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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 47v

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. 46r); this page is its left half.

The machine reads it as

  1. B= v0 10 octi . ed. l
  2. C F 31 16 1321+
  3. poAB - auB r P0o a 102+ ac. 109+ e0oi
  4. - 00. 31C
  5. ()=AAC = 1. 310
  6. sed hic iluae incommoddea F
  7. occurit: DC m
  8. rc supersunt literae ad follendu F
  9. 00. 31 108
  10. e 3 oq
  11. 00. 13∞ =1
  12. yo. 3219
  13. te 8
  14. V1. 32 e sutnuris aufsir tes, t Catsuosima p. A. 32 Sit
  15. IV22. 3( +gia 1b
  16. uor
  17. (103 +5( 13. 32
  18. quoo quduli asuoa pediade pondiscet q
  19. nisi ipsae L m n datae adhibenaturr:
  20. 1 p) )
  21. su irratohalitu
  22. sed supederit in rasionalibu. Ut autem ABC, t non otineat 1000 sin rationalisc
  23. is tiat pro 6 D Y. poritur G
  24. in AC = 0 seu 1. 31BL. + 12, 3291 + 13.3 =0, seu nB1O + 12. 327 + 13. 338 = 0
  25. es non continebit
  26. quia ex assumto 31 = 2. 11 +00 C fi t o+ 1- 31 = -
  27. tis positis eun HC, contincat 0gd.tesimiles, ideo B
  28. CD et similus et YBDOL
  29. XEA = t +, 0 + ut D AB - h B + 00. 11 1ON
  30. 80. HO 00. 12
  31. et =2.43 et -00 + 1+ 31 =
  32. fit 32: 31 = - 1: 3 et seu 32= - 2 11 -00,:3
  33. et 12 = 11 + 2.00,:3
  34. An tia d - fi1 NOB + 12 C AB 10. 188 + 0. sO (Ex mationad (1i2) = 1GHL A = ve C311
  35. + M. 3
  36. B = 4 +00 VC +001D
  37. F 6= 311+3250
  38. pt. B 500 +OG + o0 9C intC. 3. . 3
  39. CF 131 +CG + 32 13G +nC- 400u e
  40. lt ne uo ux re ns
  41. 12 = H. 32 00.11 - 90. 31 400. 32- Il. 3 73
  42. tit (23st. 00. 1 3, 400. sit 3
  43. 00. 3= 00. 31 5 ( 11. 3131
  44. M fit 31 = 33CF 1. 3 - 00 31
  45. 12 = 1.31-, (.3(-00. lB - av. 00. 114 a0. 1. 31
  46. 00t qu (00 -31)
  47. 00. fl. 31 (- I13L. 32) ~ 00. H. 3l 00 H. 32 (- 11. 31. 3d = 0e ev 31 7 ee 00, 32 4 00. 11. 32
  48. hlb
  49. fit (32=
  50. Dip. 00. 1531B0 q u - ∞3. H -00. 1 3(. ,. 13 1100. 11. 31
  51. 80. H. 31 +00. 01. 31 = 00. 31. 31. Ergo 12 =
  52. sseu 12 -0b. 11, I1 400 +31
  53. 00. 31 4 0d. I1-00.00
  54. =. 3E 12 = 1I - an potuus 31 411 = 0V
  55. Y700. l1 = 2. 00. 32
  56. 32 = (11 + 12 =31 = 00. 11400. 12 =18. 31 5 i 1Y
  57. 11. 12 472 12- 3412 = g0. 1L +00. 12 - (. 31
  58. erto 11a 1412= 31, H23t
  59. 11. (I1 + 1L. 124 1. 31 = 00. 11 400112 - 12. 31
  60. 31+I, 12+11 = 31+131+32
  61. D Ea n F 31. 12(+3 1.s) 1. 12 + 1. HI = 31. 3 + 31 32(F 11. 31X 11. 32
  62. 60: 114 00. 12 = (11. 9d - 1. 11
  63. 00. 11400. 1 = 11 32 F ( 12. 0d - 12. 11
  64. fit 1(2 = 00 t See (a0 + 31 - 11) 11, =, 11 = 00 + 31
  65. b0 -+ 12 = 4.4 et 12 = 32 -00 = - 11.1
  66. Ergo 12 = = II. et qua AF - 0 fit 32= 31 sed ita A et C habersat cavrcem ratione constante
  67. Ergo faciam, 0c fit 32 = 1 H(00. ) + 3111 F u. 11 4 11. 11 = U. 00 (E l1. 31 = 31. 1100. 3] = 31. 3)
  68. 32 = 00 - 31 + 11, 31 ut 12 = 00+31-, 2n 11 = 00, =+ 311
  69. =90 + 11- 31 11+ 31-00
