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. 107

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. 1
  2. per ACIKVED 202d9, quod demonttrandum exae
  3. Acque ex huius 5 4 Parallelopipedum super a B IK cs ad
  4. exlindricum ciu sdem alcicudinis suDee AC. IK rc P if 2 3d 9
  5. hoc est ve PF 2 Oad GPF2OQ; de ideo paralletopipedum
  6. PIFO
  7. super ABIK alcieudinis AK est ad eruncum superiorem cxlin.
  8. drici super ACIK eiusdem etiam alcicudinis AK vE PP f.3PO
  9. 2ad4; aeque calis eruncus superior idem est cum
  10. inferiore ciuldem cylindrici crunco relecto a plano balem
  11. Teminormalicer secance in recta IK, _ ideo eiuldem parallo-
  12. pipedi ad hunceruncum interiorem eadem clracio.
  13. Fx huius 29, 56 8 57 manifectum est centrum aequilibrii
  14. RourE AC IK ica dividere rectam IK, VE pars versus IsC ad
  15. parcem verlus K in rarione 3P,F. adP 9. icemcentrum
  16. aequilibrii ciusdem ACIR ita dividere aR, uc paIS verlus A
  17. sic ad parrem versus R in racione D. F 2d.
  18. In duabus praecedencibus, cciamlifacilicacis creria Cup.
  19. ponacur A BIK rectangulum, concluliones camen nonmi.
  20. nus rera lunt de Parallelogram mo quoliber; nullo enim ne-
  21. Bocio demonatrantur ex aequalicace et analogia in magnitu.
  22. dine ee gravitare cruncorum luper rectangulis ee corum A.
  23. suris cum truncis super parallelogrammis quibuscunque de
  24. eorum tiguris; quod eciam in sequencibus de Aigurislongi.
  25. endine infinicis incellisi relim.
  26. PROP, S8. PROBLEMA.
  27. E TEAEE anguluS reCUS CEguE CUrrA ADF calis RATuTA, ve
  28. (ducta recta DC ad libicum perpendiculari ad AF) 12-
  29. EiOFF ad CD sc mulciplicacA rariOnIS AE ad AC in racione
  30. numeri imparis cuiuscunque ad numerum proxime minorem;
  31. Oporcet invenire rectom aequalem CUEVA AVF. v. 8. SIcraciO
  32. EF ad C D mulciplICaCA FaTiONIS A F ad A C in rATIOnC 5 ac
  33. Hi AIEquE (OpChuIUS 2)ur recta AE. ad curuam AF iCa re et An-
  34. BuLH
  35. re
  36. P

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0123?run=74