# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/799199311:0048
# Permalink to this reading: https://leibnizlegible.com/page/799199311:0048?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 32, page id 799199311:0048
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=799199311&page=48
# Source image: https://digitale-sammlungen.gwlb.de/content/799199311/jpgs/default/00000048.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.

6RAVEUM
in puncto B acquisicurum.
Sd enim per cB cadens minorem relocicarem acmcca-
CHRISTTANI AVOENI.
32
Ot pescrusu Tine aquales; e cadar grare ex a per planum a B, _ rurIUS CXC
per planum cB. dicoutroque calu eundem fradum relociratis
Caxat quam per F B acquireret, polica nimirum e B minore quam
AB. ACquirer autent pet CD Cadens cam relocirarem qua rurlus
cur quam cadens per AB, habeat ergo, per cB cadens, cam dun-
=Prop. 4. huj. per coram B C Pollic ascendere. F ErsO et Per F B acquiret cam
velociadem qua posu alcendere per toram B C. Ideoque cadens
ex Fin B Petomorum per Bc; quod repercussu ad
superticiem obliquam fieri porest; alcenderulque in c, hoc est,
altius quam unde decidie, quod est absurdum.
Eodem modo ostendetur ne que per planum a B decidenti mi-
norem relocirarem acquiri quam per c B. Ergo per utraque Pla-
na eadem relociras acquiritur, quod crac demonstrandum.
Duod livero, pro plano alcerutro, lumatur perpendiculum ip
Cum planorum clevationi aequale, per quod decidere mobile po-
natur, sic quoque candem quam per plana inclinata velocitarem
eiacquiri constat; eadem nam que est demonstratio.
Porro hinc jam recte quoque procedet demonstratio alterius
cheorematis Calileani, cuireliqua omnia, quae de descensu super
planis inclinatis rradidir, superstruuntur. Nempe
PROPOSITIO VII
nalis, sed quorum eadem est elevatio; esse inter se ut
planoru conumns.
dinic Platla etrala  C, A b qudiun cadet eteratio L B. dC0
tempus
cumpora descensum apet pns ddorsmt ati