[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 561
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- PIB. V. DE RESISTEN PIA COREORVM. 56I
- cata diamerrorum, permurando, rum: Nempe omnis relistentia, vel
- per proP. 49. COF. 1. Sed relistentiae, est a balI, vel à longicudine, seu
- racione balis, lunc in eriplicara dia- breuirare rectis; Cunc enim resi-
- mecrorum balIS, PeF PFOP. 49. PEX-
- terea momenea ratione longicudi-
- nis, Cune ve longicudines, Ve patce
- ex dictis, praelerrim prop. 24. atqui
- resistentiae rarione rectis, TunE VE
- Longicudines, permurando; per prop.
- 24. num. 10. igieur resistentiae cy-
- LindEOLIm TUNE DE MOMCNEA PEF-
- mucando; _ vicisIm IOIMEHCA, VE
- relictentia permurando; praelcin-
- dendo Scilicet ab auomento ino-
- menti, quod a maiori pondere pro-
- cedat.
- DROP. LV
- Tiinc praescindendo ab auemento
- momenti, quod est à maiori ponde-
- re, vel cylindri, vel appenso; resi-
- stentiae sunt in cylindris diversae dia-
- metri, es loncitudinis, in composita,
- ex triplicata diamerrorum, non per-
- mucando; es ex simplici ratione lon-
- sicudinum permutando: Ouia mo-
- menca Cune inhis, praescindendo
- Ccilicet ab inaequalitare ponderis, in
- racione compolica ex rriplicata dia-
- metcorum permutando; ex ex sim-
- Plici lonsicudinum non permuran-
- do; Sed FesISeNEIX CUNE VE MOMIEN-
- ca permurando, ve constar; ve aurem
- haec ratio compolita habeacur, sine
- dux linca, ve cubi diaMCFEOLIIM;
- ducantur illa in longicudines, per-
- mucando; rehistentix, ireinque mo-
- menta, erune ve rectangula, Tub his
- laceribus contenta; pari modo ha-
- bebitur ratio compolica, ex rripli-
- caca, de alia duplicata.
- PROP. LV
- Resistentiae cylindrorum similium,
- sunt in ratione duplicara diametro-
- Sencia, rarione rectis, re lonoitu-
- dines, permucando; de ratione ba-
- S5, circularis scilicer, in eriplicara
- diametrorum; igitur cum longieu-
- do, sic ad lonsicudinem, re diame-
- cer, ad diameerum, in cylindris si-
- milibus, vel proportionalibus; ce
- Sistentiae Cune in ratione compolita,
- ex criplicata diametrorum, non per-
- inutando, e ex rarione carumdem,
- permutando; igitur maioris resi
- Rentia, est ad relictentiam minoris
- ratione ba(IS, ve cubus maioris dia-
- metri ad cubum minoris; aE vero
- ratione rectis, ve diamerer minor,
- ad maiorem; igicur hc compenla-
- eio, e Hc duplicara, ex eriplicata;
- V. 5. SInECD, CO, Cplindri pro- Fi8. 28.
- Portionales; relistentia lune in com- T ab. 2.
- Polica, ex criplicara diametrorum
- CA, CB, X ex ratione simplici C A,
- CB, permutando, sic autem CA,
- dupla CB; criplicata cA =. rario
- vero diaerrorum =. PeRIUTeEuE
- =. COIPONAEuIF =. vel =. vides du-
- plicatam diamerrorum =. pari mo-
- do sine cylindri similes CL, C6, sic
- CA, cripla CL, racio diametrorum
- est =. PermUTCTuT,. eriplicata ve-
- ro diameceorum =. Componatur,
- =7. vel 2. vides duplicacam diame-
- trorum; cario est, quia si non Ae-
- tet permutario, e maior diaeter
- duceretur in Cuum cubum, minor
- reco, in luum, per compolicionem,
- haberetur cario quadruplicata dia-
- metcorum; cum aurem AaE perMU-
- cario, e ducacur maior diamerer,
- in minorem cubum, minor in ma
- iorem; regreditur rario ad dupli-
- cacam; ioitur relistentia eplindro-
- rum similium, Cune in duplicata
- BBbb diame
Cite
[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 561. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0647?run=74