Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 108

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. 4O8
  2. De Auditionis es Subduetionis Speciosa.
  3. CAP. 26.
  4. errorem, si quis prius commissus fuerie, denuo incidendi.
  5. Ouod aucem de Addirionis probatione in addendis nume
  6. ris abloluris dicrum ek; paricer eciam in addicione Algebrica
  7. _ Speciola locum habet; ur de in addendis quancicacibus plu-
  8. rium denominacionum. Nam ee hic eadem omnino racio ob
  9. rinet quae superius, ur non sc opus alia demonstrarione. FX-
  10. Templa lunco.
  11. lib. unc. drach. serup. er
  12. Adde l13. 9. 5. 2 , 18
  13. 5= 6 2. 2. C
  14. Summo 16. 4. 0. I.
  15. Subduc. 2. 6. 2 2. C
  16. RCKat. 13. 9. 5, 1.. 18
  17. 2 Q F 1R + 3
  18. Ba 2R mrC Additio
  19. Sd TR +2
  20. 3d = 2R n IC Subducto
  21. 24 TR Y 3
  22. E A +3B n C + 2D B +3b= - 5b=
  23. Addicio 3a
  24. 22C. - D 2b b = + gb=6C addies
  25. =4A + 3B F C + D 3b + 2b- B+ 5
  26. Subdu. D ZA
  27. +3C. uD 2b3 = b 24 ab + 6C subduc.
  28. E aF 3B n C42D. B + 30 -5b - 2
  29. In Subductionis probarione, eadem Fere methodo inceden.
  30. dum eAt, qua in probarione addicionis: scd vice verta. IIEc.
  31. nio subducendo examinacur addicio, ica addendo examinan
  32. da eh lubductio. Nempe, liquencicas ablaca e Relidua Cimul
  33. addica consticuane quancicarem primo provolicam (unde nem-
  34. Dealcera auterenda erac) indicium eA operarionem rice pro-
  35. celtisse; Cin secus, erracum eR. Nam Ablarum ex Residuum (mul
  36. aequantur Inicoro (quippe Tocum luis Parribus Cimul Cumprisi)
  37. 1de09. s Residuo restiimatur Ablarum, redibit Inteerum. LX CempIL
  38. gracia. Si exnumeroquinario, au
  39. teracur binaeius, de ternarius luper.
  40. elle dicacur, patet operationem
  41. probeperactam esse, quia numeri
  42. binarius _ ternarius (ablatus _E re-
  43. Tiduns) simul addici consticuune qui
  44. narium. Ouod icidem in coridem
  45. punctis octendetur; nam si puncto.
  46. um guinq; deselts clobus, cria dicancur superesse; rerum il lud
  47. este liquer, quoniam A cribus illis reliduis resticuaneur duo
  48. ablaca
  49. Probatio
  50. Subductionis

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0156?run=74