Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 112v

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: 0.78.

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One image of two folio pages side by side, registered by the library under both labels (also fol. 111r); this page is its left half.

The machine reads it as

1. sit (0) dub ras ac. Quaritur ejus rodix. Sonatur esse: aP + Y sae + q. vel
2. vel asae + rde sae +4e. unde cubando: ta ae tae 1hep ae qea ap sac qe a que ea
3. Equante omnia:
4. +aep a 13apqae ac
5. +raxis
6. naprer
7. + upr
8. ponendo ap +re e na fer: n + 3gen ebr0.
9. et et n + 4’e - ea 0 eritque er ng et e, nq
10. Cuumque valorem ipsius e inserendo aequationi praecedenti fiet: +39ng - nt g+
11. et fiet nri a 2a, 44 + Dj a B
12. abq aba a9 196
13. Repetendus est calculus
14. a-2a9 4
15. nn ab rabest
16. gelibus 8
17. 1) an sac + age. a a hge sac +randeage an ae die + aqe ab + a tae
18. et divellendo atque ordinando:
19. n + 2gC n - Yo. itemque 3n ag + q et ab
20. ex posteriore eio er) yriaq ct X 9a
21. et fier n
22. ab -43
23. . quos valores inserendo aequationi priori feb:
24. a+ b - 24b93 +q6
25. à b (2ab4 49
26. +9b4
27. ponendo scilicet cea vel c sae esse cognitam,
28. TX + 9aq n -9aq n
29. 1 a b 17469-390
30. 9aq
31. ab-43
32. a +b- 2ab9 19
33. arbitraria. ideo, ut En fieri possit, sic
34. procedendum:
35. ab + detac et an sae ilge enaesaer inde qronasaeriqe raie
36. et divellendo ace n’a + naq
37. tir. n ab ent ae 34a aeqte
38. An ita ansue tagee anaetae e na e thnavaeaique a
39. Ta n ailae B
40. ) s sit aequalio y + ah Y a lro erit y B + E l + S: 12 =, 3 a 50 : 1 - +: p, h
41. ergo y B i l (d - Y) f 2 ( - 35, : l + S + 3 s0 1 - 34, + l - s
42. et fiet: v - =l p 3 s0 : 12- 0 s: 153 r s0 : l- 5 Eautem (2. DB (= 1 - : 12 )
43. Ergo fla V- 3 +e
44. Tronsponanus: y - 1B : t + D s) Et - D cubando 3 - 2y : (+ D + 3y Se (: P. : 1) 1. . + LD
45. - = l=D a t 1 (D) siuis - 2γ Ergo 29t s0: 120 r2yS): 3 + 1D h
46. si sit g A ∞ +n. ponendo g. et n. esse radices cubicas, faciendo: GG. et Np 12. et Xp y 2. et vocundo N-GB H h. iet.
47. G⊓H +G2
48. fiet Y2 + 3HY - H Y + H. conferatuo cum aequatione enbica V + dV d9B + 431 B. cujus rudices divispe per d. et quae angendo
49. jeas pro v. piucudo _ Y + e. fiet. 1ed +3C Y2 + 3C Y + e3 250.
50. erit He PC et HB C+ dC + 3C 4, 1
51. quem ipsius H vatorem comparando cumi e + de = 39C + 3l. tet : c + d ge + d. vel
52. yae + ad s 279e +27d1. erisque e
53. it enim sunt termini penultimi; scilicet fiet:
54. 3 Fir G2
55. C ea
56. 1d + 17 , 324
57. 42.
58. 144 4 543
59. 13352 ad
60. 5+872
61. FH 271 = a sive er d. Restat ullima aequatio, conferendi
62. ga = 279
63. + + H G + 17 8 )
64. ubi patet d esse imutilem. Nemus
65. eo redire ut constet an Radix extrahi
66. possit, et vereor ne res redeat ad deter-
67. minationem scipionis Ferrei speciem tamen habet diversi
68. Plane evensus: vel. Ros in numeris tentanda sit aequatio Albessi
69. t inZ + 1o ponc ZH v + 3 a friX a2da
70. seu y . y
71. Ponendo ergo compendii cansa in praeserati
72. adet; +ned rnd
73. exemplo O20. et 91 - 13. quo plus quam opus est
74. FA) contra not grcedimus, fer. B00 + 180 =13- 10
75. 27, 272100 4 17 27 210+ 1702
76. y12c ero d 4 uC 9724 e
77. d + 38 1 65
78. es ponendo = H+. fiei D p 1317
79. Sed repetendus est calculus, cum videatur habere nescio quid
80. Si get 1126 foret 102
81. ves as e
82. d 351
83. Singulare; illud certe, quod ea ratione videtur venitur ad radicem aequationis cubicae
84. 20 + = - 3
85. secundo termino non sublato-
86. Nemmur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 112v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0224?run=74