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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 43r

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: 0.77.

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. 44v); this page is its right half.

The machine reads it as

  1. Exccrpta eliteris fuis ann. 9b.)
  2. folgandar Calculus lorcif in din Methodos Diophanteas sinainus satta
  3. abere ondit großten uum in unferere Geometria altiore. Ersabit ab fei
  4. 00 + ab DDC1)
  5. e
  6. L X
  7. a Xx, et e m n
  8. a X
  9. in (
  10. dex
  11. ex
  12. act ex + ZXC;
  13. DC3
  14. g+
  15. CX
  16. Dolha valores num ouit danaeg9. 2,3, 4,
  17. substituiret in der aequ. 1, 5o hoint aequ. 5) Wonlcha du identica su r
  18. I 93
  19. gen, odeo norvelihar dia termini lateris unius seu valoris a C∞ + ab DD
  20. mil den terminis respondentibus dec ouidern lateris seuvaloris, ipsius
  21. e su compariras, e mit subia dinser comparatione, dia valones litera-
  22. cum quaesitaram c, e, f, 9, h, K, m, n, susuche ptrenibiis supponire, doist
  23. a V. b allen datae; dor dan mihto noch hufrargen, obdia valores
  24. Erans
  25. rationalet odaa irrationales feun, worumto fonst in methodo cho-
  26. phantea uis bectumeet.in
  27. Sinant voet oiuf nene)
  28. (In emum auderen brieffe Woae folgandes. überphiteten calcalum.
  29. Wor ourge calculam balomet, so kromt es danont oin, daß ope
  30. aequationum comparatitiarum, ob X X, X, X ouis 5. litera onfundam
  31. 3
  32. 2
  33. neerdem von danam assumtitis e, e, f, g, h, K, m n; darous hu fehan,
  34. dast devnn 3. ubreius, so indeterminat beniber, _. selest pro artitrio
  35. comode zu determinire. Nun m et n find branite depechiret, die-
  36. Weil i habe valorem m:n, V. valorem mn, positis reliquis; od
  37. meire coumo bius valoribus iptorum m et nt losdan; haben suvruu
  38. vin asl Diud alio dormit duae aequationes comparatitiae depechirat,
  39. V. Elniben noch 3. Zu solvirn; vus so wielei honc mour 3. der bnosem-
  40. sn wchlarii ich folte fast wnhle:
  41. C1)
  42. 3Yp=25d, odrae 3, aef +bhk
  43. (2)
  44. 2, aff bkk, 2aef. + ale + 2bgR + bhh.
  45. 35f = 205, odeae 3; aec + bhg = 2, acc tbgg, 2acftael +2bgR + bhh.
  46. VE = 4(8, oder aef +bhl, aec +bhus = 4, aH +blK, accu t bgg;
  47. a
  48. c
  49. 31
  50. anum aequ. 3. it jartitiaria per se; und aeg. 1. et 2 sunt juttitiariae, si simut
  51. AI
  52. sumantur. it sulffe dar 3. aequatione konten glanbis Zuforderst
  53. e und h gesuchet Wereden; dan darmmen observiret mone oibermali
  54. gattitiam, dan dia fei den villein haben ema praeferentus Hos dan ou
  55. dara incognitio; alo welche amt den nuttal; jor findet sis auch, daßt
  56. sin om wnnigsten stergen, nnmblus min an dan quadratum, dor
  57. fonst fik; item C, 4, ad eubum nomen. Wam man nun der litera-
  58. um e und h valores sort, _. Solcha out den latitar aequation wnu-
  59. gabtticht, olnibt nina aquatio ultima, so simuliis soch segn und,
  60. s
  61. darinu ind ltera
  62. fik, item g, Walcha die sattit obtervire, unosa
  63. H. Sioone oux einm doppalta wenise; unmrblius win is c weusalt
  64. re

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 43r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0083?run=74