda
39l’
t9det
soh
fdet
9det
6f det
 ++45 a d- arus
Eup ex
agiacit
tarest
92de p
6. slgdeB
3f9d et
3571d eh
a3
3gldeh
359deb
fl det
red
Et ruisus conferendo valores de, primum et ultimum fiet:
Quos duos ipsius e valores
inter se aequando habebimus
Compendii autem causa appellando.
Cs.  6sy+ 3ah +3ta aB
4f9la +g2h +3 fgtap a h
etiam valorem ipsius d
4fga + f2t + 3fgta ( a57
eritque a  Ca5 p 145 lati
qest
dei = arf, a Z, 24 g
vaaet
=art. ha 24 a  a
49 a a 3
-99ta, aZ
+ aert 7a 19 a, a h
qugra a 8
qgta, a X
arg, 3a, 24033
frg a fh s
Fr 2 53G
4f a da, 14 a
A . 190 2 429u. det
qfh a, 3a
q’a, a35
qua a si
a a3G
qug ae a B
qotaat
qua at
2qg’ a, aB
quyta, at