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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 272r

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. 271v); this page is its right half.

The machine reads it as

  1. AL ergo aequationes hac resolvi possint
  2. frat 35 l +3tma + 2+ mu + +2l po
  3. 35l 23h M + qtmf + h l, 90
  4. 3F9de 31f +3h Fde a3mh +3h9de +2htfde = m f, 4 2hm l
  5. 2tg de 1319 +3nF de 3ne t 3Ffde 13ht gde aniq Am
  6. componendas has duas posteriores, ponatur Hy,3ht +3kg + 2nt f f0
  7. fiit.
  8. 3fy 13hF +3tf + 2ntg
  9. et ff 31f +nh nef + 2hml. 40. et habebtur adhuc una aequatio
  10. + 3l9 3 m t m g a + ml
  11. adeuque fiet: in qua de restabit
  12. adeoque sunt aequationes 5, pro incognits f. +. 9.l. h. m. de.
  13. quae sunt septem;
  14. Ponamus fg p vH, faet.
  15. Aie
  16. -3h t 3h _ - 349 - 3+25 = X 8 m = 2 BL + +
  17. f+5H
  18. quintam
  19. 2h F + 3f9
  20. h+ +
  21. p possumus servare suo loco, quia in ea sola superes
  22. de, nunc ut has quatuor absolvamus, quas numeris expressi
  23. potes simento jam hm Y C, H L et tmp G. tunc
  24. litera m restabit in sla
  25. licebit ipsam M, et reliquae tres aequationes, ponendo co. et G.
  26. pro datis, nihilamplius cum M dommine habentunt, omenda ergo
  27. rediere ad tres aequationes 1. 2. 3. et Res quae solae supersunt
  28. arbitrarias V, f. 9.
  29. Neta tamen ipsas
  30. ex prima l - F9 = 3+2 = 2 tMg ex sumda _ - 3k m - 2 hpf
  31. et multiplicando per crucem:
  32. 392+ t relinqui potest m.
  33. 352 + h
  34. -9+tm -6f tmg (= 3ti Fm) - 2h + m g 7
  35. 9sttem -6st haf, ( 3frhm - C2t2kmf
  36. Nota ipsae V. er Co. non quidem amplius arbitrariae sunt, ut sciliat per alias Explicari
  37. possint; sunt samon ea sed hoc sic in telligendum estposse quenvis
  38. eis dari satorem modo in cum non ingrediantur literae, quae in valorem
  39. ipsius m ingredimitur scilicet f. g. l.
  40. jam p hanc aequationem componendo cum tertia, sie pro
  41. haec aequatio novissima. 9t
  42. gma ghest +gna f + 6gfm Cgh -st f 2tam + gh -ft ps0.
  43. et dividendo per oh - ft. fiet : 9p 2gh + ft, + 69fm = 2+ hm B0
  44. f9 2th = gyh -gfl ec 44.3.
  45. quod si um ponutur hp. t. fier: ( SgB
  46. - 3h+ -3k9 - 2htf
  47. =3h +2 -Y - 2h+9
  48. 59 +f
  49. -3tf
  50. 10
  51. =3h - 3+ + 2 H, sire 1- 4h
  52. et =k) - 9 ch + 9hf p7 - ah et Be 4. hie 43b Ath + 9 H5 r bh
  53. 2
  54. sive 9f. +6a fp - 36h. Quae aequatio umpossititus adeoque ope im-
  55. possibilium exprimi poterunt radices omnes cubite, ergo res sic fieri non potest
  56. erno aliter com te non subtrohem uos iptiu ct valores multiplicemg
  57. videoFu hic esse mutile, et recta via indagandum ex primo ipsius fu valore scilacet erit.
  58. 2th - 9 f+
  59. es 7.9u.
  60. Gadeoque (th - oh et M - 9f+, - 3k l 1- 32 22th = 96+ -3het vs. pus
  61. es u1
  62. Fyto =hht (= (3hF 2th
  63. Ilnay sto et of. 29nt
  64. in

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 272r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0543?run=74