# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0260 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0260?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 174, page id 779782283:0260 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=260 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000260.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. 8. 44 PHZSICA TRACFATVS Y DROP. CCLZXI. Tlinc facile possunt decerminari vires nisus, quae insunt sinculis pun- etis huius planitriangularis, tensi. Nerpe puncti D, rires TunE ve OBD; lateris BC, re BC; lateris GF, VEEFAPCZUS CFOB, DECON Aac ex dictis: Flinc cum vires ni- TuS puncti D, SINE VE CBD, ee vi- res nilus laceris CB; ve iplum la- TuS CB; cerre rires tOriuS C BD, crunc ve Colidum; quod superest reliduum, ex prilmare criangulari, cui detracta es prramis, ejuldemm basis, e alcicudinis; quod veme lius incelligatur, SIE prilIA FDB, 18. 45. cuius alcicudo FA, Cc aequalis lon- sicudinis, cum bali, plani PEx- dicti criangularis ren(, cuius alci- EIdO SIE FF, VeL VE AL; SIC auTeIM FD, aqualis EA 3 _E FFD EEPEX- Cencet vires nilus extremi puncti, quod adducieue; sIc planum ALD lecans praedictum prilma; dico Tolidum seu prramidem ALDF FC- peaelentare rires rorius plani centis re constar: si vero accipiantur di- vecla puncta in ipla plani centi lonoicudine, v. 8. puncta F, ee 63 dico rires puncti F, elle ad vires puncti C, ve rriangulum FFD, ad craperium GFTTK; ve autem me- lius concipias proportiones vi- rium, quae Cingulis punctis insunt; finge triangulare planum PFD, Cursum accolli, donec cum ALB conveniat; nempe in illo alcensu concinuo (ccatur, d plano ALD; haec porro lectio determinat pro- portionem praedictcarum virium, quam Cemper repraelentar rrape zium, re Cupra; cum semper di- vidacur planum illud criangulare perium, re patet: Hlinc demum haberi porest proportio ririum cu- iustibet Ceomenti, plani censi;nem- pe vires cuiustiber Ccomenti lune, re seomencum ipsum Colidum; v. 8. cum vires corius plani censi pra- dicti, sInE DE COLIdUIT ALDF, C aC- CipiatuIE SeGMENCUM FO, certe vi- res huius, Cune re leomentum (o- lidum FEDCK; vires vero leg- menci GA, Cune ve Pegmentum (0- lidu ALCK: quaenam porro sine proportiones Ceomentorum huius- modi Colidorum, ex Gcomerria F2- eile haberi porest; nempe preamis est Cuberipla prismacis ciuldem al- ricudinis, et ba(IS. PROF. CCLZ XLI. Si linea cendatur inaequaliter, ita et decrescat continno tensto, versus extremum mobile, determinari possunt vires nisus singulorum punctorum, ad reductionem. Primo, sc linea AD, cuinS EI8. 46. CeHETum A SE immobilicer atH- xum, lic extremum mobile, quod adducituE, D; IER INCUIFHCEUE AD, in AC, re continuo deCFeLCAL FCN- S0 2b A, verSIIS D; IEA DE A Ina- sis tendatur, quam E; _C, quam D; Xc. cerre licer omnia puncta AD adduCane D, e augcanc ip. Pusnilum, _ omnia puncta AF, addUCANE PEnCEUIM F ; NON FAICM nilus D est ad nilum F, VE AD. ad AE; Sed vetoca rento, quae inest AD, ad FOTaI, quae inest AF, quae nON CAt, VE AD, ad AF, PEOPTeK inaequalitatem. Secundo, s supponarur tenlio, rniformiter decrelcere, ex linca AD incuruari in nouam curuam, de Qua LuPTa; LEPERLeNEaTUE LOTA teN- alcendens, in criangulum, et ira- Conis inxqualis series, criangule