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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 214v, page id 00068195:0428
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B. applicata crruli quaesit
V + q. + bg 5
Et quadrando atque ordinando:
Et rursus quadrando utqu orduando
 y 103γ + 87y (11d
4 d
+ 469 - 849.  - l g
Aequatio arlitraria conferenda cum data
V X ap Y3 aerV as 
les Z 5I ap  - l q et herminum
20
27
3tium
polluta aequ. 3. et 4 habebitur sesse
vel ut valor dabentur ipsius l haberitur; 
Aeq.
Jam ut aliquando etiam explicetar e,  alio ivestiganda aequabo alium continer
valorem ipsius l, ope termini tertii, fietque:
4.D.
applicata sectionis
nempe h, et b. Gungatur aequationi primae, in qua etiam eaedem
duae incognitae inveniuntur, et habebitur earum determinatio. Sed malum
in eo est quod quomodicunque eas formem, problema semper. fit solidum,
seu Cubicum, nisi ponantur a p O - a5 O 7 0. un de vel C erit 10, quod
non contingit nisi sectio Conica data sit circulus; vel erit p   as. Quod efficere
videamus an sit in nostra potestate, Res redacitur ad hoc probloma
duac quantitates datas multiplicare ap et as multiplicare per aliam
quandam Y ita ut aep O st  as Z , Unde ae p O as 
sive herit Z  as quo facto omitti potest a nobis
sit
at Xp  arX a aequatio data, ponatur XX +Z
petque y Hy  at) an y Z a
sed inventio gusam Z
atr 2a17
ullature termini 3tii et ultrm
473
atze
94
X oxZ asq 24
XE 4XZ 6z. X2 47
problema est solidum. Se ilud faite esse patet, exhis  efficere est in aequatione
andem habeant qua ib tene
eandem habeant quant
saui pt
Resta In hac Aequatione manifastum est non nisi duas occurrere incognitas ett ex tommmo ultimo
X
X
to
Pray+.
y
datue
h+ ay
a V
tat
v
2
Exhis
ladc con D A p, o, rt su
2a + 2ah - 24 s obterua dim
 Aeq. 4. 4 Sa 5 O + 4 lg ob temium iltimiam
p9 b29
8
a25 = 4l9
aep
-
A4. 2.
ob terminum penul
Aequatio
un
quae  cum 5tâ conferenda est
Aequatio
db
+ 40 ah
+2 20h