# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0161 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0161?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 133, page id 1066518432:0161 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=161 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000161.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 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 VIREDUS ET MOTTDUS CORDORUM. LrB. II. 133 bita ratione Agura rasiS, idem ralet etiam de rasis cxlindricis, in quibus illico liquet gravitationes liquoris altitudinibus ejus pro- portionales esse. Onde, si altitudines liquoris super plano aliquo ho- rizontali in rale prismatico ex in rale irregulari utrinque aequales sint, aequales utriusque plani partes aequales prectiones lustinebunt. Ac in rase prismatico quaelibet cujusque horizontalis plani portio sustinet pondus corius columna ips perpendiculariter imminentis; atque adeo portio quaecunque LM plani FC tancum onus sustine. bic, quantum est pondus alicujus prismatis, cujus basis FM et alti- tudo FS. Adeoque tocum planum FC lustinebit onus aequale mal- Ca liquoris in prisma contormatx, quae planum FC pro basi habeat _ ES pro alcirudine. COROLL A R F U M TI. 255. FF quia supra (5. 252.) demonstratum est, aequales particu- laS quam minimas FM _ FL. plani FC e lateris rasIS, sequales prestiones lustinere, unamquamque juxta directionem sibi norma- lem, Scilicet FM verticaliter deorlum, _ FP. juxta FR superticiei BFD in F perpendicularem, hinc sequitur quamlibet particulam mi- nimam in vasorum lateribus pressuram subire debere ab incumbente li- quore aequalem ponderi columna, cujus basis est particula, quae pressionem sustinet, ex altitudo est distantia particulae a liquoris superficie. Atque haec est generalis hydroctaticae regula ex luis genuinis prin- cipiis cruta, quae etsi tancum in liguoribus homogeneis ralere ri- detur, ele tamen ad quoscunque liguores, etiam hCTerOgeNCOS, CX cendere in sequentibus probabitur. CH O F Y O N. 256. Ex his ergo liquet, quod liquotes nomozenet slarane Tua subfecca platia POTallone altitudinis corum luper planis, in quae STaVITanE. Lx qua Auidorum propriecate lequens nalcitur parado- xum; quod scilicet parra liquoris cujusque copia tancundem in sibi lubjectum planum graricet, quantum ejusdem liquoris masta centies imo millies major in eadem altitudine. Etenim si vasi acuminato BAC, cujus basis BC notabilis sit amplicudinis, aqua infundatur Per- FiB. 60. cinsens usque in A, et per Corollarium I. hujus, aqua tantam prel- sionem in tundum BC exeret, quantam exereret cstindrus aqueus IBCK