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Leibniz-Handschriften zur Mathematik LH 35, 8, 21, fol. 1v

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: 0.93.

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. 2r); this page is its left half.

The machine reads it as

  1. quod hullum admitti
  2. posse demonstratio ostendo
  3. aste disita lit res
  4. quodammodus redeat
  5. ad id illud singulare.
  6. demonstrandi gemis cuiue
  7. exeupta passim extant
  8. ubi e, dea probamus
  9. ubi ex assumta iuaequa
  10. litate duarum quantitatum
  11. dorecte concludimus earum
  12. aequalitatem
  13. rectis
  14. si Theoremata desconvergen
  15. verificantur in parallelis
  16. tanquam specie converuentium
  17. uibi punctum concursus abest
  18. Sic
  19. le finte
  20. seu diserimem
  21. dlicimus per compendium erorem asse
  22. infinite parvam, cumque necli posse
  23. et ep etronsens i alumendo
  24. et tanquam quantitatem ad hibemus in
  25. calculo negligimusque comparatione erus
  26. cujus respectu est discrimem. Rrevna
  27. eatm semper ex infinit quoniam statum frdao e connexio sibi constaret
  28. ratiocinatio fit rigorosa, commutande
  29. indifinite parvum in definte parvam
  30. definite, sed assignata quantitate
  31. minus. Atque hoc est principium calculi
  32. differentialis, cum d dis coimina vel
  33. differentias assumimus incomparabilite
  34. mnores ipsis differentibus veriat et
  35. varius hac podibus ranos hic gradus
  36. agnoscimus constituentes quandam
  37. novi generis legem homo genectum
  38. Et prosunt hoec et hae quantitates
  39. indefinitae, (kam ad unibe seles
  40. opropositiones in ipsis definitis
  41. Omnia
  42. Ex. gr. Concipientes parala
  43. parvum; et it porr aliaque id genus.
  44. ubi uti data datorum unum in alterm
  45. ega reg itq et degula pro motu eodem
  46. asu evanescere debet cn regulam pro
  47. saite Ahoqu deple sut notornte
  48. ut Ellipsis cujus ulter focus infinite absit
  49. pristinis rei literariae Nsovellis. Conci–
  50. piendo aequale, ut inaequale evanesceas,
  51. evanescit, ut motus in quietem; ita
  52. quae demonstrantur de Elipsibus verificantur
  53. perto, modo _ in parabola, si concipiatur
  54. Hinc oritur Lex illa Continuitatis,
  55. cujus magnum etiam in physicis usum
  56. alio ostendi in aatiquis rei liter
  57. et motu quietem ut motum infinite
  58. e
  59. Parbola

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 21, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068115:0002?run=73