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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. 241

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 Progressione arichmetica.
  2. A, M, 4 - V = 2B = A
  3. A, V, C
  4. 3D N = A L V.
  5. C M, V, d C A = 2M = V.
  6. 34 Acq; idem ralet de cribus quatuorre cerminis progressi
  7. onis Arictimeticae, ucur non immediace proximis, modo requa-
  8. libus verobiqi incerrallis distantibus. Puca, I a, b9C, d, e, f, 8,
  9. eric a F e = 2c. ITamm _ a, C, e, si per Prop. 24. Iiem a f-
  10. c + d. 8 d + e = b + 8. EC AIC alibi. Nam a96; d, fovel a, d; c, f.
  11. _ b, es d, B, Vel b, di ei 8. _C. PerDr. 12.
  12. 35 Sed _ praecedentium aliquor converlae paricer demon-
  13. Sraneur. Pura converta pr. 28. In continua progressione Arich.
  14. metica, (excepta tancum progrectione aequalium, abi excecus
  15. est abig; nuHIUS, PACa, 2, L, 2, 2, _C~ 3 quae _ deincepo ali
  16. quocies excepta incellisatur.) Ei duorum incermediorum cer
  17. minorum agereeratum aggregato extremorum aequetur, lunt
  18. illi ab excremis a qualicer ucrinq; remoris (hoc cA, quot pra-
  19. dibus intermediorum alcer ab alcero extremorum, cor reliquus
  20. a reliquo distac.) Puca in progrestione a, b, C, d, C, 5,8, c + e
  21. = a te, cocidem gradibus distane an cu acque e, e; ICCW a3 e, aC-
  22. quec, p. Cum enim quanto duorum e, e, alcer major eAt quam
  23. a canco alcer minor sE guame, (lecus enim aspregata non
  24. essene x qualia,) distancia urrobique aequolis erit per prop. 13.
  25. 36 Ec converla Prop. 29. Si termini alicujus incermedii du-
  26. plum aequetur aggresaco extremorm: Requalicer ille ab ucro-
  27. que excremo distac. Probatur ne prxcedens.
  28. 37 lcem converla prop. 33. St unius cermini duplum aeque
  29. cur duorum aggresato, eric ille medius Rrichmericus inter h98.
  30. Nam, nis aequalibus differentiis horum cum alcex maior siccum
  31. alcer minor, quam cM expolicus, non conttaret aequalicas.
  32. 38 Similicer _e conver(a prop. 30. Si binibinis simul CIne
  33. requales, crune illi quacuor cermini Arichmetice (ut loguun-
  34. TUT) proporcionales. Puta si A + V = M + N, quanco horum
  35. alcer puca M, Superae alcerum illorum puca A, canco horum
  36. reliquus ab illorum reliquo deticir; (nam nill excesus e dete-
  37. Etus se mucuo perimant non constabic aspresatorum aequali
  38. 1a5:) Ideoque M i A = V in Hd = En ErBO R, M i A+ F:
  39. P. 2

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. 241. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0287?run=74