# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068166:0008 # Permalink to this reading: https://leibnizlegible.com/page/00068166:0008?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 13 # Folio 4v, page id 00068166:0008 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068166&page=8 # Source image: https://digitale-sammlungen.gwlb.de/content/00068166/jpgs/default/00000008.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 82 lines, status machine # Lines: 82 recognised, mean confidence 0.81 # 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. farelon ita jam re omni ad volos motus notabiles reducta, omnique spictione, aute nemat privatum resecta calculum iterum assumamus, paulo aute peractum, sed ad hibitis praeter globum alobit E et (E) in contraria inter se aiqualibus in contraria tendentibus, supposite angulo NCG acutissmo,c vel DC(G) aculissimo, ita ut DH sit = bis DC + C(G) seu DC+ C DC, et DH) DC - DC, posi nempe punc Get H existentibus pro E et (G) et (H) pro (E). ita ut motus ipsius E copositus sit duplus motus navis, at motus ipsiuse sit nullus. Hinc ca balis A initio vis erat eterandi globum i, ad altitudinem 1K, et glubo E ad altitu– dinem et globos E et (E) ad allo tudrum M N. ictu facto navis, cum globis Ee+(E) sumta aequalis glovo quiescente globo hanc vim recipit, velocilatamque accipit et directionem Cd; liberentur jam globi, ii descensu usque ad horczontem per ostillationem facta hobvi viassugeri in navi habebunt vim es sssurgendi ad MN et vel velocitatem et directio nem CG et (G), posito autem CG C() (aequadis inte e) aequari ipsi Cd patet etim ma et ik aequari et vim cujusque exprimi posse per quad ralam velocitatem ) in corpus ductam. Sed si traduntur in grovi in oscillatiisnem extra navem, ibi velocitas ipsius globi E erit CH, quae est dupla CG; g (seu CG+ CG) globi vero (E) est nulla (nempe (G- CG) navis autem suam celeritatem relinebit, n est autem navis moles, = 1- 26. Nunc ergo calculus sic habetur: initio vis erat, 1. in C9quadr. Nanc vero, est 1 - 2E in CGqu. + E in q4. CGqu = C in 0. CG qu Taced. Quae vires deberent aequari inter se, fieretque: I = ) 2E +4E. seu 2l=b quod est abs. itaque cum omnia jam accidentia resecuerimus tali hypothesi pro deminstrato habendum est, rem compositionum procedere non posse. Globas igitur in aere malum trahere intelligendi sunt modis diversis, quia mt licet contrria licet per se eo idem modo habeant ad navem, unus tmmen motus est motui navis conloarius, alter consporans. Idem sine transditione obtiner 2589; 2EE9 1E_g. 262) G2g. 52E9. 129. orcy. 900g, Vuotr 2619. 1bZ9. 2ch5. gurisi 10b5. ovarsito 2685 1685. obB5. 8285 du 6985. 4985. 0985. 2585. 9525 uoM erghob htes houou d+ B 5. 8+85 Iassop) d voses )22 pumor 6. 2285 fustu cbL5. 2bL 5. 16 L5. 68L 5. fur2 LLLC 5LL5.4243, ELL5. 2828. 1225 30Vd 29L5 3S de ) ogLs guounoguos .65LC yurruso beLs sicosie .12L5 :SuhMN 6ILS Vurhurgne L1L8. 51 Le Vuorgoeso 0805. bL95 2sudis ELGshumio t9 2995. 85. E∞9S 0995.. 5595. L495 5195 2+95 27952 .. 1295 iiruvod) . 6285. 9135 315 4095. 8656, 0hs5. b855. 8855. 5855. 2855 2L55. 9155. 5255.t L55; 2255. uutoeo pr. soravis 25c. Groy vuopyh vne nis 2555. 01550255 SiM 0255 1155 Sunyzossoy 5055 sushantur 2055. 0055. Bht 5 cb5. 2st 58t5. 5825. 2805. 18Y5 hLt5. 8L+ 5. s ret 2L+5. 0Lb5. motur vroro ronise potest, si durante oscillatio navi occurrat aliud aequale corpus, I- E a quo sistatur nam E et (E) globi non ideo sister tur. Erit ita operae petium judagare quid tandem piepi debeat in talibus casibus. um dupli isto E. et E). Quin et quid Cumisim plici illo solo E, quod videtur conti– une tardare debere motum nanis retrahendo. Sed quid tum, semperitamm aiquid motus oscillatorii refinebit et quicquid agumus non apparet a in fine liberationis eadem quaestio manebit. Nec video proinde quod copositiones motumu palvari possint Interim tamen nec aliter exitum vide quem enim quaeso motam accipiet E an solam suam vim propriam susti– nebit vi communi in navi relicta An considera. Recurrendum ergo erit ad experimenta in ve lam perplexa ngens et Neu F0 Angenio et Neutont L8V5