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Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, 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: 0.86.

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

The machine reads it as

  1. ia
  2. AM
  3. ei laper OB cenerum aequilibeii in bale Cis de porrionis su
  4. perhcieirorundae exea geniea centrum grauitacis FI. mani-
  5. Fectum est puncta C, E, C, esse in eadem recra, icem e C F
  6. eAe ad F. C uc superticies crunci luper OB ad Cuperticiem
  7. crunci (uper A B: eodem modo pacet puncea D, F, TI, ene im
  8. eadem recta, irem DF eNC ad FHI reporeio luperhciei rocun-
  9. dae geniex ex OB ad portionem luperticiei rocundae Beni
  10. ex ex A B; Ccd porriones superticierum rocundarum incer
  11. Pe Tune in directa proportione superficierum truncorum
  12. ur colligitur exhuius 24; Xc idco ve C F ad F. C itaDF ad FFI.
  13. producantur recex C D, F. F, CFI, donccrectam Lh lecene
  14. in puncris L, M, N; cum puncca D, FI, sinc cenera Brauicacis
  15. arcuum circularium in quibus rocaneur puncea C, Cn mani.
  16. Fectum esreCEASC DL, OFIH, ese axi rocationis IK normI.
  17. des de incer se parallellasi _ ideo recta E. F.M cidem IK est
  18. eAnormaliSI CUM AIEVECF ad F Cita DF 2d FHI; e proinde huiusi
  19. AEL D ad L. C vel NIT ad NG ICA MF adM E, (Cd D, FP, sUnE
  20. Cenera grauicatis arcuum circularium limilium in quibusro
  21. Eaneur puncta C, C; se igitur punctum LCM etiam cenerum
  22. Srauicacis limilis arcus circularis in quororatur punctum Lis
  23. quod demonstran dum erae.
  24. Fodem modo demonstratur hoc cheorema quando ra
  25. aliusrocacionis lineas lecac in cribus punctis supponendo
  26. hanc propositionem, sicuchaec supponie huius 40 e sic dein-
  27. ceps (quando secatur line a in pluribus punctis) aMEexIOTeS
  28. demontrationes lemper supponendo.
  29. P R O P. 43. Y H F O R F Mt A.
  30. ldem poticis quae in huiuss; dico solidum rocundum
  31. d
  32. genitum ex rocatione Agura ABSO circa rectam AB
  33. esse ad exlindrum genicum exrocacione rectanguli ABR O
  34. circa eandem AB, re superticies genitA ex rOratiONC CUrVR
  35. Acirca eandem AB ad circulum ex radio AO. ABUrA ABSO
  36. EH proporciomalirer amalosacurrae A C e idCOCCNETA GFa-
  37. la 2
  38. vitatis
  39. huins.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 83. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0099?run=74