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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 266v, page id 00068201:0532
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X + cX = a d 1
X + e X - a f A
4 + c X - ad X
+C .. + ec .. = ead X
=af - afc, + a dt
X + m X-cohX + c l. + Co lm
mcoh.
mp e+ c. ad  at - coh - ec p, corlm
f
unde af 2 = cohaf = a’ ecf H con1_ + c3 lc
eritque e e 135 ao hras coC
cot + acf
ergo  superest ultima aequatio:
per quam= eaque - afc 7 co l - ecot - ccorh.
coile corte
sive - colc - C a sco l - etih
eaf ccoth
c)
eutque cp ecol s ecot a p iohaf- a le
ecot +af afhar con + aet
ubi poando fp bid aequatio qua quae rerentur fieret plana
et ipsa C. adhuc maneret arbitioria si ponamus e p, 0.
fiei . f cor l
af
asr cohat
conl
Unde cob  2 + ca haf Co - af
sonamus fCd p _8  sin fp 52
ce
et fiet Faciam  aes hae sin
fiet: c si faciamus
= a F c lY  ) a f aftic
Favendo F riaF, fet: FCL a FY ∞Thco,
quae aequatio conicuit datae.
FWH 8. Eg c17 8 + ha 8
co6 r  8 +h 8 cr
aequatio aX - cotX + cot
sit cdX B a. fict: Xp, d a.
et fiet: Wa oh a W -ahco 4
et at =  ah  + co l B. sit  c  8 a
tiei d ag3 = ah f a 1 + a31
et  e 
X + p bX + b s + rX + SX + t4 + P
radix partis posterioris.
PX= +CX + (Y + V
+ b..
cujus quadratum p X +2pX + 2p Sue X
erit c+ Y
+c2 tacsX+ r
+ b. et C r + 2rb + 
r + 2rb + b + Ep sv. V A ais
sive beF p v  b + arb2 + 6b, tarb r
+Ais, r + 2b + b
superest ad huc una aequatio:
r+ 2br + b C p + b 1 sep +
a() r+ b p, P t
1
1 vl
et faciendo Y + Lep d, fiet
et
+4 ps
64p v +dB
16 25
e qp d -RBS + 8es +
veto
site de - +s2 d + _st d - +7
Sp 16
Porest ergo d. haberi pro inventa,
Porio b 1 2Y d- v
et r +4Sd- vr + 4d- 4r, d e, p +2
aut si mavis. P F- r + av- ad n 2r sd- V
sive:
P-
2p ts, 1pt av - 3p 1, +r- rgr 18r d.
+ 16V - 32 nd + 1b d  16r d - 16r
vel compudi causa faciendo r + 4V + h,
pet: p F - P 2pt 21 - 8Yt . + ti - ohd + d p r d. guV
ecste dutendo: et rediucendo d uscendet ad gradum quantum
sed non est,Redo im ngtm polsctate atramque equadimem
simulo implere