# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0372 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0372?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 286, page id 779782283:0372 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=372 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000372.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 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. 286 DA ZSTCE YR ACT A XVS T. ris, per C, esse ad eam, quae Auir alticudinem est aequalis ponderis. per F, in rarione subduplicata BC. cum cubo leviore FD; isieur li BE; V. 8. E BF, sic quadrupla B C; accipiatur parallelipipedum eiul- quanticas aquae Auenris per C, est dem medii, cum eadem bali, 8 ad cam, qua RuIE Per P, ve 1. ad. inore lubduplâ alricudine, haud 2. nempe eadem est ratio, pro (i- dubie cubus FD erir maioris pon- plione, e pro cubo, quod enim praeltat in cubo pondus impolicum premens, vel exprimens aquam; hoc idem praestar in siphone, pon- dus quali appensum, trahens, vel adducens aguam. PROP. XCV. Corpus lenins innatat medio era- uiori, vel dexsiori: Experientia cun- ctis perspicus est; rario etiam cla- rilima; quia non porest immergis nihi aequalem luae medii molem ac- collat; sed non porest aequalem lux molem acrollere, nisi plurco PaIcCS, quam hrabeat, acrollat, quod heri non porest; alioquin debilius peae- valeret, COnEEA aX. 4. SEGHUIHEUE enim scauis rationes libexe, per prop. 69. igirur corpus leuius gra. uiori medio omnino non immeroi cur; igieur InNaCOE; Vt autem LCS clarior cuadat, agemus deinceps deris, igitur cune praevalebie, per de innatancibus humido, quaneum Scilicer ad praelens inllicurum, per- cinere videbieur. DROP. ZCYI. Corpus lenius, quod innatat me- aio; aliqua sui parre immereitur: Deobatur: Cic enim cubus C F, de superticies medii AB, haud dubie, 18. 67. Pondus cubi C F, habet aliquam proporrionem, cum pondere cubi, medii; ciuldem excentionis, de molis; v. 9. sic in ratione lubdupla; igicur parallelixipedum medii lE, aX. 4. X prOp. 69. igitur canculum quod scilicet habet aequalem basim cum praedicto cubo, et Lubduplam descender deorlum; isitur aliqua Cui PALTC IMMEKGCTHII. PROP. ZCVTI. Fa sui portione immereitur, cui si accipiatur aequalis medii moles, ada– quas pondus rocins cubi: v. 8. (IE Cu- bus leuius FD, Eir parallelipipe- Fi8. 67. dum medii iF, cuins pondus, ade- quec pondus cubi FD; dico quod Parre Cui FPI, aquali FK, immerse- tur; quia neque plus neque minus immersitur; non plus, quia alio- Quin maius (e pondus aqua exrru- deret; non minus, alioquin cum minus adhuc exrrudere poliet, vi- cerius immergererur; igieur neque Plus, neque minus immersieuriadde quod invacancia Ceruane rationes libearum, neque Sictune, doncc sIne in aequilibrio, per prop. 69. hinc l maius medii pondus extac, extrudit Pondusminus; li verd extar pondus maius extrudie medium, donec 24 aequilibrium perueniatur. PROP. XCVIIL nando corpus lenius super impo nitur suprema superficiei, medijo Delcendic: cum enim aliqua tu Porcione immersatuL, Per P:OP. 96 immersi non porest, nili descendats acque adeo illam porrionem medii extrudat, cuius pondus corporis innatantis ponderi ae quale (Ic: POrrO Facili, simplicique modo hanc por- tionem extrudie;, non quideM LOTaI sumutu