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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 8v, page id 00067996:0016
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2cox l - 200 l
at-co  elay. (1)
sive 2co Xl - col  al - co2  13y. a (2)
Consideretur et etequatio D, nempe nempe aI p 4Xy Cd + col ()
ulude rurous A i resolutio;
+n
(4
 po at data in g est  a f, al n. Cx  arvit
um puo ac inseratur ejus va lor inventus ex aeq. 4, fiet:
260  Xt -col   c0 aXyHI, L. y sed hoc male rediret
enim aequatio C
quid ergo: P 0) po  ponam
Ponamus 200Xl - 26  5al sco
et ex aeg. 1. vel. 2. fiet:
juugen
1- v.Aeg. (6)
Acq 
(Ex Aeq. (2) ettem aius fieri potest analogi sinus:
200 XI  aty a- al l.y p co  yd Mu
fingamus a H fO B olay
oty (5)
et ex aeq. 7. fict:  2x ape yut
2pX - al p, pp ot
Resumantur aequationes C et D.
ejus valore
et ex iis elidatur primum Co, substituto
2 t nimirum in aeq. 3. nvel d, fiet:
Satiffactum rari
Aeg. (9)
2xy Co1 col AXyp = 4Xy e + pl - pyl (Aeq. 10)
Idem fiat  in Aeq. 1. quae tenebit lacum Aequationis D. facta scilicet
ex ipsa et D.. Sufficit enim ipsis Aequationi 2. et D. sat vel 1. et 3.
Salisfieri ut fiat Aequationi O et D.
aliquor
At aequationi Est enim Regula
generalis, si satisfiat dubus aequationibus factis ex totidem propositis
etiam ipsis propositis est satisfactum. Satis factum autem est
Aequationi 2. vel 7. per aequationem supposita aequatione 8.
stequation
et fiunt tres aequationes novae, quibus salisfaciendum est, D vel 3. aeq
Aequationi 8, et aequationi 9.
Satisfit autem aequationi
PYHPC+ uoties aliqua alicuus literae ejus ope reperitur valor puag aliqua
indep  hitera ejus ope eliditur. In numeris opus est literae illis valorem
+2mpl + purum obtineri
Elidi autem potest litera co, ope aquationis 8.
quod fit facta aequatione 10, ex arq. 3. restant ergo duae
aquationes
incognitas
9, et 10. quibus est satis faciendum, per tres
pro _ al in aeq (9). substituatur ejus vator
ex Aeq.) 10. fiet: 2pXV 
exx
07F
Ary: lar  Py, 2Xy C. L.3
 Aq (11)
V. (teg. v et ferex Aeq. a. talis iteu (13, ut, = y p (Exy +l) ary. Ary
Et ex Acq 9. fiet Aey (14)
fui Aeg. (18) 2Y
H1
aprl prt al pl- y
vonamus B, st.
na gl. atey (15) fur ex Aeg. 14. sequens 
1
n
v
e
XP faciamus Aeq. (17) n B pl. vel - a(3 Opl ly:
u
DL P + Y. Hoc ratore ipsius p. Inferto in aequatione 13, fiet
aequationum eyeoter amutu 19 pes B puur, fer. -2rl + βB14 (37 1, β0 et l + βyl ry + aBr
VOP3. H0. excerpantur termini in quicus 8, fiet itegt 21) Byl +)L
fimet palorem ipsius V. et residua erit aequatio (L2) in qua valom Y inventus insert
6Br
V y1 eync
Bry+VaB310. cujus aquati onis ope invemetur Y
orese equatum
(G -(2, l + et + yl (2Yy) +Dy + y (9ry- ary mellipertum aequatu
+)al +Vop
quatio quae
Pone Xp+
arl
sequitur enim ex Ponamus Lal3
Y posse proavitu
nesi quod est
surdum
Latenmirabile tcys. 9
quiddam in hac.
multiplicatasu
Carci  tae
tari calculo sunt Aeq (16) 2rX - n1
ione