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. 175

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: 0.90.

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The machine reads it as

  1. P. 1
  2. Arithmetica insinitorum.
  3. non possic, inveneus cR modus ejulinodi suppoliciciam divilio.
  4. nem indicandi ad hanc Formam Z vel 1 =
  5. In excractione Radicum; s proxonatur numerus resolven-
  6. dus qui non sic Cui generis rere fguracus; verbi gracia, s quae
  7. racur radix quadracica numeri 12; quoniam radix illa non po.
  8. rcstullis numeris sire incegris sre Fractis exponi, ideo invenca
  9. eA mectrodus ejulmodi R adicem suppoliciriam uccunq; indican
  10. di ad hanc Formam, V. 12, vel 2 ~ 3.
  11. Paricer, in Proxreltione Geomerrica, puta 3, 6, 12, _c. Si
  12. guaeracur cerminus novus incer 3 _ b incerponendus, dicetur
  13. ille 3 V2 vel ~ 18 vel V: 3.6: vel Force (quod cancundem ralec)
  14. a: 2 n 9: quod idem elt acq; explicatius dicere, terminus mediu
  15. inter 3 8 6 in proeressione 3, 6, 12, 8C. auc inter 2 89 in progressione
  16. 2, 9, 40:_C. Ica si incer 3, 6, incerponendi essene duo medii
  17. Gcomecrici, essec eorum prior N c: 3 x 3X6: vel VC 54 vel po-
  18. tias 3 VC2, (nempe 3 ducti in radicem cubicam communis ra-
  19. tionis 2) et lic in caeceris.
  20. Si aurem Propressio Geometrica, qux supponieur heri ex
  21. concinua mulciplicarione primi cermini in numeros quocliber
  22. inricem aequales, CpuTa 3,6, 22, 24, _C.) ex continua multi
  23. plicacione 3 _ 2 H 2X 2_C.) non Cempee admictae cerminos
  24. incermedios racionales: non mirandum cA B neqs illud concin
  25. Bac in proprestione Facta ex termini primi concinua molciplica-
  26. eione in quoclibet succedences numeros inaequales, sive crelcen.
  27. ces sire decrelcentes; (Duca 1, 2, 6, 24, _C. ex continve mulei
  28. mulciplicatis 1 X Z X Z X Z, _C.
  29. 63 10
  30. 63 A13 _C. ex concinue
  31. Ouories aurem hoc concinvic, cum illud reris numeris detie
  32. nari non possic (_ ne quidem Colis radicibus surdis) quaeren-
  33. dus eric modus aliquis id iplum accunq; exprimendi. Si igitur uc
  34. V: 3 X 6: Cignificac terminum medium inter 3 ∞ b inproeressione
  35. Geomerrica aequabili 3, 6. 12, _C. (concinue mulciplicando z X 2
  36. n 2_C.) ica nr: TIZ: sioniticec terminum medium nier F e Z
  37. in proeressione Geomerrica decrescento F 2 2Z _C. (continue mul-
  38. ciplicando r X Z de ZRC.) erit E = M: YIZ: PC prOPTerCA
  39. circulus est ad quodrarum diametri, ut Z ad m: FY Z. Oux quidem
  40. eric veca circuli quadracura in numeris, quacenus ipla numero
  41. rum nacura paricur, explicaca.
  42. Ec quidem, licuc in proxrestione Oeomeorica aquabilin 3, 22,

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 175. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0387?run=74