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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 156v, page id 00068200:0314
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 157r); this page is its left half.
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idit
q, deber esse  quarato cuidam
o  C aside CA - 3lC 4 4lE B quadrato, seu pro
ligren. Ha 
Ergo resimito potius aequatione  superiore, quia rec eodem redx et pro b ponendo e.
de
fiet: = el ele 1 +C y  BC l et pro e, ponendo l +f,
fet Y(1 - s +B + 2(7   4 y + afy- 8B +851
sive 72 + 1f
HyLY + 3y + 49y + 16 1Y +8 lg. et pudi disinttas
reit ponendoque gB ~ 2Y. destructis desmiendis supest srtor fiereta
71 d6 ly 27  161 - 16 ty. fieresque  7C   y  vel 1x, 7Y. qud
male evenit, ideoque alia ratione opus est.
-2el +  le rey rel
e
esi _rfgg et _ N + m Unde
d
explivetur. C pariter et Y, fiatque
a
12 = 2f(  -g + 1 + 2fgl + g B H af 8s + asu + 495 a sgt n  gni
eta
∞8fl - 8gl2
excerpamus jum +g -∞. .. 8gfm + 49m, quae ut se tollant fen t sint 4) 0
seu ut g i sit e 8fm + 4 m patet tantum m, sumata pro arlitua versi
grata sumendam po arbituo H et tamue in locum m substituatur
ejus valor, gl- 8fm Quaerenda hic et inventio, efficiendi u
ita inserendi unam aequationem in alteram, uta si un satis-
fiat, etiam alteri satisfiat seu ut alteri quoque
Esto aequatio V erge a - X et yb + y n X + db
mon sic potius 2fgl +  gt.  af + 8yfm +4gm + ef s
hore aliud compendium, si L V rclo + le etc 4ey etc.
S
V
Ergo  +C Y 8el + 2C l - le ⊓ _, 
si praae  substituamus e Ex his intelligitur difficultatem omnem in eo esse,
Litar
quando Quadrata non pura, sed radicibus in a invicem affecta sunt lateribus
 et tollamus pro N, punc yl ergo
Nec fortasse abter isia tractari possen,  quam it dicatur l2 - 2el  le 4+ del esse y
ergo pro e, pontetdo f, fiet ( - 2 f ( + f2 185
e f  - 2 52
40
dd
HC quadcato, 
sigsle gato ditr puitoque D tt t, pt iols erof   tlpo
t q
a
Mg.
fa + adlf + disa
Ergo 12 - 25 12
Ergo 
1d0q - (+
jer
Ergo f.dCd
porendo ergo d r g  erit C, + bf(2
Eit porendo
ex
1
81L 2d1
d
ju
+ 921
F1 gra
Ergo 14 165 2 ( H V mg  29 nt + no jo
jamque
, et ponendo n +, 39 siet  ponatur n 113
tunc loco 2g2n, habebimus 6g 1 on ferenda cum
6f ( 1 ponentoque Guq
quS + f(G+ qu
6 f. 1252
qusa tret aequatio (x Ergo (
v e proinde (4 12 A P9+ qp + 3
e 6st + nfi + 4el+
t2
P. et q. pro arbitrio determinatur A dergo et f et per p elum n., ex et pe p.g Selu 9. et hinc
de
e
tantis ergd. . P,
e per f. ex d cuum u
et per potetum ert. Bavius ve Ex et a hlen f prsiio e eige b pet H. sit pero q. ct b puo ralitio tacetu X.