Leibniz Legible

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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. 296

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: 0.88.

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The machine reads it as

  1. 296
  2. De Proxressione Geometrica.
  3. C AP. 33
  4. MR -V; ergO R)V =M. IdeOque R) V XAR =MXN
  5. = M9.
  6. 33 Trium ergo continue propor.
  7. tionalium, dacis duobus quibulvis,
  8. dacur ec reliquus. Cum enim, Per
  9. praeced. AV i M g. FrIEA) M9 CV,
  10. _V D Ba (A, _Y AV YM9
  11. M.
  12. Dacis Baculo
  13. A) M9C
  14. V) Nq (1
  15. VAV =-M
  16. 34 Acque idem ralec de tribus quacuorre cerminis progret
  17. lionis concinux, ucur non immedince proximis, modo equali-
  18. bus incerrallis distancibus. Pata ( a. b, c. d. e. f. B. i eriu
  19. ae n C; nam _ a. C. e per 14. Item af cd; e d e = b β3
  20. _ Sic alibi. NTam a0c:: d. f. vel a. d: : c. f. _ B. d: :c. 8.
  21. vel b. C:: d. 8. EEC. DeF 12.
  22. 35 Scd e praecedentium aliquoe converlae pariter demon
  23. Arancur. Puca converla prop. 28. In concinue provortionalia
  24. bus, (excepea cancum aequalium progressione, uF. I. I. L. L.
  25. _c. qua Be deinceos aliquocies excepta intellisatur;) le
  26. duorum cerminorum incermediorum rectansulum rectansulo
  27. extremoram aequecur; lunc illi ab excremis aequalicer ucrinque
  28. remoti. (hoc ett, quot gradibus eorum alcerurer ab alteruero
  29. extremorum distat, eoc ee reliquus a reliquo.) Pura. si lino
  30. a. b, 6. d. c. f05. i Acquec e a5; cocidem gradibus distant
  31. anC, aCquC e, 8; item a. e, 219; c, 5. Cum enim duorum c, c, alcer
  32. sC a Rd, alcex Rd) 8; adeOque Rd ) EXa Rd
  33. (Ce ) aB; aequalis erit uerobique Rd (uc dirisio _ mulciplis
  34. cario le mutuo destruant) adeoque et distancin D verobique
  35. aequalIS. Per PP. 13.
  36. 36. Ec converla Prov. 29. Si concinue proporcionalium.
  37. incermedii alicujus quadratum aequetur rectansulo extremon
  38. rum; aequalicer ille ab ucroque excremo dittac. Probacur,
  39. uc praecedens.
  40. 37. Icem converla Prop. 33. Siunius cermini quadratum
  41. equecur duorum rectangulo, erie ille medius inter hos Geome-
  42. ericus. Si enim AV =M9 =-MM, Fric Caequalicer ucrinque di
  43. videndo) A - MM
  44. M
  45. V _ A
  46. M= V. ErBOAt. M. V i
  47. 38. Similicer _ Converla PrOp. 30. Si ex cerminis quacuors
  48. duorum rectangulum rectangulo reliquorum aquen
  49. TaTS

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. 296. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0342?run=74