# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0658 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0658?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 572, page id 779782283:0658 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=658 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000658.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 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. PA ZSICE YR AOTATVS II. atque Rhinc, inde 3. lib. Ponde- inxqualia; se quale inquam prOpOE. ris appen(a esene, quibus si ponde- rionalicer dinilum duobus inx- F2D, F, Cingula v. 8. 4. lib. 2d- nectas, perinde res sc habet acque S in K ellenc 7. lib. e coridem in T; igicur s componantur duo pOn- dera coralia, crune 14. lib. iam re- ro supponamus cylindrum AK, Fulciri in B; _ BC, esse duplam AB; CCFEEVE BIE, _E MR, FacIAnE idem momentum, debec pondus co- cale BK, id est compolitum, ex im- posito, in D, _ Subduplo BR, else ad pondus cOrale MK, VE MC, ad BC, id est ve 3. 2d 4. Sed corale MK Supponitur 7. igicur ve 4. 2d 3. It27. 2d5. =. isieur eotale pOn- dusBK, eric 5. =. sed s Subduplum MK, SC 3. lib. cerre Subduplum BK eric 4. igitur ve Facias 5. . de- bes imponere in D, pondus lib. 1. +. iam vero pondus cocale AO, eAt ad cocale BK, veBC, ad BA; id est ve 2. 2d 1. igieur vC 1. 2d 2. iC2 SiEpondus corale BK, id est lib. 5. =.ad pondus lib. 10. =. sed Si sub- duplum BK, SC g. lib. Cabduplum AC eric 2. lib. igitur ve Facias 10. 2. debes imponere in E pondus lib. 8. =. IgItuF (I COMPONAS POn- dera coralia duorum Cegmentorum cylindri aequalium AN, MR, ha- Debis pondus 1g. lib. A coralia duorum inxqualium AC, BK, ha- Debis pondus 16. lib. ex quibus si derratas lib. 6. id est pondera pro- pria Ceomentorum; Cupertune 10. Led 8. cancum impoluisti legmentis qualibus. Sexro, ratio porissima est, quia cum pondus addicum minori se omento, id est in F, habica Fan- cum rarione lonsicudinis, in ca- dem ratione crelcere debeat, in qua minus, seu breuius Legmeneum decrescie, cerre cum in infinicum minus Cermentum decrelcere pol- sic, etiam pondus addicum, in qua- cunque data ratione, crelcere po- cest, licet pondus maiori legmen- coincubans, nunquam in subdupla ratione decrelcere possit; nullum enim segmentum ese porest du- plum MC; igicur si minus legimen- cum sic subduplum AM, pondus eric duplum prioris; E subquadru- plum legmentum, pondus quadru- plum; si Cuboctuplum, pondus octuplum; aeque ica in infinicum; ac vero si Peomentum maius sic ad MC, in carione =. pondus eric ad prius in ratione =. Si legmentum in ratione =. Pondus in rarione = Si legmencum in ratione . pon- dus in rarione . acque ica dein- ceps; ex cum Ceomentum nequear elle in rarione =. nunquam pon- dus erir in carione =. vides quan- cum crelcar pondus, Ve PcruCEuE momentorum aequalicas, in segmen- eo minori, ec quam parum de- crescat, in maiori, idque habita tantum rarione longirudinis; (i enim habeacur quoque ratio pon- aequalibus; igitur ve inaqualia deris; SegIMENEOTLIM, CCFEC PON aequale momencum Faciane; cum dus segmenei minoris, infea pon- requalibus, maius pondus inequa- dus AN; intanire decrelcie; (unE libus imponendum est, quam aequa- enim pondera, in rarione longieu- libus; igicur (i aequale, eam aequa- dinum; igicur debet addi cantum- libus, quam inequalibus, aequalia dem noui ponderis, ob defectum maius momencum faciene, quam ponderis minoris legmenri; isirur pondus