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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. 295

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: 0.82.

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The machine reads it as

  1. est
  2. (
  3. etib
  4. ied.
  5. s
  6. C. BP. 33.
  7. De Proeressione Ceometrica.
  8. 28 In quancieatum continue proportionalium quorcunque
  9. prosrestione; Ouod tic ex duccu cermini primi in ulcimum, 2-
  10. quacur Facto ex muruo ductu duorum quorumvis terminorum
  11. ab extremis aequalicer uorinq; remocorum. Vel, Rectangulum
  12. termediis ab excremis verinqi xequalicer dictancibus. CIncelliee
  13. quorum unustoc praecile gradibus ab uno excremo, quoc resi.
  14. quus a reliquo, dictat.) Cum enim sic cerminorum alcer ARd
  15. perpr. 2. alcer Rd) V, per pr. 5. Sieque distancia D urrobique
  16. eadem; eric rectansulum Rd) V X ARd = VA = H - a0-
  17. BB = c7 = d st _C. Acque hac Cunc illa rectangula quorum
  18. omnium asxregatum Symbolo Z designacum volumus; Pu
  19. quae simpliciter Rechaneutorum aecrepatum deinceps appellabin
  20. InUS.
  21. 20 Sin terminus omnium medius ab VETOQ; CXETCIO XqUA-
  22. licer distet, (quod cum continget quum cerminorum numerus
  23. estimpar;) Ouadiatum medii aeguatur extremorum rectan-
  24. EulO. Nam PEOPECE Rd) V =N ==ARd, (_ distanriam D
  25. utrobiq; aqualem,) erit Rd; V X ARd = M XN - H9
  26. 20 Similicer, In quacuor cerminis ucur disconcinue propor.
  27. rionalibus, Rectangulum excremorum aequatur rectangulo me.
  28. diorum. PACA A. M: : N. V. Cum enim Cpropcer aequalem
  29. utrobigue rationem) lIC AR =M, _NR = V, adeoque R)
  30. V = N; CFIENXM = K) VXAR = VA. AIque hinc segNICUE
  31. Rexula quae dicitur aurea, sire Recula Trium. Nempe
  32. 3r Ouacuor erso provorcionali.
  33. am, dacis cribus quibuslibec, datur d Datis. DaTUIE.
  34. religuus. Cum enim HC, Der PERCCd. A) M XN CV
  35. A = V = MXNY, criC (XQUaLIEEF vETIM- V, MXN, (A
  36. MN MN N A XV CN
  37. que dividendo) V = a a
  38. 1
  39. N
  40. a
  41. N) A = VC
  42. N = M aEAq; haec Rexula intinici peneutlis Per
  43. eoram Machelin, ideoque merico Aurea dicta
  44. 22 Excribus autem concinue proportionalibus, Rectangu-
  45. dum extremorum a quatur quadraco medii. PaTA A. NI. V
  46. Nam, propcer aequalem urrobigie rationem, est A R M,. de
  47. 1L

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. 295. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0341?run=74