Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 189

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. PrOD. 19I.
  2. Arithmetica Instnitorum.
  3. exhribet Tabella. (Sed ee idem cerminus paricer exhibebitur ex
  4. ductu secundi cermini x, in rationem ex secunda _ certia com-
  5. Poticam.) Acq; ad hunc modum licebic singulos cabellae no
  6. Rea terminos indicare, adhibico nonnunquam uno quovis, (xpia
  7. us autem ne uno quidem, numerorum istorum incerminabili-
  8. um; quorum quidem nos primum, hac noca es delienacum, in
  9. cabella nostra adhibaimas.
  10. Estigicur racio circuli ad ouadratum diamecri, (per jam dicta)
  11. 2Pd. d:: 1. H =
  12. _c. Ec Cmilicee (cum hic racio perimetri ad diamerrum qu2-
  13. drupla racionis circuli ad quadracum, quia nempe = pd. d
  14. +P. d.) rario perimeeri ad diamerrum p. 8:: 4. G: de diamerra
  15. ad perimetrum d. P:: 1. 4::
  16. : T. D = B
  17. neC
  18. 9 t
  19. 64F 1024
  20. 225 256 _c.
  21. Nempe 5 g: Sc Circulus ad auacrarum Diamecri.
  22. uc Iad C B: Sic C irculi Diameter ad Pcrimetrum.
  23. Superest, uc rationem ostendam cur in astignando valorem
  24. quancicacis ei, luperius dixerim, pro Cractionis continue Fractae
  25. denominatore uleimo (utricunque sistendum quis velic) Ponen
  26. dum este, non 2, Ced vel, 3, 53 7, 9, ecc. prour locus ubi consr-
  27. Aitur pottulaveric. (quod non tam necellicatis, quam perspi-
  28. cuicaris caula Factum eM.) Oux quidem rario, tec cA.
  29. Cum lupponacur ( juxca jam cradita) AXB - O2 = 4.
  30. lItq; B = 2Z5 _ B - - 333. Adeog; S numerum 4 = O2
  31. diridamus per B (factorem posteriorem) prodibice. Si quan-
  32. titas B impertecte lumatur, non prodibir ipsa quancicas 1, led
  33. alia quae major hic vel minor, prout B imperfecte lampta, lic ipla
  34. B accurace, minor vel major. Nempe Apro diricore B sumarue
  35. 3. dirisione Facta, pro e prodibic 1 Z: si pro diritore 3E0
  36. prodibie 1 23: (1353 sprodibic 1 23 25. EC sic deinecps: UE
  37. exiplo calculo pacebii.
  38. LC SC in B = 35Y, C =- 8 105, D = 7 1aL, _C. Faciendum
  39. FIE. Nemec inB, denominacor ulcimus erit unus ex H155,7, 9.
  40. Et C C 3
  41. IX

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 189. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0401?run=74