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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2
# Folio 36r, page id 00068215:0071
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half.
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ita fit ut ubicunque eit y in uno loco eut co in altero ut ergo
tollamus y et co. fiet ypj. cc0. et rursus h y p
1+h
Ergo chp + h. Ergo h1 17 h. sive fier - Cypco. et rursus chysq.fco-hco
 sed inde fieret fro
Mirns et a causa vescio qua profectum, quod
ese s tam facile tolli non patitur Quid si sic agamus:
d 4
X X = 9X = r 110
ox + F
seu XTBS X, X 59X fr AEt
I(XX =5GX - fY
+X X - gx - rd
X +fXE 9X- f9X fr 
eu X. SX +qX + fGX + fr
ABX +5X+ tX + v
ex  es et
I X + Y
+ HX - haX - hb
-hy
TCX + dX + e
+ C0
Conferendo primum erit -hypco.  seu 
ponro fp- B. 91 s. re + + 65. Sed hoc podo comparatio
non procedit, fit enim novissime frpio
id est
=B+ - B25 ( V quod obtinere non est in potestate
deo haec denique praeclara, et exitum per se demonstrans succurrit via Ses penorm eo
qua omnium aequationum radices irrationales inveniuntur, hit ergo
aequalio  assuntitia X + fX + gX + hX + 1fV. ponatur XH ay + b
quo valore substi tuto habetur aequalio prolixa satis separata in Ccheda. dis + e
fol cu tit. Explicat aequationum 28 int. 1677. verum fol.
inde perspicio sufficere ut fiat ex payd.
10
et eri e 1. ideo fiet: a y + fa y +
sit jam aequatio data y + pyF qYtry+so
0
quia
ducatur illa in cy+ ly + my Bcry+
demonstrat, fier aequalio in qua ne
carens et ipsa termino secundo
quae e comparanda priori 4 et in
terminus secundus utrobique deest, supersunt
parandi, et primum tellendi termini
est omnes pleter y20 y3. y. y.y
numero 14. quod fiet ope
ponendo autem C ex a p 1.
convendet utratiae temuinus
L
a
ponendo b. et d0.   fest
ga y + hay +
Sequen
+)
10
carens secundo termino
ut pagnia praecedens
C y
 + PC y 8
+
20
+
e 
ecto X
l y. 8
eo primum convenit quode
e
ergo termini 20 ulii com
19
17
16 14 
Y. y Y Y BC. id
2
+ x
tollendi ergo sunt termini et
 
re
uca
L A
e
le
arbibrariarum eet nempe l. m. n et6V
quoniam video illis opus non esse
20
s
et restabunt tantum conferen
di termini y. y y. y. ex s
aequationibus 4 er 7. quod fiet
opc quatuor literarum f. g. h. 1.
cumque tot sint praecise literae in-
cognst
desedminatae assumtitiae, quot aequati
nes collatitiae, nullaque literarum nec
senec incognitarum) nec inse, nec in
alterum ducatur patet omnia sim–
plicio
rerum viam ostendente.
domissus quod
sominbesse ter.
minum secundo
in aequ. 7. sed
facile ramed
ide alibi