Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 40

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: 0.90.

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

The machine reads it as

  1. stro
  2. vioii
  3. acte
  4. Rhecht paulolaboriosor. Ped non dissimulandum est duis
  5. Poncesse leries aequalescerminariones habences, itavelem-
  6. per quiliber cerminus rnius leriei sc maior quam idem nu
  7. merorerminus alterius seriei; sed intalibus leriebus quo
  8. longius producuntur, caminor est corundem numeroter-
  9. minorum differentia: led e contra nostrae leries quo lonsius
  10. producuntur, eomagis disterue ijdem numero rerminis LICuE
  11. Facillime demonstrari porest.
  12. Experiencia obleruo disterentiam inter secundam duarie
  13. mediarum arichmetice proportionalium ee secundam dua
  14. rum mediarum geomerrice proporrionalium temper esses
  15. mulcomaiorem differentia inter lecundam duarum medis-
  16. rum geomerrice proportionalium e lectorem circulis ellip-
  17. Seos velhrperbole; quod nocaru dionu exictimo, hinc enim
  18. collisicur sectorem differre vix vlera vnitarem a secuda dua-
  19. rum mediaru n arichmerice concinue proxortionaliu, quan-
  20. domedium arichmecicum non excedie medium geometri
  21. cum vlera vnicarem, quod summopere norandum, nam ex
  22. hoc cuidens est approximationem audacter esse adhibenda,
  23. quando ica concinuatur series ve medieras prima nocarum
  24. lic eadem in veroquerermino convergente, quod experien
  25. cia eriam enincie; nunquam enim inhroc casu distere sector
  26. vnicare a secunda duarum mediarum arithmerice ContinuS
  27. proporcionalium.
  28. Ft eriam alia approximario omniui breuissem a e maximo
  29. admiranda, eciam imihinon continsar illam demonstratio-
  30. ne geomerricamunire; nempe h prima nocarum eriens in
  31. meroquerermino convergente siccadem, sector circulis elli-
  32. pleos relhyperbolae semper differe intra rnitarem a maxi-
  33. mo quaruor arichmerice corinue proportion alium intercer-
  34. minosnostra aperoximarionis.
  35. Tchrperbola quae cunque C. P N cuius cenerum A, alym-
  36. d PEota A P, AO; Crque eius seCtOT A F C L cumeriongu-
  37. PROP. XXVL. LISCDREMA.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0048?run=74