# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0303
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0303?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 152r, page id 00068198:0303
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=303
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000303.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine
# Lines: 102 recognised, mean confidence 0.78
# 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.

BC, y
Ake a
bem
frax- xx = Z et sit nia
 sit Z = XV: a et Et v fit K vetAV 7dZ = CB(B)
Ex 1. et 2 fint 2ax - xx = XFBV: aa, seu At X = 24:, aatov, et
dx = - qa vdv: (laat o∞. Ergo crescente X decrescit v vel contra
o KF ad AB seu BH ad AB, fit curva LH, quam
ordinatima policande
in A tangat GH axi
et dx: do. Ergo GB+ + = +a vb: bl auton
Quaeritur Zudo (Z dx, fiet sydx =
quia autem
si seat rectar ult ABG applicetur e rectae a seu AK, nascens recta
VN erit ad VH seu AB, ut BG ad AK seu a
e Ergo
liaea describatur BTN) P N et asymptota ipsi AV, e
a et QAR P(N) q aequabitur Quadranti PXLP, et 2ona
rpp PRVNB aequatur Zouae PKBCD, infinttum autem
eliquam aequabitur scunsegmento ABCA quod quia  rinea
abst VN
asguplolos et lamen area mensurabilis
inc patet illud Sy xr dx =16 fd 16a (udv B
vaa
Zdx - 1 (adv. WP
aa(q dx  = 25. dv. vv. et a2
XX
aatve
alpoda
et generaliter 
e sy dx
en3 38-8 
a 25 = 2. a.
C
 quaeratur series
dx
2
1.d
a
(e  s. dv. v0 ss saatvo
-av. VV. PP. Zaat D
pZAX
s Zx
s
X
Cydx
aet
eu
ita ut e sint numeri progressionis Geo metricae duplae 1.2, 1, 2, 4 ek
si e sit 1 tunc desideratur
do. vD
setua tvo
(av. v
quae pendet a quadratura sirculi
Si e sit 4, desi quaeritur sVV. (a a +01) de abjolula
Por est momentum ipsius 
aato
aaave
 codc id ejusdem
vo do
daatvo
qudo
(2)aatvo
est inventinis cum sovdu
ex Dlu
circuli
d
Aox ax resisaaton
saaivo
BC + aacO = aaV seu vV - aa B +  = a-aa, seu
abso.
ente
- aa = a Laa-4c0co. Ergo seov deo, datur ex circuli atura
co qu quoco
2o Covdo vel suctem pro consideratione
20
neruenti ex qrea circuli et Hyperbolae quadratura simul
E) aa + vo
ac proinde et
si fsite et 12) 1+ VC 1+ 8 bV + C. em 11, e. ent. e 26
et
1.2 .
1.2
Hne in casu quo, e = t, et quo e= -2, pendent
a se invicem duae serces infinitae, seu altera ad
alteram reduci pb. quod actu ipso
praestandum
mo video
Px dariotiam absolute, est enim rax.
=2aaV:
AB. BG = VN
G4. 2 128
e
25
Nom
-
2
2-
expetura
co
2
aaten