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. 27

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: 0.88.

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

The machine reads it as

  1. IOOratAMMa ABGO, DEHS, _ prOduCANEur reCtX AO, NS, UE
  2. concurrane in 1. dicocraperium AD F. B maius essemixeili-
  3. nEOADLO. ducatur HIKEparallela ec ae qualisrectae AB; m2-
  4. niFeCUM CA EFAPCZIUM ADEB eNC Xquale ErAPCZIO ADMR
  5. IECM _E EFADEZIUm A D MR maius cNCErAPCZIO AD L O, X
  6. ideo mulcomaius mixtilineo ADL. O; PATeF ergO ProPOlI-
  7. Tum nemDCErEDeZIUM ADEB maius ese mixcilineo ADL. O.
  8. PEODUCLEUFRECta D C in C: dicorectilineum ABF Id C
  9. minus esemixeilineo A D SO. ducacur recta C F. parallela
  10. rectis AB, 1DE, _ C R parallela rectis AO. DS: PAFCEFrapC
  11. Zium ABF C esse aequale craperio AC R Q d craperium
  12. CFFD eRe aequale trapezioC BL I; ee proinde rectilineum
  13. ABEDC aequale eAt rectilinCO ACDLIRC, quod minus cA
  14. rectilineo ACDSO; _ ideo rectilinCUm ABELC. mulcomi
  15. nus estmixtilineo ABSC qua demonstranda erant.
  16. P R O P. FT. Y H F O R P M A.
  17. Ie spacium mixeilineum quodcunque ABKI comprehen
  18. lum a curva BR, recta AI e duabus rectis parallelis
  19. BA: X I; SEque Curra M Y calisnacurX, ve (Cumpeo in curra
  20. Bk quoliber puncto C de ex eo ducta recta C. F purallela rc.
  21. etae AB, _ reCtA C Z CUIFVAM BR CONEINOCNEC FeFMINATA A FC-
  22. Eta AB si opus ect, producta in L.) recta PZ semper (ic ae qui-
  23. lis recta CS ParaIIelX reCtE A Z _ Terminaca d CurU. Y M.
  24. dico mixcilineum BRM Y, comprehensum e curris BK, i Y.
  25. _ rectis BY, KEM, rectae AZ Parallelis, elle aequale mixcili-
  26. neoB AIK. Si non (unc aequalia; sic eorum differencia X; _
  27. dividacur currilincum BRM Y a FOFreCtIS CS, CFP, KM, rectX
  28. BY parallelis, re (ductis rectis OM, IN, FR, Y V. paralle.
  29. lis rectae AB) omnia parallellogramma O N, O Z, IV, limul
  30. minora line quam X, hoc enim hieri porest ab indetinico p2-
  31. rallelarum numero. ducantur subcendences recta BC. C C,
  32. vk, e cansenres in punctis B, C, Cn R, BD, DF, F L, L. K: ma-
  33. 2
  34. nitectum

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 27. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0043?run=74