# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068202:0165
# Permalink to this reading: https://leibnizlegible.com/page/00068202:0165?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 83r, page id 00068202:0165
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 84v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068202&page=165
# Source image: https://digitale-sammlungen.gwlb.de/content/00068202/jpgs/default/00000165.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine
# Lines: 102 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

 pars 2. Excerplorum ex flusiam Mesolabi 1668 cditi. Analysi
dictum est de Iuventione tunum Medrarum proportionatium et s constructione
a
aequationum, pcubicarum sub latere tantum affirmative, ut a  bap
d
vel negative ad- b a p, bd vel   amplibole a -a3 + ba pb
affectarum, ac de Trisectione anguli. Jam omnia problemata solida, aut ad tres illas
formulas aut ad inesolabum et trisectionem anguli reduci queunt. Utile tamen fuerit.
expontre quomodo problemata ista solvi possnt ab etiam absus reductione. ati
aecte consideranti videtur primum omne problema solidtum sola anguli trises
ctiona tadnibita solvi posse videamus an non et omne problema solidum, sela
rallicis cubicae extractione solvi possit. Ait Tartesius ex Cardani arte Magna regulisus
scipionis Ferrei, si aequatio sit 7314 
A
ap
e
1aq, necesse esse, ut qqa sit
alioquin ex ea non posse extruhi radicem lubicam; sive aequatioem non
posse reddiex affecta poram. At huic malo videtur in promta remedium esse,
nntando incognitam in aliumque ponatur PG  2 o Ergo  Z AP, pro 7, substi-
tuatur ejus valor, fiet:
ponams
uqe jam q
atp
d2
p3
(ad Y + a9. vel y3 a3
3 
l.27
undq
peralari
ejus ratorem, suprae in vensum, ab
ap
si X
e
+ ap
 ap ca videamus an fieri possit, ut
_
 l si
+
a
P
mordvel u substituendo scilicet pro 4a
67 10
X4
2x de
d
ca 1 pena GporaP
dna
t
4
et habehimus
a
sive
L
ca
27 40
 aurpia c. et a. ponuutu tetmini positivi
6.
Et 0ca quod est absurdum lnde patet id
Eeri non posse,
multiplicationue, nec noivisione. At additione vel subtractione si rem experiamum,
redibit terminus secundus sublatus, ideoque arte in opus eritinquirendum an
res ita sadditione substractioneve vet etiam earum cum multiplicatione aut
dibisione commixtione h ibssit ut sublato postea secundo illo cermino, possit
desi deratus quadraali illius super allum cobum excesse, obtineri. Sed haec aliis
y.
inquilenda, nunc addo tantum, si
postremo:
a
pb
 
a
27
GN( Ergo aF
Ego fiet a
= 38C + 3p
e
p6
 posuissemus Q f1  y. habuissem
cg quod videamus an sit possibile Ergo
p. Ergo a F p = e.
rgo 
p- 3p C + 3pC = et substituendo, fiet.
a
 PC
pC
a+3e1 a
p - 2pe + et
= C
que +2pC
2pC +per
vel p E= f i sed cum ita arbitraria
nm
gis
quantitas ad. eo angerit, manfestum est ac quidem methodo nhil agi
Ergo +op C = 3pC P Cp C
sid alia videtur esse in promtu, cujus ope videntur omnia illa problemata reduci posse
ad Mesolabum; de quo alisi dissertatione separata. Nuc de constructione
problematum solidorum
a
du