# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0691 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0691?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 605, page id 779782283:0691 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=691 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000691.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 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. LIB. V. DE RESISTENTIA CORPDRYM. AG, ad CG; aEqui ACTI POTCIE, VE HE versIIS balun CF, carione dumt maiorratio duplicara AF, ad CF, xac relistencia balium, in rarione quam simplex CA, ad GC; Sic 2. cacione vero longicudinum ve enim v. G. AG, quadrupla AD; SinE. MN, CN, igicur rarione veriulque que FC, AC, aequalos; hoc posi- in compolica veriulque: sic aucem Co, guadearum AF, est ad quadra- CN, ad MN rc 7. 2d 5. hoc est im eUm FC, vE 2. 2d 1. hoc est in ra- ratione Z. COmPOnatUE vEraque, CO rione =. Ped AC, eA 2d CG, vr 4. Polica cric , 6. isieur maius est mo- ad 3. igicur maior est rario quadra- mencum aduersus halim FM, quam ei EA, ad quadeacum FC, quam aduersus FC, racione veriulque. Limplex AG, ad CO; isitue com- Dolira ex racione quadrari PA, 2d quadrarum FC, ec simplici OC, ad CA, eAt maior compolica ex racio- ne quadrari CF. ad quadracum AF, de ex simplici AC, ad CG, VE COn- Atac ex terminis: igicur in hoc calu, maius erie momeneum aduersus FC, quam aduersus AF; igieur aduersus balim non affixam, quam aduersus aftixam, quod crac dem. DROP. LZZ Z V TI Onorie scumque prisma inclinarum, saltem extat a summo puncto basis affixae, eorra planum, cni affxum est, secundum longitudinem, aequa. lem minimae basi; mains est momen- tum ponderis appensi, aduersius prae dictam minimam basim, quam ad- ic. JL. versus affixam: Sic enim prilma in- Cabt. clinacum aftixum C 8; SiE baliS aHti- Xa F C; minima basIS FMI; pondus appentum in D, seu vis movens ad- HOTL, Stque CE, V. 9. dupla EM; licet enim assumere quamlibet lon- sicudinem, ee lacicudinem, curr pro omnibus sic eadem rario, sefi- Senria balis CF, praescindendo a maiore; vel minore, carione vectis, est ad FCLIStenEIAMI EM, ve quadea- cum FC, 2d quadrarum LM, vE cacerum, pro longirudine rectis, allumi debec porius larus prilmaris NC, quam diagonalis oC, quia Pondus censeri debet appenlum in N, re dicam paulo post: icaque con- sac ex dictis, seruaca praedicta con- dicione, maius momentum esse ad versus minimam balim, quam ad- versus affixam. PROP. LZZZVIII. linc si appensi ponderis momen- rum praenaleat, prisma francetur po- rius in minima quam in affixa basi. Probatur quia cum aduerlus mini- mam balim sic maius momencum Polita scilicet conditione praemissa, quam in afixa de cum minorem re- listenciam minima (cilicer ba(S Fa- cilius CUPETCE MOIEHEIIM QuaIM maiorem alcerius; haud dubie in ea parce potius frangerur prilma in qua facilius trangi pocest: igieur in minima balis. v. 9. sic prilma CO, in ba(2 EM, pOciIS QUaM INFC. PROP. L = Z Z LX TLinc momenium inclinati, ad moinentum non inclinati; eiusdem longitudinis, cum segmento extante a minima base, est, et sinus comple- menti, anguli inclinationis ad sinum constar ex dictis lupra; id ek ve 4. torum, aduersus minimam, basim 2d 1. ioieur nomentum aduersus babira scilicet tancum ratione, pon bali E.M, est ad momencura ad. deris appensi: Y. 8. Sit inclinacur 2683 05