# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0576
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0576?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 288v, page id 00068194:0576
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 287r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=576
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000576.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 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.

Nimirum ob do Tuangula siniim DGY, et YX P, paleo esse 
jam PY + DZ r
PFa
17 Sd p seu 3-y
LLny.
. Jam PYV
A XY~ + X1
et X P a + a x vel rectius  DYro Gxtisir jam
D
et Se S. + 25X +X A  F adaF
+t
FPnfexta fax
item d-7  _
Eex supriori analogia: Sy e alisi autem hubuimus duy vel duy
S+2
5+x ra + x
fex 1t Sextatax
t  multiplicando utrobique per crucem, fiet
+x M a +X
illic: (de (+ Xd) + ad + a xd - yf - yX = ay + a yx (= d5 = dX) 1
dovniam ergo nulla apparet ratio tollendi s, ita ut circlu duo loca statum oriantur
alter ad civalum alter ad sectionem conicamdatam; ideoque ab aequatione in venta auferamus
signum radicale, fietque 8d ax Y A 4d a XV d + rax + aX + f + 2fX + X - s B
et pro  + f = 5 ponendo P ta hobebimus quadratum + 2aX + a X + afX + ta,
quaeremdamo, est, e et varsus contrahamus, pro +2a + 2f, ponemus 2 pb. et pro
a + 1, ponemus  fi et quarendum quadratum hujus quantitatis:
2. Lx + V X +ta +bX + ta, et quadrando X YbX + 2γLX
qc
2ba perpenult
aba
sive  sta  - b + ) - rec +ha ergo hoc B ec - 2ha
dl. o 2Ve
acr
ex renie
2ba
ha .
et proc sulstituerdo ejus valoren; ad difficles ilerumqvationes assurgemus; rectus ergo o pinor
sic termino X, utrobique subscribemus. o poterinus caetera velut similia etiamnum comporam
nam si similia tractentur similiter maneur similia: atque ita etia in ex imcognotis aliquam
..
u e
exteminis
ab habebium super numerariamii cta conferendo ponerdoque n, ex serminis atis
+c- 2YC p b sive c52
e+2Yb
et C 2bta + 2Cha
la
ergo   e + aV b ps ltotra 2ba lsta  adta fiet,
Exterminis 3tii 5
ae + 2Vbe 2b stra + atia item aecha +b V e -rec + tra
a et proti, subsituendo,  fiet equatio pior  e  LC +2A6S +AS
et postrior: AVed ip e rect
et utrobius tolle ado: signa poperais aeq
Erquex poperini abd ad ei naet = VEd b, pu 1 Dev + C. Elgo  b ess
eErgo C n -bra
iyt
ponatur dacta BX + CX r ha, fiet: aequatio factitia ) X - 1VCX 2+ Y S X + C X  e) Aequatio factitia. V + 26DD + 26YV
c- 2V e 1 . Y b. per Terr. 2. et +1 e tha patem. alt. + c .n - rec .. -ueta. 
s
a