# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0380 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0380?run=74 # Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2) # Folio 294, page id 779782283:0380 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=380 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000380.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 83 lines, status machine # Lines: 83 recognised, mean confidence 0.93 # 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. 2.94 PHZSTCE TR ACTA TVS I. vance facilius atrollaneur: hinc alta; hinc popularem exrore navis illa Facilius nautragio perir corrige. PROP. CZIV. Nanis, cujus fundi superficies, vel area lacior est, non tam alie im- mergitur: Ratio est claristima; quia Polita aequali immertione, illud navis pondus maius ett, quod ma- iorem aquae molem exerudic, ve Pater ex dictis; nempe effectus maior, maiorem caulam arguie, Per ax. 3. Sed Colidum illud, quod altero maius est, licer eiuldem (IE, cum illo alcieudinis, maiorem haud dubie lacicudinem habec, Ve con- Cac ex cerminis; igicur illa moles agua Colida, qua à maiore nauis pondere exrruditur, est quidem eiuldem cum alia mole minore al- cicudinis, led maioris haud dubie laticudinis; hoc est amplioris ba- sis; nempe eadem est Agura extru- Ex aquae, ex porrionis nauis im- merla; li verd aequale pondus se- minae nauis lupponatur, ac proin- de aequalis aquae moles, ab vero- que extrudatur, cerre E maior (IE vnius molis balis, quam alcerius, alricudo illius necellario minor cst isieur immersio minor; isitur na- uis, cuius fundi superticies la- rior est, non cam alce immergi EUE. PROP. CX V Profundiori aqua, aeque immerei eur eadem nauis, ac minus altae, mo- do tamen altitudo aquae superet alti- endinem immersionis: Racio elt, quia PROD. CZYL. Si nauis fundum sit perforatum. per foramen aqua sursum erumpit: Racio est, quia ab aqua luperiore exeruditur; haec enim praeualee; Quippe TunE pluTeS PATTCS exTEu- dences, quam exrrula, donec sic aequilibrium; grauirane aurem pac- tes aqua, quae laceribus nauis adhaerenc; nec eriim aqua illa spon- te Turlum alcendie; igieur ab alias cum temper camdem aqua molem qua lupra es, exrrudieur; hoc est perinde se haber, acque si ex cubi Foramine, ab incumbentis aquae pondere extruderetur. PROP. CXVII. Finc mocus illi, quibus aqua illae fursum; per foramina aequalia, erum- pit, sint in ratione subduplicata al- rudinis immersionum nanis: Hloc eodem modo probatur quo Cupra Probauimus peop. 89. CA enim ca- dem prorlus racio: Ilinc per se aqua FuIPenS Per FOTaMON PEX dictum, alcendie ad alticudinem libellae horizoncalis Cuprema aqua excerioris luperhciei; hinc demum; quo maior de alcior elt immertio, plus agua, per Foramen, dato cem- pore, in nauim Cubic: TunE aurem quantitates agua lubcuntis, vemo- FuS; hoc est, in subduplicata al. cicudinum immertionis: cuncta haec eodem modo probaneur, quo Tupra: Tlinc demum sicubusFo- ramini apponatur, FOns, aire Fa- ctus in nauo haberi porest, in quo actollat, est enim semper idem non est difficultas. pondus, isicur idem ponderis ef- fectus; isitur eadem imertio; (I- ete aqua sic protundior. Eue minis