# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0049
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0049?run=74
# Title: [Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 33, page id 799199311:0049
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=49
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000049.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.90
# 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.

IOROFOG. OSCILLATOR
empus descensus per planum a c ad tempus eceus pet AB
esscuelongitude
ACad AD. FA enim cempusper a C aequale tem
Pori uorus aequabilis per candem A c, cur cue dimidia
ejus quu acquiritur calu per a CF. Similiter rem PUS DCt C Y L. 1).
AYLUM.
aquale lepori uS dscae3 
leritare ejus qua acquiritur casu per a D. P. A aurem haec dimidia
celericas illi dimidix celexitati aqualis F, ideo que dictum tempus eroP. prcc
morus aequabilis per a C, ad rempus motus aequabilis per AD, erit
uc A C ad A D. Frso et tempora lingulis iltis equalia, nimirum
cempus descensus per ac, ad tempus delcensus per D, candem
rationem habebune, nempe quam ac ad A D. Quod erar demon-
Ctrandum.
Fodem modo ostendetur e tempus delcensus per a C, ad cem-
pus calus per a B perpendicularem, eNeut a C ad a B longicudine.
OeOstTTO YITI.
Le altitudine eaaem descendat mobile continuato motu
Per quodoit de qualibet plana conticua, utcunque incli-
nata; semper eandem in fine velocitatem acquiret, quae ni-
mirum aequalis erit ei quam acquireret cadendo perpendicu-
lariter ex pari altitudine.
Sint plana contisua A B, BC, CD, quOrUM TerMInUS A, Supra
horizoncalem lineam D F per infimum cerminum D ductam, al
ricudinem habeat quanta est perpendicularis F. F. descendatque
mobile per plana illa ab a ulque in D. Dico in D eam velocita-
tem habiturum quam, ex P cadens, haberet in F.
Beoducta enim er occumtalicela axin 0. lem que v eproducla