# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0670 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0670?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 584, page id 779782283:0670 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=670 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000670.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 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. PAZSTCE TR ACT A FVS II. fuleris, et secundum angulum, seu non per arcum; ieaque Spatiuim costam, sustincatur, dererminari po. decurlum a bali GTLK. Cst Colidum test, quam proportionem resistentiae habeat: v. 5. SIE prilina DE, duobus Fio. 33. Fuleris DC, ita innixum, ve BD, Fab. 2. diagonalis ba(Is quadrata, (IE pCt- pendiculo parallela; (c BI. Subdu- pla BE, appendacur, vel impona- tur pondus in I. determinari porest relistentia momentum: cum enim relstentiae, Cupposira endem rarione rectis, (IcuT re motuS; _ hi, ve Spatia decurla a bali, quae anellen- da est; inveniendum est sparium, quod decurrie praedicta baHS; VE decerminetur momencum illius re- Cstencia: porro quando paralleli- Pedi duo plana, lunc horizonti pa- Fallela, ve ridere est, in prisimare AF, Ag. 7. baliS voluitur, circa in- timum lacus; ec spacium decurlum, est ve cuneus; Tubduplus Scilicet parallelixedi eiuldem alcicudinis, et lacicudinis cum bali; ve dictum est Exepe, ex demonstratum; cunc ba- Eis voluitur circa axem: vbi rero voluieur circa punctum anguli, (CIF balis AC, circa D voluitur, prx nalente Ccilicet pondere appenso in C) re determinetur relistentiae mo- mencum, debet dererminari (pa- cium decurtum, quod vemelius in- celligatur, sic balis L IGR, in pra- Faro licu, qua circa punctum , ita moucatur, de voluarur, ve L perveniat in C, K in R, I in S, d coc2 basiS LROI, in balim C ROS, licer enim L non decurrat lineam rectam LC, led arcum, quia tamen eam paruus aecus, ab L. decurri porelt; cum Ccilicer minor, e mi- nor accipi possit, pro linea recta, habendus est; ad de quod habetur cantum rario primae determinatio- nismorus L, qux fit pes Catis enrem, CLORS; id est Cubduplu paralleli- pedi OC: c aurem eadem balis CL in DB, roluaturque circa aXCM DF. aequalem OI, vel OX, accipiatue AHI, aequalis CC, harque paralle- lipedum DM, aequale OC, cuius Subduplum AMED, est aequale (0. lido CF ORS, Sed cu. v Z dccurrat ZV; eo cempore, quo L decurrit LC; cerre A decurrIt AY, aequa lem ZV; _ B, BZ; igicur balIS AB, Tolidum, Peu CUIMEIM AZ. F.D, qui Cst ad CUIMCUI DEMA, VE AY ad AII; sed habet camdem rationem, ad Colidu aequale, Scilicer CLGRS; igicur spatium decursum à bali LO, in hoc lcu, est ad Sparium decur- Cum ab aequali ba(I AF, in alio sIEU. reAHI, ad AV; vel reLC, ad XV, vel ve GL, ad GX; igicur relisten- tia GL, est ad relistentiam DB, ve diagonalis, ad latus quadrari; hoc Cst, ve alticudo LC, ad alcicudinem Da; idem dicendum est de bali cy- lindri, qua sic aequalis bali qua- dracx prilmacis; Cunc enim verius- que relistentia, ve alticudines; id est ve diameter circuli, ad latus quadrari, circulo aequalis; ica ele relistencia circuli, ad relistenciam quadrari; est aurem lacus quadrati. aequalis circulo, media proportio- nalis incer lemidiametrum, ee lc- micirculum; Porro ex hoc princi pio, innumera Fere cheoremata de- monstrari postune, qua prudens Omicto. veti sd e itid sosbi si gularum basium, sunc in duplicaca distantiae 1g. 4c (ab. St dasos pani triangularis afficatur PROD. ZLVITF