# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068532:0250
# Permalink to this reading: https://leibnizlegible.com/page/00068532:0250?run=74
# Title: Leibniz-Handschriften zur Physica LH 37, 3
# Folio 127v, page id 00068532:0250
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068532&page=250
# Source image: https://digitale-sammlungen.gwlb.de/content/00068532/jpgs/default/00000250.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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.

idemque patet de tribus aliis continuis
quibus cunque si plures secundum conditiones
initio dictas hujus articuli dictas assumantur
adeoque tota quotcunque series quotcunque
terminorum hujusmodi AF. AH. AL. etC
progressionis harmonicae erit g. E.. D.
(18) Hinc sequitur fractiones quatcunque
quorum numerator sit idem, nominatore
vero sint progressionis harmonicae, fore
arithmeticae; fore progressionis harmonicae
e
i
et
 m G
et (,.
sunt  enim hae fructiones recipioce proportio
nomina toribus ac proinde
nales totidem numeris propti progressio
nisu Arithmeticae, nempe
artic. praecidentem ipsae fractiones
sunt progressionis harmonicaem Est enim
ut 2 ad 
ut 3
ergo pe
ut 4 ad
ut 3 ad Z
et c.
jam per artic. praecedentem termini quotcum
ete.
totidem aricimeticis reciproce proportionare
sunt progressionis harmonica,
fractiones sunt progressionis latmonicae.
go hae