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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 231v, page id 00068201:0462
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Resumumus
sit aequatio
y 2  tah
 al
V _ rah V 4 ael po. Multiplicetur per Y +P. fiet:
+alpr 7B.
sive per compendium: y +Py  ad V  alp o.
siuve y =F y Laa FI
et conferendo posterore partem cum quadruto alatere S al 4 e
quod est,
fal + repY F al
sit aequatio V X
+ e
Pa g+ ahy + ael
y + ng y3 +nh y + nlay
ng. 4 pah. + mae ( M
Y + g3
a V+ ng Y=
+rnanga
+ ma
surys + e, () n = y + ingereta + et
lan
eit ers 9+ ma. et er ug tenmarna
 = ah - a l
(nh, tatiu
JEmg  +2g
+ng
Ennigu
mt
+em a2
4an
 + alpr (+ ad
multiplicetur per n y + m. fiet:
Ergo ratix ahu
1. Vorim lar
sive+ahn
+inegr
+2mta
Jami dividendo aequationem pone: -aalix + agegu a nl
residua aequatio erit
hinc n y x F
qenca
2g
am
ea sinl pjma
an 17  l a +lah n m +  coti n
E 1 12 an 1 Xla2
g- gah. residua aequatio ert: Emae av
2gr. aah Zlahrt alin
sed ita ruisis invenietur valor ipsus  qui non nisi unia es quantitas aderque non nisi semel haberi pobest
meque adeo aequationem sic dividere licer:
adeoque:
Aliter pone 2m a   Platitnos +aete m
 in l.  uph n + At mn
residua aequatio est: = a ah f + 2 f9 Mlaei a 1 nY + lah +m. sed hoc quoque mulile
si sit m nhali  et am +an fiah, B maam anla. Dii sed hoc apte non fit
si ponus ngrut sivi nei mg. fiei n   m
sunt duae aequationes
aequatio:   d + at. sit _  ab p az. fiet. ytri
X 1 tul fe ponendo y tah paz. fier: yZ  al. pro Z pone (∞+ ra
fei:  ah p S∞ + ra. et y y alv + alt
v+ 
sint duae aequationes una ad para adeoque
S∞+ ra
V + F
alI B + 2a v+ + a  Lsv +ra= an-ah +
adeoque as  svrasera rab varsura ra
+av + eu l P alt. + 3al va Bt 4 a(3F3
Pahv sattr aa
2sraaliv 2srathtv
r’aahav +raat
siponam S+ alae +shro
si ponendo
Sed hoec nihili
Redeamus ad rem nostram, mutationem sclicet propositionis tructabilis in intractabilem vel contra.
sit aequatio: X ah Y + ael po. multiplicata per y  Pa dabit y Vtah caly 4 1a
sive. y + FY (  + at 1 ( ph
m -emnen + p m- n + ahi  dae 4 al p
+2ma -2 ma
addatur et p
auferatii 
m- n
+ ais
-Emn +n
+h.
pro -a l  ph. ponamus compendi causa a d
et pro y. ponamus m- n. fiet.
Addatur et auferatur 2mn. dissuaturque aequatio adscripto:
imn- 2mn rata, in duas, exquibus una erit;
m.+ 2mn + n  7 alp
sui fict. (+) i - n  p Y+ al Ressidua pratio erit.
mtamm ina sive mtne P Y + al
erit amn + pman tah p da. et multiplicata tata a hac aequatione refidua per m- n. fiet.
CFn
Hor ebut sinbi
substiluatur ejus valor praecedenti aequatione inventus, fiet: (4 Ps + al + p S+ al mon (4) ate t f al p7 da imun
ope hujus aequationis quaeramus valorem ipsius M, et fiet:
per compendium ma O n + 20
Dn +H3.
et fet 87 h ie B 7, 14D
(+)
n ppar  al n (4) alpr al
+dar
lat x z n
C da
OB 5+ al - da
itit
quotiens
+mal
datamtt
ly