# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0104
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0104?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 52v, page id 00068073:0104
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=104
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000104.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 87 lines, status machine
# Lines: 87 recognised, mean confidence 0.79
# 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.

Cetragonismus vel AB
c
partcaluis i aequ .
maximil sad arcum
sit tangens. Td vel BC sit ratio secantis
Ec alia curva anatus C sit punctum
rationer maximae lalitudinis seu BC maxima ordinata. Constat
secantis)
adarem quaeritur alia curva analytica EC, cujus eadem sit
maxima ordinata BC.
costensum est in casu maximae rationis secantis ad arcum, arcum aequari
as
tangenti complementi
sit tangens +. erit radius 
prit tan secans S1 + +2. tangens complementi erit
in casu maximae  erit BC aequo 1+FC, 
L
1
+
ergr
vel erit Beugo
BC aequ. +1i++ Quaeritur jam alia curva eaque analytica
cujus incoximu ordinata sit + V1+FV ea enim in ejus enim
inventi puncto B, seu recta AB aequ. t. e dabitur et punctum C ubi
curvam De transcendentem seu non nanalyticam tangit: adeoque habebitur
illa trangens +. cdius crcus est tangenti complementi aequalis
ruce ergo novum genus problematum
quod est quasi specialior
methodus tangentium inversa, invenore  relationem curva
analyticam ordinatarum  curvae
maximam esse +11+F2
V ad F, Josito
et
sit
vea
V aequo t
1+ E2
a  + bv + cv + dB ete aequ. ve
sit A ceq C aet incasrum aequ. vat + +do. sad est in casus
lis
sit
maximae a ut aequ. v at Da Datur porro
+Si eadem in casu
maximae pariter e alio pendet enim ex ordinata parbol q momenti
hyperbolae. Nara sit GFaequ. 1 et FH aqu. f. erit GHaequ. 1++
2
aequ. HL erit curva sit denique FM. aequ. GF in
recta GFM e Et erit curva ML Hyperbola cuius
vertex pcenta G. axis MN. jam +sit
erit momentum ipsarum, AL ex axe. seu ductarum in
distantias FH. Id autem momentam invenitur
sum omnimu momentorum omnim aL, seu summa
a
aequ. Z
Ergo + aequo Z7-1 aequ. NL. quorum dimidia quadrata 22-
a 1
L p e
seu ab
1+ 12-
5
9 sitt
m
 11+ quae auferantu
fSi+t + 1Vi+t
+ Si + F set S1+ f2 aequ. 7. erit dzue aeque
fr
F A
restabit momentum figurae FHLM. quaesitum. Est
3
quorum summa aequ. - 2. aequ
ab F2_q ZI
erit aequ.
et
alia ratione inventa momento omnium su Nam glimidius
dimidiorum vadratorum NL anteratur rectanguli
autem
E + 3F-
X
5
sitto quod
2
L C
eurgo fiet
L aequ. +Z. quod an verum videumus
set
Tericatus per
BhApril1b7g.