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Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 10r

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: 0.81.

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. 11v); this page is its right half.

The machine reads it as

  1. Xoy
  2. X69
  3. X6y
  4. X2y
  5. X73
  6. x 9
  7. 237
  8. 3
  9. N’y
  10. BA. AC divido in partes oqualos. et
  11. Xy indo normulos origo distribuontos angula
  12. n spatium in aequaliu paraledlogram
  13. ima vol quadrata, quae concipio donomi–
  14. nata esse a dimensionibus duarum in–
  15. ddsinitarum spociorum. puta x et y.
  16. regularitur ascondontium antormino A
  17. prout viddo in fig.i. inscriptas: ubi
  18. y donotat rudicom detrahondam et a
  19. altoram indofinitam quantitatom de-
  20. cujus potestatibus sorios constituonda det
  21. donido cum aequatio aliqua proponitur
  22. parallologramma singuli eius tor:
  23. minis corrospondentia in signio nota
  24. aliqua: et Mogula ad duo vel forto plura de insignitis parallo
  25. logrammis applicata quorum unum sit humillimum in colum
  26. ina sinistra juela AB. et alia ad Regulam ddxtrorsum sita,
  27. caetoraque omnia non contingentia Regulam supra dam jacdant:
  28. soligo torminos aequationis per parallologramma contingentia
  29. Regulam designutos et ind quaero quantilatem ruotionti addendum
  30. S.t ad detrahondam radicom y de yb - 5Xy5 + 22, - 7 a X y
  31. 6a 373 + 66+4 =0: parallo logramma hujus horminis rdspondontia
  32. signo nota aliquax ut vides in feg. 2 Don applico Rogulam
  33. D. E ad inforiorom dlocis signalis in sinistra columnu. damquo
  34. ab inforioribus ad suporiora dextrorsum gyrare facio donoc-
  35. aliam similitor vol forto plura E rdliquis signutis locis caepo
  36. irit attingero. Vidooque loca su attacta d5sd +3 Xxyy et y b E
  37. torminis itaque yb= 7 acXX yy + ba 3X3 tanquam nihilo aequali:
  38. ibus (et insupor si placot roductis ad 2b -7 vV + b = 0 ponon
  39. do y = oVax) quaero valorem y et invonie quadruplicom. +Vax
  40. = vaa, + YZaX. et = V2~. quorum quomlibot pre primo termino
  41. Quotiontis acciporo licet prout e radicibus quampiam detra
  42. hore docrotum est. sic aequation yd + axy + auy - X - 2a = 0,
  43. quam rosolodbam in priori opistola dat = 203 + aay + y3 =0 et
  44. nido y= a proxime. Cum itaque a sit primus torminus valoris y
  45. pono p. pro caetoris omnibus in in finitum. et substituo eo tp pro-
  46. obvoniont hic aliquando difficultatos nonnullae: sod de iss crodo
  47. D. Ldibnitius sd proprio Marto detricabit. Subsoquontis voro tor
  48. mini q. V. 5. dodom modo de aequationibus socundis tortiis.
  49. caetorisque druuntur quo primus p. E prima: sod cura Leviori quio
  50. catori Tormini valoris, solont prodiro divodondo Torminum in
  51. volvontom in fimam potestatom indofinitae quantitalis x. por
  52. codfficiontem radicis. p. g. r aut 8.
  53. Ontolloati crodo de suporioribus regrossionom ab ardis curva
  54. sum ad Erodo roctao seori sude hamc de tracetionem raetsis
  55. affictae
  56. 106
  57. royc
  58. X3
  59. XHy
  60. py
  61. 13
  62. X
  63. aettis
  64. XSX
  65. X2
  66. Xyy XHG3
  67. X3
  68. X7)
  69. ay
  70. 23
  71. X3y

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 10r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068204:0019?run=74