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. 167

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: 0.89.

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The machine reads it as

  1. C R P. 20.
  2. Alsebricae Speciosa.
  3. rerea (nocasillas inhas, ubi opus exic, relolvendo) a 2 -- 2g.
  4. 27 = 2 = 2 = - 22a. 2= = 2 7 a = 2 = 2 2 = d a = aaaa. QC.
  5. Icem A9 = AA. AC = A9A = A A9 = A A A. A99 = ACA
  6. =AGR9 = AAC = AAAA. EEC. SIC 2AGX 3AC CA BAA X
  7. ZAAR. _ 23+ ∞ =(8 sCU 2 X28 IN 29XZCX2. FE CONITA
  8. A) Ag9 CAC, hOC CA A) AAAA (AAA. 25) (8 (X, hOC CA
  9. 2X28) 2X 2X 2X 20 x 2 (Z X H + 4. Sic a) a Ca=
  10. hoc eHata) aanaa (44. FESC in aliis.
  11. Ouod autem aetinet ad signa F e , in mulciplicationis Desienis
  12. Producto, vel diritionis Ouociente, ponenda; haec obserranda p
  13. est Regula.
  14. In Multiplicarione e Divisione, si datorum fiena sint similia, Pro-
  15. ducti vel Orti sienum erit +. Caffirmarivum:) sin dissimilia, (ne-
  16. cativam.) Nempe + per F, vel per an dac F, Csive mulei
  17. plicando sire dividendo;) et + per vel = per F, dac
  18. Vel etiam (quodcantundem valet) Si mulliplicatoris vel di-
  19. visoris soenum sit F. Matriplicandi vel Dividendi sienum retinetur; fin
  20. mutatur. Nempe + Per F dat F, et L Per + daC ; item
  21. + Der = daC , _ = Der daC +.
  22. Ratio sive demonstrario hujus, ab ipsa Nulciplicationis &
  23. Dirisionis nacura pecenda cA. (Ovales ego malim, ubi tieri
  24. pocest, alterre, quam demonstrationes a posteriori.) Quam
  25. isicur in Engulis casibus octendam.
  26. Malciplicacione suxponicur quancicas Nsulciplicanda cories
  27. apponi quocies mulciplicaror indicac, uc ex lupra dictis caD. 18.
  28. Paccc. Adeog; qui quancitacem quamtibet (sive policiram live
  29. ablericiam) mulciplicar per 3 vet F 3, ille candem quancicatem
  30. Clignis immucacis) cer Donic; qui per 2 vel + 2, bis ponit; qui
  31. per Tvel + T, Cemel tancum; qui verover o, ne semel quidem.
  32. Sed nullies ponic, (adeo9; quanticas quaeliber, per omulciplia
  33. caca, evane(eir: ) qui RUTeM PEr 13 3, = 3, Qc. mulci
  34. plicac, tsc vicibus paucius quam nullies ponic, ( cum T.
  35. 23 = 3, 8cC. lineminus quam nihil, Ecu paucius quam nul-
  36. Dum,) hoc est revera corieo rollit, (per ea quae diximus C ap.
  37. XV. delignis F e concrario senlu exponendis;) qui vero
  38. collic, ille cancundem apponie muraco tigno, (uc ex lesibus
  39. Subductionis C aP. XV. PateT:) Ec propcerea qui mulciplicat
  40. PCF.

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. 167. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0213?run=74