# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0071
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0071?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 55, page id 799199311:0071
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=71
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000071.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 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.

AOROLOO. OSCTLLATOR.
E. led cujus cerminus superior er sic humilior puncto B, crit aHII. 
EXCLOIDE
PuS PeF arCUM NM majus tempore Per arcum B E F. Manifeltum . L2. hui
autem quod punctum etam propinquum lumi porest puncto B, u
differeltia dictorum remporum sic quamlibet exigua, ac pressset
minor ea qua cempus Z luperat tempus per arcum B F. Sit ilague
punctum N ita sumprum. Vnde quidem tempuS per N M MaS
cricrem porez, habebirque proinde ad dictum ccspus Pet BL, Cum
dimidia cleritare ex B O, minere rationem quam arcus P H ad
a rn
rectam FC. Habear eCam quam arcus L H ad rectam FC.
Quaque minor acus cycloidis B n’alcicudine, itemque minor
alticudine arcus circumferentia FL; _ addica ad F C una carum
partium cC, ducantur a punctis dirisionum rectae basi D C paral-
lelae, e ad tangentem B O TermInatX, PO, OK, dec; itemque à
puncto Crecta C5 quae secet crcloidem inv, circumferentiam in
n, quibulque in punctis ductxe parallela secant circumterentiam
PH, ab iis cangenres deorlum ducantur usque ad proximam qua
que parallelam, veluco a, F Z: Ouarum intima a puncto e ducta
Occurrar rectae Cs in Z. Similirer vero _ a pinctis, in quibus di-
etx parallela occurrunt ercloidi, ducantur toridem tansentes
deorlum, velut S a, Y =, ec. quarum intima, tangens nempe à
puncto E ducta, occurrat rectae C5 in R.
Oua isitur P Caequalis est F C alticudini arcus B E, cui aequalis
elt ex constructione alritudo arcus rm, erit d PC aequalis alcitu-
dini arcus N m. F.A aurem recta po ex constructione superior rer-
Dividatur jam F C in parces aequales PP, P O, ac. quarum una