# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0220 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0220?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 134, page id 779782283:0220 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=220 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000220.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine # Lines: 87 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. PEYSIC A X R ACX AYYS PROD. CCZ ZVI. Vires, quibus corpus plus, es mi- nus compressum, se se restiruit, sunt et compressiones: Nempehaec eriz eamdem habene proportionem, vis comprimens, compressio, de vis illa, qua sese corpus compressum reltituit, quod probatur Pet aX. 4. nam compressio est eftectus vis comprimenris; de vis illa, qua corpus compressum se se retticuies est ettectus comprestionis; igitur Cunc in eadem proportione; his adde morum balis excrema mobi- lis, qui lequitur proporrionem vi- rium compressionis; haec omnis probantur per coroll. prop. 59. dc prOp. 62. eadem CA AULCI PFOPOI= tio reliquarum parrium cylindri aeris: V. 8. compresi, quai Lupra explicuimus, Pro diverks pun- ctis chorda rena, in cotol. VTOP. 61. PR OP. CCZZ V II Corpus plus, e minus compressum non se reducit eodem tempore: P1o bacur, lic enim cylindrus BC. com- Fig. 24. Pressus primo in AC, cylindrus 1. est maior Fatio motus F, ad MOrII A, quam spatii EB, ad AB; igituF F cirius decurrit FB, quam A de- currar AB; igitur reductiones illa non lunt aque diuturnae: Tacio. d priori est; quia illi mocus lune xque diururni, quorum es eadem proporrio, qua spaciorum decur inquam aeris v. 8. Compressi inera cubum pnemmaticum; cum deinde in EC; Ccque AC. Cubdupla BC, et Torum; v. 8. SI mocus Cune aqua les, Eparia eodem cempore decur- Ca, tunc aequalis; s vero Spatia lunc inaequalia, eadem deber esse EC Cuberipla; compressio AC, est proporrio spatii maioris, ad minus. ad compressionem LC, vr 1. ad 2. Per PTOP. 225. Ledmorus puncti A, est ad mocum puncti F initio re compresio AC, ad compreltionem EC, PeF PEOP. 226. igItur vE 1. 2d 2. Porro spacium quod decurricur quae maioris morus, 2d minorem; re cancum accedat spatio, quan- cum accedit inocui; ve iam lape demonstrauimus: itaque cum (p 2- tia decurrenda ab exrrema bali lint re defectus extensiOnum; cerre maior est proporrio comprestio num, quam huiulme di dete- ctuum per PFOP. 221. igicur magis ab A, mocu illo reductionis, vel explicationis, est AB; decursum etiam crelcir proporrio mocuums quae Cemper lequirur proportio- nem comprestionum pet PFOP. 226. Elinc quia in censis, spacia huiul- modi sunc re excellus censionis; hi rero, re censiones, Per PTOP. 59. ee vecentiones, InOTUS, PeI PIOP. 62. certe semper cadom est proporcio Spaciorum de mocuum, igieur redu- ctiones eiuldem chorda cen(ae lune ilochrona, ve demonstracum ett in Prop. 63. Secus vero reducciones eiuldem corporis plus, d minus compressi, quod nemo hactens obseruanit. PROP. OONaVItA Spatium aqnivalens, à roto cylin- dro se se reducente decursum, est ad aliud, decursum ab eodem eylindro. vero ab F, CA FB; Led F. B, eAt ad plus vel minus compresso, et sparium AB, VE 8. 2d6. re constatisieur decursum, ab extremo puncto illins, (PaTIA HON LUNE re morus; isiu ed sparium decursum, ab excrema puncto