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Leibniz-Handschriften zur Mathematik LH 35, 9, 24, fol. 4r

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: 0.94.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.

The machine reads it as

  1. quiden sed tanen et specifice densissini ortum ex circulatione
  2. ejus circa centrim; corpus in fluido positum etsi crassum
  3. ea
  4. minus tamen sperifice densum, versus centram dipellente;
  5. ratione qua ego alicubi in Actis eruditorum ostendi, efici
  6. posse actu ipso ut ferrum in hydrargys descendat; vel lignum
  7. innatans ia aqua. His positis constats solicitatiores centri-
  8. fugas saequalibus temporum elementis fore in ratione conposita
  9. ex directa duplicata celeritatum circulandi, et reciproca
  10. sinplice radiorum circulationis; haec ergo erit ratio ipsorum
  11. Lnan si temporum elenenta sint intequalia, temporun elemen-
  12. tarium ratio simplex directa erit tertia ratio ingrediens in con
  13. positionem. Nenpe sint circulationes , radiir itaque positis
  14. KK :Y
  15. fat ut do erant f ut XX. r: atque adeo alkt: Y ut dv. sed vides
  16. pihil horum ad calculum accelerationum vel retardationum
  17. monentanearum aut ad desiquationem linearum, qua harum impres,
  18. sionibus varie directis describuntur, pertinere, et quaecnaque aosunatur
  19. hypothesis causa, etiansi fictitiat ait plane oupernaturalis
  20. qualis est Noutoniana attractionum inexplicabilium in Xistans:
  21. quae saltem per absolutam potentiam divinam continua
  22. Des miraculosa operatione corpus versus centrum impellente (more
  23. Malebrancano Deum unicum operatorem facrente suppleri posset.
  24. tractationem Geometricam. eaadem fore. Aque adeo inatiliter adhiberi f
  25. quanquam meo judicio id a
  26. probetur esse fat-
  27. mallem esse fat ut du esto (Tecun) spathium quod mobile percerrit AC vel A, X
  28. elementum ejus ce, du Vis acceleratria CD vel es
  29. Volocitas a
  30. Fiauti
  31. mobili in C. acquisita v, increnentum ejus infinitesimum ta velocitas
  32. in Cquasita erit v +. dv. Sit tempus clenentare quo percurritur Ce d
  33. et similiter , ejus per numerua infinitumn in totsidem partes infi-
  34. sit
  35. nitesimas inter se aequales divisi pars ina dat; erit ndat = at. et simt
  36. liter add
  37. = de posito particulas aequales velocitatula acquiri
  38. particalis aequalibes tempuscali.) Sed velocitas de
  39. generater vi f applicata ad tempus at. ergof ap
  40. plicata ad dat producit ddr, et fapplicata ad raat,
  41. aut ad haat ete aut denique ad ndat producit (respection
  42. 2ddv, 3adr etc. aut denique ndar, ut ai. unde colligis fndut
  43. aatu, id est fatt-at

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 24, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068149:0007?run=74