Leibniz Legible

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 8

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: 0.89.

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The machine reads it as

  1. sed eriam demonsrrarum ele, nec esse maius, superticies ige
  2. tur cylindriei recri super curva 7D cuius alcicudo e(c X,
  3. aequalis esc mixrilineo P NL. H82, eciam quando cangens
  4. 7A recEa 78 ese perpendicularis, quod demonserandum
  5. eraL.
  6. Fix demonseratione manifeltum ese mixtilineu PHLFISL
  7. e superticiem exlindricam super curra 79C. D esse quanci-
  8. racesmagnieudine e grarieace anal09as, quoniam eadem
  9. aequalicas quae demonseratur de inceoris, eodem modo de
  10. monteratur de parcibus carum proporcionalibus; de ideo
  11. earum cenera aequilibrii eodem modo diridune receam 28:
  12. Ted ipla curra 7D ele magnitudine e gravitare ana loga
  13. cum superticie cxlindrica; de ideo curra elc eriam magni
  14. cudine e graricare analoga cum mixtilineo idem cumre
  15. liguiscenerum habens aequilibrii in recea 2 8. perspicuum
  16. quoque estmixcilineum PHL. FIS2 eAe ad rectansulum X. in
  17. 25, UE Curua 79CD ad recram 28.
  18. P ROP.
  19. 3. T H F O R F M A.
  20. IIdem potieis quae prius; supponatur praedicca (uperf.
  21. cies cylindrici recei super curra 79DC Cccari a plano
  22. perrectam 2d transeunte, de in angulo lemirecro ad planum
  23. Od2 inclinane. inferiorem superticiei cylindricae partem a
  24. plano secram apellamus trunci superticiem. Dicotrunci su-
  25. perticiem aequalem ese mixtilineo RSPVSZ. LUPPONAEUT CX
  26. cendicurra 79C D in rectam sibi aequalem e 0 a, de iuna
  27. acurrecra ax aequalisrecta L, uE compleAEUE rCCTANSU.
  28. Jum Bx a R, quod necellario aequale esc eam (uperhiciei
  29. exlindrici quam mixtilineo PNL. HS2. Sic R it aequalisre.
  30. CTK 273 de a puncco ducatur curra t St calis NATUEX3
  31. uc sumpea recta quacunque F Z Equalicurra particulae cui
  32. cunque nempe 79. perpendicularis ad reCEaM R. A CK
  33. DUMCTO Z in curram St, nempC _ , AaF ae qualiS DErPeM
  34. dli.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 8. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0024?run=74