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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 175r

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: 0.80.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 174v); this page is its right half.

The machine reads it as

  1. Comparando itaque terminostrujus aequationls, eric primo 3b =2,
  2. unde b=-3: secundo 20--0, unde c 0; tertio ef 2b --2, unde
  3. c=33 quareo denigue =0, ue prius: Ex quibus manifectum eke
  4. cerminum a coefticiente c affectum aequationis quaelitae compoti
  5. cionem non ingredi, sed solos terminos a coefficientibus b, et e
  6. affectos, quarum ralores in equatione altumpra substicuci dabune
  7. 29
  8. quaelicam lcil.
  9. 2a
  10. =XVyta=x, guX detnIC Curram FOFL in
  11. qua incercepta PAL est aequalis ordinatae MC in Pigura quadran-
  12. qa
  13. da AMC, ideoque per Lemma L. eric ejus Arca = XVy fa=
  14. =aX; quXe, non competie portioni AMC, sed eandem excedie
  15. coco spacio za, quod luo loco Fulius explicabieur.
  16. Exemp. 2: FCO natuTA CVIErX ACS calis 2 p fay, ec inve.
  17. nienda sic ejus Arex Dimensio: Ordinaca ad simplioissimam For-
  18. nam reducta est 2=Vgf. 2. EE juxta praescribeum Regula primi
  19. Problematis by. f.caj F.da Xay. fo.ux est aeguario eminoncer conci-
  20. neris illam, quae detinic Curram quaesicam FOTI, (in qua PM
  21. 9ryaMC) ex qua aequatione inveniatur ralor linox PMm
  22. jam explicuis hic ralor adequecur valori ejus datos liberetur haee
  23. aequatio a fractis ex lurdis, ex dein termini rice inter le comparen
  24. tur; exhris comparacionibus inveniesb , 6 15, d e, hicoefacien
  25. eium ralores in propriis locis substicuri dabune 3y = Zay-= 2a Xy F a
  26. =xx, quae detinie Curram quaelitam FGII,, cujus intercepta Pet
  27. est ryta; et proinde per Lemma 1.
  28. Area quaelica=
  29. 6y f 2 ay 4aa
  30. 15
  31. XV9 +. a 2 dX
  32. Fxemp. 3. Determinanda, sic Ouadracura Figurae AMC cujus
  33. L.o
  34. proprietas est hujulmodi 2= - vgo -a: hic ralor linex PMt in y
  35. et IB CXZOCB AILB SAIEOEA
  36. mulciplicatus elt Vaby -a3; ubi maxima aismas culla u
  37. CISI
  38. axpoluis icaque porestatibus interioribus eum coeffi.
  39. et
  40. 2
  41. 21
  42. eellidsidae sllnt olot
  43. lucmod ibanro osli es ciencibus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 175r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0351?run=74