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. 109

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. 25 alct; de proinde rrilineum 6OLI C( 1024 (c3 12815+
  2. 6256+
  3. 287562 62563
  4. 236lc5, idco recta AF es ad curuam, AF VE ba seu reCtAR-
  5. 3725b4
  6. Sulum AC: NF a d ba F ca = 2024 (c3 - 7281c4 - 256lc5 TCU
  7. 187562 62563 312564
  8. mixcilineum AC L.F, dacur isirur recta ae qualis currae AF, quae
  9. inveniende erse. Quomodoinvenineur superticies Facta ex
  10. rocacione curra A F circa rectom A C. cuidens elt ex huius
  11. 45. Quoniam ex huius 57 Facile est invenire centrum orari-
  12. cacismixtilinei ACFF. quod si in aequatione reducta, ex vna
  13. Parce invenca Fuisset non 2 scd 22 (quod semper accidie, (1.
  14. raciOFF od C D sic mulciplicaca rationis AE ad AC in rario-
  15. nenumeri paris ad numerum proxime minorem) invenea
  16. EUISTCE EANEUM (UPCTFICIES GENIEA CX FOFAEIOHC CUIEVK AF
  17. circarectam AC, repat et ex huius e3 _ 43.
  18. P R O P. 59. F E FO R F M A.
  19. en Tc parallelogrammum ABF F, seque curra F C: HI ealis
  20. anacurae, ve (ducta recta quacunque C+ Parallela rectae
  21. AB Curram F FI secanCC in C: _ rectam BF in D) rario AB
  22. ad CC Et mulciplicaca rationis BD ad BF in rarione P ad.
  23. dicoparallelogrammum AB FP ense ad ficuram longicudi-
  24. ne inANIEaM IIAEFOHI DE( = P adG. producatur recta BF
  25. in M _c ducatur curra MKHIcalis nacura, ve (duccta recta C5I
  26. tangence curram F. C HI in quoliber puncto Cr d ductis pa-
  27. rallelisCC, KI) recta CK lic ae qualiS _ Parallela rectae C I:
  28. manifectum cst ex huurs7 rectam AC. ad CI vel L. C ad CK
  29. eHe veP ad G, cumque hoc semper hac, cuidens est figuram
  30. HIFBH CNC 3dEgUrAM HI FM HL UE P ad G, aEque ex huiUS
  31. IF ABUTA EI FM HI est aequaliS Agura HI AF FH, e idc0
  32. figura EIA E FH elt ad Liguram H F BH ve Q +a P, 8 Per
  33. conuertionem racionis. H AL F HL CH ad parallelOBram
  34. tDum

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0125?run=74