  70. -00 +11+ 31
  71. 12 = +00 - H + 31
  72. -00 +H + 31
  73. mon
  74. sit l - n = V
  75. et R- M = A et l - n = n
  76. (90. 31 - 11. 39O + (00. 32-12 32)
  77. (00. 4 - 1. 3) D H00. 2 - 12. 39)D
  78. 00. 00 Y
  79. 00 - 11) 31YC + (00-11) 32fVD = 60-3)1 AO + (00-32) 122D on
  80. sx rstionalibus
  81. debent desrin O et D, fietque (00 -11) 3IV = (∞ - 31) 11 A ~ et (00 - 11) 32V -(00- 32)121
  82. in posteriore pro 12 et 32 substituantur vatores inventi
  83. ita prodibunt tandem aequ. binae, in quibus solae supererunt
  84. I1 et 31, quae si solvi possunt habetur quaesitum
  85. fin 3C laor
  86. 32 = 00. 12X :, 0OV - IIV + I2X = 00 + 11- 31, 31G :, - 00 +11 4 5, fi 80, 12 A (200 +IIEZ 1) = (00r- AV H LD) (ooru-
  87. D 1A u e C- v ev 4 00. 11 (+ o8. 31 00 31, n. 31 l31.31) (00-)r (00 ru. 39. H
  88. 12 (-00 + 11+ 31) = 11 (+00 - 11 + 31) et fint re X 11 (00 = 11 +31) = (00Y - 11V) (00 + H1- 3931 + 12X (30 + u. 3s)
  89. tit 12 = voX voID A (00- 1 +31) + (11 = 00)Y (0DFU -31) H,: (00 +U-31)BLN. (3 (vv- ut 31): uov FuIL 3)
  90. fit n. 31A (00. 00 = qu (11 - 31) =, 00. 11X (31.31 = qu (00 - 1) )+ (N - 00) (11. 41 - qu (00 - 31))
  91. esset 00 -31 =f 0 sen 31 =00 firit 00(1A (200n 11) +1 - 00) 1 (11) 31, . (11. 71X = (D (2. 00 - 11) : (11)
  92. Jeu 00X (2.00 -11) + 10 (3V (11 - 00) = 8 (200 - 11) sid hoc non licet
  93. si esset A Nec lient facere 11 = 0D, nam eonnescenst V in Calculo. Nec licet facere H = 3I, nam fircet 32: 31 = 12: 11
  94. (sit 11+ 31 = d seu 31 2 = 11. firet 00 (iA (00 -2. 11) 4 (11 = 00) V (00 4 212)( : (90 + 2. 11.)(1) = - 11 (00 - 2.11):00
  95. Si esset 00. - 11 + 31 = 0 fieret 12 = 0, et sed hoc qua
  96. Si esset H- 00== 11
  97. si sit 30+11 = 0 parum lucramur, ut et faciendo 00 +31 =0
  98. EZsR.d ita ascenditur ad _ quod nolim.
  99. non licet quia fieret 1-00
  100. 1 = 00. et ubique depressio fiet per Mr, lasleed ete 11 et 31
  101. contrahetur calculus tamen haberetui repro si fint H
  102. habetur depressio et fiet 211 =
  103. ascendetque calulus non nisi ad gradum secundum dutque 31 = 21+ 00 et fint -00 A (2. 00 +11) + (11-
  104. andes casus impossibiles a
  105. firra ut et tint
  106. Ct 00 + 11 = 311
  107. ot Zandem habebimus: -6.00. 00 X - 3v0. 1X + C. 11. 1V FocinY A. 00.4Y =c. voV = 2. II. IIX + +. 00. 11 +00.11X 200.00X
  108. sea (2A = 51) 11. 1 + (Z, 00 X = 3. 00Y) 1 f +: 8. 00. 00X + 3, 000oY 0. et fiet a 2~) Hc-∞) L ( 1to
  109. Sed non video quomodo potuisset deprissioe obtineri usque ad gradum infimum Li posset amen ad huc tenturi fingendo
  110. sdae in intoris t a piict iberum Encdi in casus impossibiles. Plud tanen adiue habemns
  111. possunt esse affirmativae vulnegativae pro arbitrio
  112. medium contra imposibilitates l valore ipsus i1, quod s ad huc linasuptias iquptio, et id co 3 assumere
  113. VO +is
  114. quod in ABC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 47v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0094?run=74