# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0112
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0112?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 56v, page id 00068073:0112
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 57r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=112
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000112.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.85
# 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 jam C idem quod 2.
ficil.
(aequ. 14 2 + - 1 f + 2 f- f 4 +  p0 Mt
Sinis sit  constat esse V aequ. Y
32
SEu aego
 V aequ. t K posito raequ 1.
NIt
et H aqu. P
Ergo ( aqu. )+K. seu S5 aqu. S
 Ergo
+
Sit s
rt
tancerento
aequalis partione lndicae
i sub radii relicudine
cum sit (aequ. 1+ E + -  f4 + 3+6 -E
a aequ + tL
a aequ +F
5
+ tc
+ 2++
t2X
deterhendo e1 - + + + - t - 1. f2
s-a dabit
Kaego.
11+ 
+ (~F aequis 1t t aqu. xa aequ X
Sed his missis ponendo tr 1.
et
8
6
2 1+F2
Quantur an sit quantilas affirmativa, seu an semper e a
quando Fr 1. Videtur demonstrari posse quod sic
Quando ostendi potest s calculo generali seluper diu serie
termationi praecedens majus nemativo sequent
aerdum setantis super sr adius
sum
arertum est antisatet excessindiferentiam a ran
non
ebi esse
initio esse infinite parvam sub infinitam, sub finem
etiam infinilitu in medio finitam, itaque necesse est
alibi primum R decrescere mox iterum frescere itaque
assignari pol debebit arcus ubiest in aliquis secans
ubi
ere
desinit dcrescere, et iterum incipit crescere
ratio saferentia secantis et arcus. ide est de ratione
ves
secantis ad arcum. Et notandum Ulud est, rationem
et differentium inminiu concurrere, seu cum minimus
es differentia logarithuotum minima est, etiam
differentiam Nmmerorum Minimam esse.
L
id ergo agitur ut quaeramus modum definiendi
arcum
positione illam arcum, qui ad secantem ad
quem secans minimam habet rationem
Quod ut sat quelamus alias duas quantitates
Ordinetespondente quarum vel ratio vel differentia his duabus
secanti et ircui: easque etiam arm positione Recuti
quae sint ita inter se, ut cum ratios
Rerentia
secantis et arcusderescit
ratio charum duatum quantitatum
etiam decrescat, et cuymisus rescit illa, etiam hac erescat.
sint 
et Vdem quod
serierum in unam
compositarum est
decrescens