# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0399
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0399?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 371, page id 1066518432:0399
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=399
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000399.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.94
# 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.

DE VERTBUS ET MIOTTBUS CORBORUM. L TB. II. 37L
Flocigitur principio haud difficulter tabulam construere liceret, qua
penduli secunda minuta ribrationibus suis notantis longitudo ad Fin-
sulos gradtus lacicudinis definiretur, si modo Paris orii ad hunc in-
cundum calculum nobis (UIpPCECTCE, _ nISI TUMUS NCWEONUS nOS
labore ilto sublerasset, qui talem in propositione ZZ. L ib. III. Princ.
Phil. Nac. novissima cdicionis exhribuit.
646. In hrpochesi vero Tlugeniana graricatis uniformis, qualem
in propOsitionibus I ZZZ. CE LZXZI. seguuti Cumus, lonoiendo
penduli in polo P se habebit ad lonsitudinem penduli ilochroni in
quolibet lOcOD, UE R F. PC L; DL= ad EF. PC = ;DT. Cujus de-
monstratio ex antecedentibus Facilis est. Nam in quolibet loco lon-
situdo penduli est proportionalis solicitationi acceleratrici penduli
in eo loco, et haec Colicitatio acceleratrix semper cA exceNus gra-
ritatis absolutae supra conacum centrifusum in eodem loco, sumtum
in directione graritatis.
PROPOSTTTOEXXXTTT. PHEOREMA.
647. Si TUbUS ABDE aquae plenus usque ad FI circa aeM FP aequa Pig. 147.
bili motu converti intellicatur; aqua hoc motu circulari ad latera tubi
BA, DE attolletur, in medio vero deprimetur ad M; adeo ut superfi-
cies ejus, quae in tubo quiescente sensibiliter plana erat, in superficiem ca-
vam LMN abeat, quam retinebit quousque motus aquae eodem tenore
perseveraverit.
Nam, quia agux partes in srrum actxe conatus habent recedendi
a centro, ex co majores habet conatus a centro recedendi, quo ma-
jores tuerint circulationis celeritates, majores aurem lunt prope la-
tera vasis quam in medio relocitates aqua in orbem actx, er80 et
majores conatus centrifusi, qui, quoniam a lateribus ictis impediun-
cur ec aqua Auida est, exeruntur sec undum directiones plano basIs
perpendiculares, ac per consequens, cum in lineis bali perpendicu-
laribus prope latera conatus centrifusi maximi sint, sequitur illic
aquam altiorem esse debere quam in medio, ad id ut excessus prel-
hionis a graritate aquae supra conatum centritusum in ea linea x qua-
lis manere queat pressioni aquae in medio crlindri, alioqui aquanon
posset in Catu manenti consistere; propterea liquet, quod cum li-
pex blu lateribus rasis BL propiores, majores lint media MP, Cuper-
ACieS aGUIX LMN cara Futura SIF.
648. Ductis itaque ad axem PM ordinatis L. L, li, abscisae MI,
Aa a