Leibniz Legible

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. 7

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.

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The machine reads it as

  1. proindemaior eA differenria ineer huec rectangulas qua incer
  2. superticiem cylindricam de mixcilineum; ledrectangulorum
  3. differentia est rectangulum X in difterentium rectarum 7A.
  4. q;ectaucem differencia rectarum A, 7v. minor recta B Cx
  5. Coppolitione; _ ideo differentin inter rectangula X in FC,
  6. B9, A7, Simul, d X in FC, B9, V7, Simul, minor es quancica-
  7. ee an nempetacro ab X in B, hoc es ex policione differentia
  8. incer superticiem cylindricam de mixtilineum, quod est ab.
  9. Curdum, ostensa enim est maior, superticiesisirur crlindrica
  10. e mixcilineum (une aequalia, quod demonstrandum erat.
  11. Duod S curus 7D non fuerie simplex sed sinvolas diriden.
  12. da est in plures simplices, de demonstratio in rnaquaque
  13. Peorum insticuenda:
  14. Sivero tansens7 A Fuerie perpendicularis ad recram 78,
  15. mixcilineum PHL. EIsE exrendecur in infinicum ad parres P:
  16. hoccamen non obstance; dico adhuc mixeilineum PNL. IIS2
  17. equale cse superkicici crlindrici recti super curra 79 Cil
  18. cuius alcirudo X. Si non lunt aequalia, sic (si heri pocele)
  19. mixcilincum maius (uperhcie, _ FCCEA NZ FCCEA HS P2PaI
  20. lelta ablcindatur mixtilineum NLFIsS aequale superticiei
  21. super curua gCD, hoc enim absque dubio heriporelt: co-
  22. demque modo, quo ances demonseratur miscilineu HL. HIdS
  23. aequale esse superticiei super gC. D; (unc ergo aequales, su-
  24. perficies cxlindricirecricuius alcicudoZ, luper curvis gC V,
  25. 79C D, quod elc absurdum; mixcilineum erso PNL. HS2nOn
  26. elcmaius dicta superticie cxlindrica: lic (si heri POcelE) mi-
  27. nus; e abscindatur oD curva, ica uc superticies exlindrici
  28. recti super gD exilcens, aequalis Eac mixtilineo PNLHS2,
  29. ee ducacur 3 9 N reccae H d paralleIla: dCIOBSETAEUF VEANEC
  30. superticiem cylindrici recti superoD existenrem, aequalem
  31. esse mixrilineo HLHB3; sed ex suppolirione eadem lupeck.
  32. cies cylindrici rectia qualis ele mixcilinEO PNLHdZ; mixri
  33. InERErBOPHLHSES NLHS3, suncinter se aequalia, quod elE
  34. ablurdum; ec ideo mixtilineum non ese minus superticier
  35. sCd

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 7. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0023?run=74