# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0074
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0074?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 58, page id 799199311:0074
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=74
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000074.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.89
# 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.

58
CHTRISTLANI AVGENII
Or norum Ouodsi cora cycloidis caritas perfecta ponatur, constar mobi-
le, pollguam per arcum B a descenderit, inde continuato mocu
axroP. 3. unj. per alcerum ipsi xqualem arcum ascenturum F, acque in eo cal
ProP.  huj. tundem temporis arque descendendo consumprurum r. Dcinde
CHCLOTDE.
erc alingularum ejulmodi recipro
cacionuu inmas luspute Ciblas arcubus peractarum, cem
pora Fore ad tempus calus perpendicularis per axem D A, LICUE
circumterentia circuli cora ad diametrum luam.
TIO XX VI.
dem posiris. si ducatur insuper recta horiz ontalis HL qua
arc B a secet in 2, circumferentiam vero F. H a in H:
dico tempas per ancum , dd tempus per arcum I a post BI,
eam rationem habere quam arcus circumferentia FH ad HI A.
Occurrar enim recta H Frangenti B C in R, axi D A in L. FA ita-
quecempus per arcum B a, ad cempus motus x quabilis per Bccum
erop. 24 huj. Celeritate dimidia Cx BC, SICUF ArCUS F er A ad rectam F A F. TCm-
pus aurem dicti mocus xquabilis per B C, est ad tempus motus
aquabilis per Bu, cum eadem celeritare dimidia ex B6, sICuFBC
ad B _longitudine, hoc cst, LICuEF A ad FL. FFrurlus cempusmo.
cus aequabilis, cum dicta celeritate, per B K, ad rempus Per at-
coP. 29. huj. Cu B F, LICUF P L ad arcum F H F. IgItUF ex XQuO eriE tempuS
Per arCUIM B A ad FeMpUS PeF B F, UE arCUS F H A ad F E. FC divi-
dendo, e convertendo, tempus per BF, ad tempus per I a post
BE, UT arCUS F _ 2d HI A. quod exat demonstrandum.
P
rurtus pet a ad