# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068103:0003
# Permalink to this reading: https://leibnizlegible.com/page/00068103:0003?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 8
# Folio 2r, page id 00068103:0003
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068103&page=3
# Source image: https://digitale-sammlungen.gwlb.de/content/00068103/jpgs/default/00000003.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.91
# 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.

Specimen utilitatis
Methodi novae Tangentrum
sive de maximis et minimis
publicavi in Actis
eiuditorum
sit curva EE talis naturae, ut aatis in recta AD velut axe
quatuor punctis
guatuor rectis Constantibus A. B. C. D et puncto curvae E ac
e summa
junctis AE, BE, CE, DEt quatuor solidorum sub ternis quibus
aeguetur
omtribus
libet summa rectis praedictis, aequaliso solido exequatuor invicem ductis
et data rectae G applicatis facto,
Constructio:
Exhibeantur
rectae octo
is positis.
 ex puncto dato E tangens ET ari occurrens in
ita educetur: ex E demittatur in axem perpendicularis EF
ponamus autem (facilitatis causa, ne signa mutare necesse sit) punctum F cadere inter A et l. X
prima secunda Tertia Quarta sauinta Sexta septima Octat
sit ad
E1
et ad
in ratione triplicata in rato triol
quarum.
G. ad
DE
G. ad
CE lBE
calculis
Hanc solutionem paucis) lineis invenio, per methodos autem publicata
quippequibus irrationales tolli opus est, credo vix aliquot diebus inventum iri et fortase
taedios nto fieri potest;  pone
mutiliter
Suquod non sine
AE
 signa, et pro summis
adhibendas differentias
certo modo sumtas
exaltatae iterum depressiones, qestigure gu, qui labor in aequationibus decimum longe gradum excedentibus
2
qualis ista foret, saepe immensus e
9+.
io debet
esse minor quam
Symma quatuor
netum recraru
ad set
EF (summam pntuo
X notandum tamen se
puunctum F cadat inter A et B
1
tum
Pesteriorum
mutanda nonminil esse