# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0648 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0648?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 562, page id 779782283:0648 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=648 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000648.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 recognised, mean confidence 0.92 # 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. PH XSICE TRACFAFVS II. diametrorum, idem dico de prilma- permutando; ac rarione ponderis ris limilibus. PROD. LIZ. TLinc si appendantur cylindris si- milibus aequalia pondera, praescinden- do a pondere cylindrorum, momenta erunt in duplicata diametrorum per- mucando; Nempe momenta, quan- do nullum est momenci auginen- cum à pondere. Cunc ve reliltentix permucando;re pacet ex dictisinam qua proportione relistentia est mi- nor, momenrum ipsi oppolicum est maius, e vicistum; igituI OmeI- xa lunc ve relittentiae permutando; Sed hae Cune in duplicata diameero- rum; igitur d momenta in dupli- cata diametrorum permutando; ino- dd cantum appenla pondera ae qua- Lia considereneur, quorum momen- ca Cune in compolira, ex triplicata diamerrorum permurando, _ Cx simplici diamerrorum, non permu- rando: Cinc aurem cylindri similes CC, CD; sine cubi C A, C B, in F2- rione =. Permurerur. Cic ratio aIaIETIOEUMI =. COMPONATUE VEIA- que, 3. vel =. haec est duplicara diamerrorum permurando; dixi l eancum pondera appenta conside- rentur, nempe si pondera cylindio- rum considereneur, res alirer le ha- Dec, de qua paulo pol. VROP. LZ Nomenta cylindrorum similium. citra omne pondus appensum, sunt ve diamerri basium: Nempe momenta hruiusmodi Cune in ratione compo Sita, ex duplicata diamerrorum per- plum pondus cylindri; ac pondera Cune re subdupla cylindrorum, (ub- dupla vero, ve roca, id est re cylin- dri; hi demum in criplicara diame. riorum; igieur rario compolta relistentiarum, permurando. et pon- derum, rel cylindeorum, eadem est mucando, de ex eriplicata caeum. eiem; quia momenta ratione rel. cylindrorum. Cune ve ipla pondera; nam res perinde le habet, atque (I ester appenlum cylindro, subdu- cum compolica, ex duplicata dia- merrorum permucando, ex triplica- ca carumdem, non permutando; Luppono autem relistentiam EOta- lein accipi, id est cum ratione ba- As, cum ratione rectis, vel longitu- dinissigitur momenca Cunt in com- Rentia, id est cum racione balis, Polica, ex duplicara diametrorum, permutando, ex criplicata carum. dem, non permutando; atqui haec compolica est eadem cum simplici rarione diameriorum; nempe du. rum ratione rectis, leu longicudi- plicata permurata, ica compentat criplicaram, ve remanear simplexi quia maior cubus in minus quadea- cum, de minor, in maius ducieur: Sinc enim cylindri similes CD, C6; Eic duplicata diamecrorum, 2. Per- mucetur =. sic criplicaca carumdem F. componantur, 2. vel . vi- des cationem diamerrorum; nume- rus enim luperior maiori cylindro CG, competie; line quoque alii cylindri similes, CO, CL, Sic du- plicara 2. perrunretur G. sccripli- CaTa COMPONANEuI 3. vel 3 vides rarionem diamerrorum: dixi cicra omne pondus appentum; enim appendatur, procede relupra: Hlinc si tancum consideretur ino- mencum, quod estt a maiore pon dere, cario, seu proporrio momen- eorum, in similibus cylindris; est vis, dumc is duplicara dismeirocum ad propertionem relistentiarum co Xaliu 3