# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0305
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0305?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 153r, page id 00068198:0305
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=305
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000305.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine
# Lines: 104 recognised, mean confidence 0.71
# 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.

sit radius Y, targens ATsit E, arcus AC sit a, erit a = L = t +
erit EY, + - F ∞, +5 Ler
a = f rrs dt 3rr
da = t -fF f.
(a+ Et
rrau
rit A7 oc = r: rX +BC- e ser.  Ergo fiet 1 =  ata ui
et fit a = Y et dt , Y  (XI X ) - Y (x - 2X
qu (r - X,
Et habetur s, aete qurX) Y (ErX. X - udx YY) (g CerCC XX)
pix
Cerp ). tfit (Yd, EKX X9- rA 2rx 
er L Ir (IYX- XX)
qurx)
seu a = sdx
I(ErX. XX)
quod etiam sic comprobatur
siu ut Y ad N(ErX- 7Y)
Porro
F - 21X + XX L 2YX -XK, Corx M)
da x da seu GC ad G1 seu ex ut KCad BC
A2Y
1. XY
c nt rr- (H) rH r. tL rttL1 r- tr-1
et rrdt = at Y: 2
rr+u
1
ri Ls -1
+
-
1
dl. Y: 2
seu et ris
r-t V- 1
seu a = 2, log (Y, 1 tea - X
possumus pro X poner 1. 2 et seu Z = r- x, fiet a 
itur rhonali quadation Hsom  d2. (3 2d2
X
atr- 2.
222 ZdZ etc quaeritur 12Z ubi
Ptuc. 11) oter. 21) Ar. Xd Arr 25)
Her. 24)
in ipsis D, A, B,, etc. potentiae ipsius Z crescunt in progressione Geometrica ubi B, C et
sequentes penent exquadratura circuli, A habetur absoluta quadratura, quaeritur qualinam
1(rr - 27)
are 1d
C0 escovori)
ZEE IFH
ferr. 2 jam seuda = ex Z dZ, t23 = 1 6Zd2 = = - r 4 (2) t dt
t
2d2
+(rr. 21)
27d2
serr. ZZ
rrtt. sem) pritt, Vorat) mitt ut
deo
rrr
Xa0=
sit t: Arr. 2) = r : Z rr. 22 = ZZCt: rr sit da - r f r dq t. Y rY aZ: t2
+ = frr- 23): Z fit l ZZ = rr - 22 seu
a = rs 4X
 Hine
12
dq
du
0
dco
c(coc. 12) Eo loco ru
14
1
Aler 22)
deo
Co (Cenr) coto
1
t
rrdtL
IFYtHC). Nr+Ht) rrett
d2
22
2Z-
Wrtt
Ser. 2 E F
d2
d
= - rt at
tl
er 22) rrtt
at = co deo
ACoco 1)
rr+ H =cocd
+dt = eo ded (t = cocd -rr.
Codeo 3
A(coco X1) Colo r
re  =  taBY HVOrr+ vI LB
rrfH) = (H) + 2tV + vv
+ - YY - WV, : 2V
rr+ r urov+v)
v
-2VV+V, eri messot 99xv
4 vV
Yr = 1rg = vy =
G9 -8
NY, 1-  - = - Yr
8, 8-1