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. 117

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. pi
  2. ve Dsi 2d C; eodemq: modo arcus RL CC ad AveM ABUTH
  3. AE CuOLUEA DE Ps CE ad C _ idcOvcarCUS BC ad rectum PL
  4. ita arcus Ce ad axem Egurae AE cuolura, de permurando, re
  5. arcuS BC ad arcum L B iEA reCCA FI ad axem AgurA AF cvo
  6. luca, ae racioarcus BC ad ArcuM LP eA Compolica ex ratione
  7. arCHS BC adBID de ex ratianc arcus BD ad arcum L F scureCtE
  8. CA ad rect EEA, Se ideo recta FI CH ad aXem AGurE AB evOlU.
  9. te inrarione copoliea exracione arcus BC ad AECUM BD SE CX
  10. racione rectae C A ad rectam F A; Ced rariO C A ad F A eAt imul.
  11. ciplicara rarionis BC ad BD in racione P ad O, de conuerten-
  12. dos componendo de rursus converrendo, racio AC. ad AB Peu
  13. IXadCHIeA malciplicata illiusracionis (quae componieur
  14. exracione arcus BC ad arcum BD de ex racione recte C A ad
  15. reCtaM E. A) nempe rarionis rectae llad axem AgUTE AE CuO-
  16. lurae in racione P adP. 2. Sed rarioTK ad G: FI est mulcipli.
  17. Cata rationis FI ad FCin racione P ad P O; a proinde F. C
  18. esaxiS ASurA AF cuolutaes Puncque FA, CiHI, aequales; e idco
  19. (cum hoc semper Hac) manifectum est ex huius r4 e eius
  20. consectario Aguram FFIKI eNC Aguram AE C crolucam, quod
  21. demonctran dum eraE.
  22. Figura FITKI est illa descripea in huius 5 q, cumque pore-
  23. ric inreniriresta illam cangens in puncto dato ope huius 73
  24. porerie quoque (exconfectario huius 18) recta duci spira-
  25. lem AEC. tansens in puncco daco: Caepisime criam (VEDaTCE
  26. ex hViuS 58) inveNIEUFRECEA aequAIIS CUEVA FHIK, quae eciam
  27. aequalis eA spirali CurVa AFC.
  28. Ope huius +5 vel 26 nullo negorio probatur secrorem
  29. BAC esse ad spacium spirale AEC UC 2P F Pad.
  30. P R O P. 65. F IZ F O R E M A.
  31. Ic circuli secror C AB includens spiralem AF C caliSMAS
  32. cura, ve (ducrrecta quacunque AF producta arcum le.
  33. CanECin D) rasiO D ad BA SC mulsiplISaTA raTiONISC. D ac

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 117. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0133?run=74