Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 33

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. oulo ADHTE, sed ex praecedence angulus involurionis re-
  2. ctanguli AC O F maior est angulo inrolurionis ADFTF, ee
  3. proinde angulus involurionis rectilinei ACCTIMI involuri
  4. maior elt anculo involucionis rectaneuli ADMI: eodem
  5. prorlus modo (s ducantur rectae RB, VZ, parallele rectis
  6. AB3 TMI, S reAX R a, VZ, parallella axi AI, ut compleacuE
  7. rectilincum Aa RBC XV ZM 1) demonstrabicur eius angu.
  8. lus involucionis esse maior angulo inroluciouis rectilinei
  9. ACCTIMI, ec proinde mulco maiorerie angulo involucionis
  10. rectanguli ADMInempe SNX, supponimus enim sectOrem
  11. SNX ese rect on gulum ADMIinuolucum: deniq; eodem lem.
  12. per modo demonstratur, quod, quominus diftere rectilineu
  13. circum Ceripeum a figura ABMB, eo semper maior (c excellus
  14. anouliinvolucionis rectilinei supra angulum sHX, ee ideo
  15. muleo exce dicansulus involurionis iplus AguFA PNX anou-
  16. lum SNX, e proinde Aigura eroluex axis AY Peu aECUS SX
  17. mulcominor est arcu OZ, quod demonstrare oporruit.
  18. PROP. I4. PROBLEMA.
  19. Ex data Reura involura, ejusdem evolutae axem invenire.
  20. Te figura involura L. BK, cuius eroluex oporrec invenire
  21. a D axCM. C enErOI. sic circuli arCUS MR; SEque Agura OP78
  22. concenea rectis porallelis OP, 87, receaque OB illas norma
  23. liter (econce BE linea P7 calis nacurae, vc (in inuolura sumpea
  24. qualiber recea L. C. produeca in N, icem in Aigura O P 78 du-
  25. CTdreCtaSV rectXD 8 perpendiculari es eam secanee in ra-
  26. tioneMH ad NI) 87 AC adSV uE L. K ad L. C. dicorecrangulu
  27. circum (eripeum OR 78 eAC ad AGUTAM OPZ B UE AECUS MR ad
  28. axem ABUTA L. BIE cuoluca: S nOn HF iCa, sEVE OR 78 ad OP
  29. 78 IEaMK ada, quae differat ab axC AGUrX L. BK evoluea qua;
  30. cieare s: deinde c cenero L. circum leribantur Agura involu.
  31. exe L. BI SimIleS AICUS circulereS AC, EG, HIK, de eidem in-
  32. sCri-

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0117?run=74