# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0202 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0202?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 116, page id 779782283:0202 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=202 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000202.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine # Lines: 87 recognised, mean confidence 0.90 # 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. PA ZSTCAE TRACTATVS L. E15. 22. permutando: V. 8. Cc cubus AB PeF= pendicularis, continens materiam homogencam, peae grauicatione centam, Peu dilacatam, eo modo quo dictum est; ex B delcribatur aECUS ATIM, ducaneurque quot libet radii inclinari BL, BLL, XC. donec tandem peruenineur ad ho- vizontalet BMI; ducaTuT HIC, p2- Fallela BMI, dinidacque AB bita- eiam requaliter v. 7. si cubus BA StacuaEuE in B FI, dico centionem maceria, concenca intra tubum inclinatum BFL, esse ad censionem maceriae contenta intra cubum Perpendiculacem AB, ve CB, 2d BFI, vel BA; quod Facile demon- SEEO; AAIM VITES TeNSIONLIM LUIESVE rires cendentes, per aX. 4. vires cendentes ,. ve granitationes; hae VerO vEmOTuS; morus denique, vE lineae permurando, ve fuse demon- Stracum est tract. de moru lib. 5. vis quae rerinet globum ne descendat per planum inclinatum HIB, est ad illam, qua reripet cumdem olo- bum ne descendar in perpendiculo CB, Vc ipla C B, 2d BFL; igituF cen- LIOBCS IATCFIX 3. LUNE DEBC3 BLL permutando; quod crar demon- Rrandum: obseruacum est eriam in citaca append. de racuo, IMCrCU- rium in plano, seu cubo inclinaco, longiorem porrionem cubi occu- pare, quam delignae ducta hori- Zoncalis, a Cuprema bali perpen- diculi;. v. 8. (i exret in perpendicula MercuTiuS EOF2 BC, ducacuE C I13 in inclinato cubo BHI, occupabie tOcam BFI; in inclinato verd BD, totam BF; hinc portiones occupa- ea lune re iptae linex. PROP. CLXZI~ Si assumantur tubi inclinati, ejus dem alcirudinis perpendicularis, ho- mogenea materia, dilatabili plent quae per eranitationem dilatetur, is diversis parcibus tuborum; tensiones o une proporiionales: V. 9. LINE AB, FIZ. 21 DB, FB, Xc. cubi ejusdem alrieu dinis, id est concenei intra duas horirontales AF, BM, Sicque in illis materia homogenea renla, du- catur CF, horizonti parallola; dico tentionem segmenti A C, elle 2d censionem Ceomenti C B, re censio Legmenci DF, ad centionem leg- menti FB; cum. enim ica dilaceMEUE parcesmaceria, in BD, ve B nihil tentionis habeaE, D VeEO EOTI, seu maximam; Scque cuiussiber Parris cenlio, ve diliancia ab ex. FreImO B, Per PFOP. 177. Sequieur necellario iuxta candem propor tionem, dilacari maceriam in cubo BE, iuxta quam dilacatur in cubo AB; V. 9. cenlio D, est ad censionem E, VEDB, ad FB, id est in dupla r2 cione; pari modo, centio A est ad centionem C, ve AB, ad C B; idem dico de omni alio puncto; igicuE EOTA DF est ad EOTAI F B, VE FOEZ AC, ad EOtam C B, Sed HXC FANEII ex hypochelr, quia reuera nullibi est haec maceria homogenea dila- EiLo monstracum est, mareriam cenuem. in Superiori Actula regione dila- cari; cum Ecilicer mercurius pro- prio pondere deorlum cendic, Se reiectam conclusionem illam, quam aliqui ex hoc eodem MeTCULI) car ABbd SC H O L Consule ciraram appendicem e dialogos, in quibus n Fallor de-