# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/8109/text
# Catalogue record: 8109 — für Otto Mencke: pro D_no Menkenio
# Incipit: Cum vortices seu orbes fluidi deferentes plurimis mire plausibiles ant
# Date: 1690-10-12
# Sender: Leibniz — Addressee: Mencke, O.
# Akademie-Ausgabe: AA III,4 N. 281
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=8109&katnr=41817
# AA III,4: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068165
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 12
# Folios: Bl. 32 (from the shelfmark LH 35, 10, 12 Bl. 32): 2 pages, canvases 63–64, page ids 00068165:0063 to 00068165:0064
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068165&page=63
# Lines: 42 recognised on 2 of 2 pages, mean confidence 0.95
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 32r — 00068165:0063
# Source image: https://digitale-sammlungen.gwlb.de/content/00068165/jpgs/default/00000063.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
pro duo menkenio
umi vortices seu orbes fluidi deferentes
plurimis mire plansibiles antea sint
pisi, quod etam de si fatetur Hugenius
D. 160. dispiciendum erit in telligentibus
an non conservari nunc quoque possint
per  Leibnitiana de Circulatione Har
monra inventa in hisActis mense
Februario supeniori mruni publicata. Nes
inutile erit conferre quae Hugenius pariter et
Nentomes de aeris alteriusve medu resisten
tia dedere cum ejusdem argumenti demonstra
tionibus G. G. L in Actis januarii decti
anni 1b8, ubi adhuc amplius aliquid
exhideri lineaque ipsa propectonis etiam
cum decrementa velocitatum sunt in ratione
composita velocitatum et Elementorum
patus construi videtur Act. 1689.
. 4b. n quod salis difficile est et
nondum alibi praestitum. Ubi p. 44. artic
n. 3. potatum est in tali Hypothesi resisten
tias esse in ratione composita Elementorum
emporis et quadratarum velocitutum
dest sumendo ut fieri solet Elementam
temporis aequalia resistentias fore in
Und
duplicata ratione velocitatum
de25, DoC. 1D, Nr. L2

## Folio 32v — 00068165:0064
# Source image: https://digitale-sammlungen.gwlb.de/content/00068165/jpgs/default/00000064.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 14 lines, status machine
astparet, omnes istos larissimor viros sub
diversis expressionibueat easdem hypothet
cedaiburss
Apparebit etiam summam seme
a + a+ a La et. quam Hugenia
1.174 per quadratu ram Hyperbolo ex hibet
eleganter, ejus AAnalogiam cum quadratura
circuli feibnitiana in his Actis olim publicata
ossendis ex articuli 5. namens 4 et b,
Act: 1689 p.45) consequi qua annitare
operae prefium rsum est, cum jucundum
t et ad confirmationem successus
in re perplexa utile diversas Methodos
nidem conspirantes intuer