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. 3

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: 0.85.

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

The machine reads it as

  1. 2
  2. EC
  3. 10
  4. Est
  5. RBL exceNUM LECGTIK supra rectam RI maiorem eNse ex.
  6. CENU OMMIAM LCCLAAU RFS. FF, CA, Emul suprA CurrAM RB.
  7. producantur tangences AC, F F, ad proximas perpendi-
  8. culares versus Kin C d L. Cx primo propoliros AC est maior
  9. CVErA BC, FF MaIOE CUrVA FC, _E FIK MAIOT CUIEVA KF; e
  10. ideo omnes simuIRII, FF, CA, Cune maiores incegra curra
  11. KB: deinde ex secundo propolico BD, hoc est, RI minor cR
  12. CurraBC; _ C C hOCCR, C A minor eA AECU FC; _E LF,
  13. hoc eA, FF minor eAarCU R F; _ ideOOmnes KI) FL, CA.
  14. limul sune minoresinteora curra RB; e ideo maior est ex-
  15. CetuSreCarUM KHIB FF, C A, SuprA rectaS HI, FF, C A, quam
  16. Lupra curram XB; (ed rectE FF, C A, sune communes urrique
  17. rectarum summe; e idco excessus rectE KHI Cupra rectam RI
  18. ek aequalis excesui lumma reCtarUM XHI, FF, CA. CuPEA
  19. summam rectarum RI, FF, C A; qui demonstrarus est maior
  20. excellu rectarum XII, FEs CA. Cupra curram RB, quod de-
  21. monstrandum erot. Si vera curva fuerie conrexa ad rectam
  22. Mes ve in secunda AgurA, X deDCE CNC pUNCtUM CUEVK a FC.
  23. etaMP maxime remocum, de aliquoc demonstracionu ver.
  24. ba Cunc mucanda, licur per (e incellis ee inductrius L. ector.
  25. PROP. 2. YH FORPM A.
  26. lecurra quaecunque 79C D simplex, Ccu non linuola,
  27. (Ei enim Fueric sinuoles oporcet illam in plures simpli-
  28. ces diuidere) super qua imaginetur superticies cylindrici
  29. recti, cuius alcicudorecta X. 2 puncto quolibet curuxe nem
  30. Deo in quamliber rectam nempe 26 demicratur recta per
  31. pendicularis 93. e dueatur in eandem 26 recta 9B CUrVaM
  32. perpendicularicer lecons in puncto 9. producarur rect a 38
  33. in S, Uc 35 Anc aequalis recte 96, idem quoque suppONIEuF
  34. tieri in omnibus punctis currxe 79CD, ita ve ex rectis in cur.
  35. ram perpendicularibus per propria sua curre puncta ad re-
  36. Atam 26 normalicer prorraetis consetur sparium RV d2a
  37. CIEVA
  38. 1.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 3. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0019?run=74