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. 29

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: 0.87.

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

The machine reads it as

  1. micelcumala praceaato erapeulua Lab a alusel
  2. mixcilineo BCSTicem d craperium CtlC maius essemir
  3. rilineoC CP Q e traperium CTIIK maius ene mixtilineo
  4. GRMO, e ideorectilincum A BC C RImaius est mixcilinea
  5. BRMOPQST. Pater quoque ex ancecedence rectilineum
  6. ABDCE minus esse mixcilincoBCVY _ rectilineu ECFOFI
  7. minus esse mixtilineoC CrR S de rectilineum II C, R I minus
  8. mintilineO GKNP; ec proinde rectilineum ABDEL RI minus
  9. CAmiXFIlInCO BRHPRSVY: cum igitur mixcilineum BATL
  10. Consistac inter rectilinea ABCOKEI; ABDFLEI e mixtiline
  11. BXML Y consiltat incer mixtilineA R M OPOSTB, RNPRS
  12. V Y B, icem rECtilinCA ABC GKI, ABDFLKI COnSStAMEIMEBE
  13. mixcilinea BRMOPOSI, BRNPRSVY, monifectum est mix-
  14. cilinea ABKI, KM PB, minore quancitare difterre quam mix
  15. EiLInEA BKMOPQSTI RNPHSVYB, Sed horum differentia ex
  16. suppolitione est minor quam , e ideo diftereneia mixeili
  17. ReOTUM ABKI, BKM Y, est muleo minor quam X, quod elt
  18. ablurdum, ponitur enim maior quam Z; nulla ergo est diste-
  19. reNEIZ INEEF MIXEILINCa ABKI, BKMX, ec ideo aequalia lune,
  20. quod erae demonstrandum. Eiadem ferc esset demonstrario
  21. in duabus praecedeneibus, criamsi conrexitas currae BK eNCE
  22. verlusrectam A I.
  23. l
  24. I F I N I T IO NL S
  25. EIFuerit Agura AB F F comprehensa a rectis parallelis
  26. AB, FF recta AF Parallelis normali e a B F liner qua-
  27. libet, item Agura CFIK comprchenlaa rectis HI, GR, (ita
  28. HE EHI siE aequalis recta AB _ CDH reCtA L F) de linea HIK,
  29. quae eriam aequalis est linea B F, hac lege, ur, sumpeis ad li-
  30. bicum lineis aqualibus BD, HII, iuncta recta OT Aac aequalis
  31. rectae DC. perpendiculari ad reetam AF: appello tiguram
  32. GHR, Asuram ABFL inroluram; _ sipuram ABFB Aguram
  33. DHK CrOLUFaMa
  34. ppCl

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0045?run=74