Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 83

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: 0.88.

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

The machine reads it as

  1. Ei super OB cenerum aequilibrii in base C de porrionis luo
  2. perticieirocundx ex ea genica cenerum gravicacis II. mani-
  3. Fectum eA puncta C, F, C, esse in eadem recta, item e C. F
  4. ense ad E: C ne superticies crunci luper OB ad superticiem
  5. erunci luper A B: eodem modo pacet puncca D, L. FI, Cnc im
  6. eadem recea, item DF eNsC ad FFI re porcio superticiei rocun.
  7. dae geniex ex OB ad porcionem lupertciei rocundae geni
  8. ex ex A B; Ced poreiones superhicierum rocundarum incer
  9. se sune in directa proportione superticierum cruncorum
  10. ut collisitur exhuius 24; de ideo ve CF ad F: C ita DF ad FFI.
  11. DTOdUCRNEUF RECEK C D, F. F, CrII, donccreccam IK secenE
  12. in punccis L, MI, N; cum puncta D, HI, sine cenera grauicacis
  13. aecuum circularium in quibus rOEaneuE puncea C Cn mani-
  14. FelUm eARECEASCDL, GFTN, ele axi rocacionis TE normI.
  15. les de inter (e parallellaS; e idCOrecra F: F M eidem IK cAt
  16. CAnormaliSd CUM (IE VE CE ad F. G ita DF ad F. FI; ee proinde nuivs
  17. vEL Dad L. C vel NHI ad NI C ita MF adM Es (ed D, IP, Cune
  18. centra srauicaris arcuum circularium similium in quibusio.
  19. EaNEUT PunCTA C, C; de isicur punctum L. es eriam centrum
  20. Gravicaris similis orcus circularis in GuOrOEATUE PUNCEUM Lis
  21. quod demonserandum erac.
  22. Podem modo demonstraeur hoc cheorema quando ra.
  23. diusrocacionis lineas lecac in cribus punctis supponendo
  24. hanc propolicionem, scurhaec supponie huius 40 ee sic dein-
  25. ceps (quando secacur linea in pluribus punctis) anteriores
  26. demonctrationes semper supponendo.
  27. P RO P. 43. Z H F O R E M A.
  28. IEdem politis quae in huius6; dico solidum rocundum
  29. genitum exrocatione Agura ABSO circa rectam A B
  30. elle ad erlindrum genicum ex rocacione rectanguli A. BR O
  31. circa eandem A B, Ve luperticies genita ex rocatione currae
  32. AOcircs eandem AB ad circulum ex radio AO. AGura ABSO
  33. EA
  34. 2
  35. Proportionaliter analosa curra A Oe ideo cenera sca. huiun
  36. ViEaCIS

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 83. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0167?run=74