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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. 168

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. De Mulliplicatione es Divisione
  2. C A. P, 20.
  3. Pet 1,2, 3, _C. vel alium quemvis muliciplicatorem afirmacio
  4. rum, is quancicarem mulciplicandam cories ponic lerraco 19-
  5. no; qui vero mulciplicat per in 1, _ 2, = 3, _c. auc alium
  6. quemris mulciplicatorem negativum, ille quantitarem mulci-
  7. plicandam cories vel collic vel (quod cantundé est) sub contra-
  8. riosisno Donit. Ouod erat ostendendum. Adeoq; A + 2 = 2A,
  9. AX 2 = no 2c8, RX2 = 2R, RX 2 = 42 A
  10. (nempe Abis collitur:) SiC A = B == BA, AX - B -
  11. BA, n A +B = _ BA, i Ax B = +BA (vel +AB
  12. quod cancundem est.) Ersic in reliquis.
  13. In Dirisione, quaericur quocies dirilor, sen quanticas divi
  14. dens, in quancitare Diridenda concinetur; vel Cquod rantun-
  15. dem eAt) in quam quancicacem ducendus et diritor ut Aat 2-
  16. qualis quantitati Diridende; uc patet ex iisqua de Divitione
  17. eradica lunt Cap. ZI. Ec propcerea, abi quancicatis Diridendae
  18. Porum est F (astirmacirum,) signum onocientis idem eric acge
  19. diriloris; (in quancicaris Diridendae signum sE (negatirum,)
  20. tienum Ouocienris eric signo diriloris concrarium: cum enim
  21. diriloris in quorienrem ducti productum Fucurum est aequale
  22. quancitari dividendae; non pocect illud affirmacum esse, nill
  23. Factores signa habeant similia; nec negacirum, nis dissimilia: uE
  24. ex modo probatis constar. Adeoq; h diridatur i per F, vel
  25. per quoriens eriet: (In + Dex L, auC Per +, quoti-
  26. enserit n. Ouod erat ostendendum. Adcog; 2) V ( 2 3
  27. 2, V(= 2 32) (i 23 2) VC+.
  28. Item
  29. A) VCX, A) V(~X A) iV Cm X3 i A) V (+ X
  30. SiC A) VA (V. =B) BOD(= CD. C) BCD C_BD.
  31. NA) NVC X. A) A9(A. un A) in ACB CAGB.
  32. A4) VAC in X. 4) abc (bc. ab) a = bc (ac. 2 2) 2 (= 28
  33. 328) 16∞ C22. Fc paricer in aliis.
  34. ACg hactenus de quancicacum simplicium Nulciplicacione
  35. e Diritione dictum ett; sequitur ur de Conjunctis agam; cas
  36. incellieo quae ex variis membris constane per sen a = 8t col.
  37. Bata.
  38. Duando quantirates inricem mulriplicandae ex rariis mem-
  39. bri
  40. Mulciplicario
  41. quantitarum
  42. conjunctarum

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. 168. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0214?run=74