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. 293

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 016.
  2. C AP. 33.
  3. De Proeressione Ceomerrica.
  4. tremorum distantia D; adeoque e T = DF Y:
  5. 9 Daco termino primo, cum ratione communi, de numero
  6. cerminorum; A, R, T; habetur ulcimus. V. Cum enim, per
  7. DrOD: 16. X =Ad. ErICARd =A n 7 =V.
  8. Noca incerim, ob commodioremnocarionem, cum hictum
  9. Poltea, proT I, DoniD, vel d.
  10. 20 Daco cermino ulcimo, cum ratione communi, de numero
  11. cerminorum; V, R, T; habetur primus A. NIam CPFOPECE R C
  12. =X) eric Rd) V = X)V = A.
  13. 2r Concinue proportionalium; E duorum quorumvis re-
  14. Eansulum per terminum primum diridacur, prodibit cerminus
  15. cujus index (sire distantia a primo) aequacur illorum indicibuo
  16. Timul Cumeris. Sic enim,
  17. verbi gracia, termino.
  18. rem inricem nrulciplica-
  19. eorum unius index m.
  20. alcerius n: CrunE ergO
  21. cermini illi AR m 8e
  22. ARRR = AB
  23. XARR == AR =
  24. AARKRKK = A ZR
  25. ARLN; Per PrOP. 2. horum ergo rectangulum ARm X ARN -
  26. A ? Rm rn, quod, per A divitum, extibet ARm an, hoc eR
  27. Cper prop. 2. cerminum illum cujus index cst m L n, indicum
  28. illorum aggregato aequalis.
  29. 22 Lodem modo; Si terminitres, quacuor, quinque, aub
  30. plures, concinue mulciplicentur, productum eoc vicibus una
  31. minus dirilum per rerminum primum (Ere ea primi pocectate
  32. divisum quae uno sradu minor est quam numerus cerminorum
  33. Sic concinue malciplicacorum, ) exhribee cerminum cujus index
  34. illorum indicum aspresaco aequacur. Puca, E concinue malei
  35. plicatorum indices (InE L, m, n, CErINI CTUNE ARL, ARM, ARP
  36. qui inricem ducti Facient AAARI Fm +n; quodsi dividancur
  37. per AA, vel A, prodibic ARIF m +n, cerminus nempe cujus
  38. index l. + I + R. Per PEOP:Z.
  39. 23 Si icaque continue proportionalium primus cerminus sn
  40. 2 (quod in cabulis LoBarichmicis poniturs) duobus, pluri-
  41. Bulre, concinue mulciplicacis, provenier terminus cujus index
  42. allorum indicum a8gresato requatur. SeqUItuIT ex PFOP. 21, ee
  43. 22, Ouia nempe quae illic imperacur dirisio per cerminum
  44. primum (Eire semet sive (xepius Facienda) hoc calu (cum pris
  45. omua

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. 293. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0339?run=74