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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 174v

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: 0.79.

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. 175r); this page is its left half.

The machine reads it as

  1. Texemplum T. Invenienda sc Ouadratura FiGUrX AMIC cujus
  2. Nacura exprimitur hac aequatione 2 = p l aayy valor ordinarx 2
  3. ad simplicissimam Formam reductae erie Z y V gy- L ac: VE habea-
  4. cur hujos Figurae Ouadratura, invenienda eM alia Curra FOTI in
  5. QuA INFETOEDCA PMI SIc, Vy F a uc paret ex Corolario Lemmatis L;
  6. ideo juxta Rogulam in Solucione Problematis r. praescripeam, mul.
  7. eiplicandus est ralor datus linex PM Cseu MC) per y, unde DrO.
  8. ductum eric vay F a: Jam quia maxima disnicas extra rinculum
  9. esty ideo apponendi lune omnes termim interiores (cil. y’5 y3 y
  10. C= 1) iplo semper maximo termino inclulo, (qui coetticientibus
  11. incoeniris affecti aequari debent Juadraco quantitaris a, unde aequa-
  12. eio quaesicam eminenter continens erie By) cay ) ea XVy aXX.
  13. Ex hac aequatione inrestigetur ralor Analvcieus Linex PM per L eib.
  14. nicii Mechodum hoc modo; compendii gracia Bonacur by cay
  15. ea=p, acque Vy a =9. unde pu= ux cujus aequatio differentialis
  16. est paque. + gdp. 2nda, (ed dg =
  17. vdu
  18. d dp- 267 dy + cady, sC.
  19. Vyy aa
  20. Rituantur icaque valores quantieatum p. 4. nec non ap, dq in aequa
  21. ciono differencialis erieque illa hujusmodi,
  22. by + cay Y ea g rd)
  23. EbiVyta xdstcavy +a xdy radX.
  24. ag ta
  25. Ex omnibus cermminis sub eodem conimuni denominacote sequetis,
  26. erie
  27. 26p +. 20ar fea 9 2b a yXdY
  28. las vitaa
  29. 2udx
  30. haec aequacio differentialis in Analogiam reloluta dabit,
  31. dy. dx :: 2X
  32. 3by +2cay. f ea 9. + 26a7 + ca c: _ PV. PC proisiete
  33. invenietuE PNI
  34. Nya
  35. 1b7. + 2cay + ea gut 2ba 7 + ca
  36. 2Vyfa
  37. Lyya
  38. H EF.1
  39. Haec aequacio a Fractis ec lurdis liberata; mulciplicando totam per
  40. denominatorem priotis parris dabit.
  41. 3by +20ay + ea 9 t ca
  42. +2647
  43. 27 ̸ 2a y
  44. Coalaco

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 174v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0350?run=74