Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, 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: 0.78.

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

The machine reads it as

  1. qu
  2. dit
  3. 2iOL
  4. tiIi
  5. BM
  6. 21d
  7. UA
  8. di
  9. A.
  10. UI
  11. CC
  12. IO
  13. nO
  14. Is
  15. ute
  16. UB
  17. AA,
  18. N
  19. ouloADFTE, Sed ex pexcedente ongulus involutionis re
  20. Ctanouli AC C F maior est angulo inrolurionis ADTIF, de
  21. proinde angulus involurionis rectilinei ACCTIMI inuoluri
  22. maior est angulo involurionis rectanguli ADMI: eodem
  23. prortus modo (A ducantur rectae RB. VZ, Parallele rectis
  24. AB, TMI, _ recta R a, V X, parallella axi AI, ut compleatur
  25. rectilineum AaR BCTXVZ MI) demonstrabitur eius anou-
  26. lus involutionis esse maior angulo inroluriouis rectilinei
  27. ACCFIMI, e proinde muleo maiorerie angulo involutionis
  28. rectanguli ADMInempe SNX, supponimus enim lectorem
  29. SHIX ese rectangulum ADMI inuolurum: deniq; eodem lem.
  30. permodo demonstratur, quod, quominus differe rectilincu
  31. circum Peripeum a figura ABMB, co semper maior AC exceltus
  32. anguliinrolurionis rectilinei supra angulum SNX, ee ideo
  33. muleo excedit angulus inrolutionis ipsius Agura PNX angu-
  34. lum sNX, _ proinde Agurae evolurae axis AI seu arcuS d_
  35. mulcominor est arcu OZ, quod demonstrare oporruit.
  36. PROP. 14. PROBLEMA.
  37. Fic data Reura involura, ejus dem evoluta auem invenire.
  38. Ie figura inrolura I. BK, cuius erolueae oporrec invenire
  39. D AXCM. C CHETOL HE CirCULI AECUS ME; lEque AcurAOP78
  40. concenta: ceris parallelis OP, 87, receaque OB illas norma
  41. licer seconce _ linea Py calis nacurae, vc (in involura sumpra
  42. qualiber recea L. C produera in H, icem in AguraOP 78 du
  43. CrareccaSV recex O8 perpendiculari ex cam secance in ra-
  44. EIOnCMH ad NE) 87 scadSV uE LK ad L. C. dico receansulI
  45. circum scripeum OR 78 eNC ad AGUTaM OPZB UE AECUSMK ad
  46. AXCI AIDUTA L BIE cuolVEX: A nOn SC iEA, SIEVE OR 78 ad O P
  47. 78 IcaMK ada, quae disferat ab axe tigura L BR cuoluex qud
  48. citace s: deinde c cenero L. circum lcribancur sigura involu.
  49. ex L. BC Similes arcuS circulareS AC, FC, HIK, e eidem in-
  50. Tcri-

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0049?run=74