# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068202:0011 # Permalink to this reading: https://leibnizlegible.com/page/00068202:0011?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2 # Folio 6r, page id 00068202:0011 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068202&page=11 # Source image: https://digitale-sammlungen.gwlb.de/content/00068202/jpgs/default/00000011.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.93 # 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. quippe demonstravimus alias in extremis A et B tractiones erca hypomochlium C circulandi fore sunt fiant, vires e in composita ratione rractionum, et e per E B et dA et perpindicularium ex Hypomodilio C in lineas 11 directiones Ad AE d BG ductarum. Videantur mea ad posthuna termatus. Tractiones autem oestimandae in ratione composita eeleritatum et pondelum, quia hic vis mo mortuae ratio habenda quod si ea methodus succedat unt liceat estimare motum ex motu centa, et circulatione crta centrum quasi hypomochlium Eicebit jam de inlegro aliquo cornore sic ratiobiuam. sint sit corpu seu punctorum A.BC sumatur corpora et plurium corporum centru ravitatis commune sumere et ita fingere ise si plura sint puncta, videndum an eq res s nostra mechodo plima ex sola virim et directionum consideratione, sit determinata A. B. Cconnexa inter se et sint tria puncta conantia velo cita aequalibus tactious irectio et velolitus e AL, BM, CN et quaeratur primum m centri gravitatis deinde talis circulatio ut summae belocitatum et quadratorum a velocitatibus in ipsorum punctorum massas ductorum sint eaedem quae forent, si quod libet punctum sua directione seu infinise inalvis) solicilationibus solio velocitilis non quadralo u es rs Bale progrederetur qvebitur solutio Hoc tamen nonm, ru videndum au non idem obtineatur methodo illa priore, ut dato motu debito ipsi cantro gravitatis dinemum an non Et vires conatus circulanti ponantur esse ut normales in lineas birectio num. Etsi id quidum non sufficiat ad ab soluta habendam crcalationis. si pomamus pa si puncta ponantur esse infinita velocitatem. nihilo munue corum centrum quavitatis serviet, et ex circulatio determinata habevitur ex conscrratione virium, vel ex proportione normartum an ane directionum. Sinialeu sit gara Tala quid in linea AB B si interra esset figura e plana eadem esse L metrodue datur tamen com– prndium ut si van lines directionum sint eodem flano nam punctum Do punctum D intelligetur grave in rationa rectae Fd quia cadit in data figum aliqua ad centum terra G tendente invenire lincam desconsus linea rertignis in B in rave recae EH sen directionis totalis, sive punctum sustentationis