# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0473
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0473?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 239r, page id 00068196:0473
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=473
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000473.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 133 lines, status machine
# Lines: 133 recognised, mean confidence 0.72
# 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.

6 Tulii 16-
E
portiv arcus aeculi
1) ejusda Erit N et ratio dicuu radiu adquadrantem Y. fiet
NR  erta sursus quia ATB, _ A= +RT Y AM
AVMZ
JY AMF
M
est autem MP ordinata quadratrici ad EBarcum circuli, ut radius ad quadrantem q
ergo MP
B
hot AM
ettus.
 seu MPp, Xa
q L2
et AM m
Y - ra
ed un nihib opus,
DRH
ar
+ y9
d
n a
AP autem absussa circuli ex
centro sit _B.
. Estantem 
uq
du.
NR p TaY.
q
Mp
 PkDa differentia abscissae differenti ordinatae
circuli
quadraticis
seu
a
1I
AM
Odinata quadratricis
ar MP.
a
dy
rart
192
e
2
unde culculus
institui potest
ut apparent am
consentiar
De
Mei
AK
quaerenda est la RM
meri Za. APNZ
NR
seu RM r-
en
9
RM, ida - 
ga
1
Aa2
p
 . et RMp, (∞ D F, NR
Mp
+yq sia
I
p
qu
in
a+
a
na
cla
At
Mp
 ap MPX p
Ergo Y dne dx
a Ego LY
e
Ergo APp ar rya
at videamus quod circa dimensionem areae et currae quadantricis dici
possit hae
e
siga
xG
mp sedu
me1 F 1 Egy  nem
Oucatur M in MP. ar mF
differentia abscissae in ordinatam
habebitur Elementum areae quadratricis, cujus summa dat ipsam quadratricis arean
seu fiet rectangulum RMP p, Bda
qu l
da + y da
92
detur summa, habebitur area quadratricis, et
ex
1s
De quadratura quadratricis
proquadratiice respicefiguram hurrovii UG. in rectionibus Geo metraris
pag. 83. et ques ascripsi in figura
sit 1
e
VACY
(1 Sydx aena ostenduam)
a - ra + i) yda
quia
3qu
EF pita
DEpidus 
ax.
1
u
Vr st
Anius quantitatis
Ergo dx  YamP X dAP
ergo fiet: n nou cintem
Sirx
superest ergo quaerenda quantatus
quantibas:  quaeratur da. seu F
 AFHY
. Ergo da p dus
Xry
Ergo y da pris dy nvel posito X p X-g
a
Ergo daypu rx Ergo da p rydx
r- y2
Ergo yda  Py x est autem Pyax area circuliiris
si
quad rutricis
datur ergo quadratura Quadraticis. ex data circulissacipatura
id es ex supposita psiusmet descriptione