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Leibniz-Handschriften zur Mathematik LH 35, 14, 2, fol. 74v

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: 0.87.

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. 73r); this page is its left half.

The machine reads it as

  1. mraeter methodam interpolivs qua radices extrarit (puras) habet alium Methodum
  2. Nentonus magis abstrosum extuhondi radices tam in aneris, quam in silerebus ex equ
  3. tombus simplicibus vel affectis differalem valde a methodobretas Oughare d e Hario tt arat
  4. Cinter recepta, est Sed sua potin atitur tanguam conmodore quia ceterius convcigat qcocedi
  5. id rincipro simesi i cum eo quo usque samem meo Commercio Estistotuto Ex 2
  6. arux
  7. ad solvendum problema fere similis naa sumtae inimbro radicis fati modotA
  8. quemens apparet resterm vanetatem recipit, id possimus vocare A. inde mvemuus ex
  9. quaestionis id esse vel justo jmajus vel justominus. ob differentiam assumatur B, et smiuiter quaeatur val
  10. et Fursus prr discuminie assumntur C, etc. sit aequad y - 29-5 = 0. sumitur y aeg. 2+ p
  11. et substituturis valor inde sumitur p aeg. 0. 1 + 4. et qaeque - 0005q +Y. et
  12. Y = - 0. 00004952 +s, en invenit autem numeras sequentes ut 1O.) et - 00059,
  13. et ita porro, Hoc modo: in ag. suttim heu SB= 0 pro substituendo:
  14. 2 + p fit = 1 + 10 p + 6pp + ph. itaque absolula temmina = 1 dividit per 10 oefficica
  15. similiter in specrebus., aequationem
  16. affert; y + axy + acu - X 50. ponitque primum a +p a = Y. hinc X+ 9
  17. lepus pennetimi et fit + seu + 0. 1
  18. unde fit + 43 + 3 aa B + happ F p3 = 0. ubi pursus ponit 4X + q = p. (+ cujus rad guihi
  19. non sulis
  20. applarec 2)
  21. +aax + ax B
  22. +ah + aa H p
  23. (+ scilicet procedendo ut in numeris negligit
  24. quoedam, modo semper accedat, dum simplices
  25. sempr oblineat +)
  26. addit deinde omnes pro radice, ut y in numeris aeg. A a1. = 0. 0054. = 000A852
  27. invenit.
  28. Za
  29. ilio
  30. civailer
  31. Exi aequatione data un osut eas allas quae respondent terminis
  32. ellus
  33. aequationis in pamilelogiammo poposito e et cypolentir
  34. exhibente stellis notat eas
  35. cellat
  36. yt - 7a
  37. 16-5X + R
  38. quae sunt in aequatione
  39. a + 6a X3 +b X
  40. Auta fdous Ja ag X 243.
  41. inde regulam
  42. applicat in a notatarum steltarmm cellarum in lalere AB
  43. infima; et inde ad plures regulam applicat sic ut ea
  44. tanguntur nempe C, et b
  45. una vel plures ita simul
  46. lansit regula; a. b. d. cellas s vliquae quas non langit regula
  47. sinthis quas langit superiores. Quin ergo hoc loco tanguntur
  48. 96, XXGy, X ea ex aequatione proposita sunta exeequantur nempe
  49. 96- 7a a XX79 +6a x ponatu fingatur aegue, 0,. seu - 7VV +6 = 0
  50. penendo y = D tax ita valore u quosito habentur qualurr
  51. valores tiax scax + Trax - Vhax. quorm qulibet pour it
  52. pro primo termmno. suc in 6g. y3 + axus + aaque - x3- 2a 0 sit 2a ang
  53. nunde = a proxime ideo fit B + p = y. similiterex scundis
  54. quationibi seciudi legmini invennitur, sed focierus ut dictum
  55. ande subjicit tonllisiu specialia quoedam Neutoni, deinde his verbis
  56. concludit. Somerotat of thesamellind hath beea done bus libnitius
  57. aud Chirnhansius, abrvad, aud Mr james Gregorus, aud Mr Nicolas pter
  58. cator, voite us. vic are most of them b partieutur cases poithia
  59. the compass of Mr Mentons general Pules Amonyst oich s thal ot
  60. ibnitius publistred in ehe acta einditorum at lipsici for Mte Monthot
  61. februarii 16 1692; lohere he shews (inter alia) MalMe square ot
  62. the diancetre is to Me Cinte as to 1 = L + - et e vich is
  63. a converginus series bul flocolus converginus aud vill at lenath come to a
  64. difference less then any assignable. And johile these fhinus are printinus comes
  65. oit his present year
  66. (684 ab Ediuburus) treatise et lisce nature ot
  67. Mx davita Gregorre nephen of james aud noro professor of Mathematutes
  68. Edraburus nictutnted exoccrtao nova de dimensione figurarum, ubi plura hujus
  69. Errare Taquelum putat Wallisius (c. 46.) dicentem Grenorum
  70. vincentio prm de infiniis propessionibus momandis cogitisse um ipsii
  71. generis
  72. liber prodient 164) Toriicellli. 1644 (4 sed serendum longat prius hubuis
  73. satia Grerjorum a si vinc. vid praf inaqate pistota p. seithes aq litalliscu
  74. a
  75. uibi sperat sectione, axis in partes prionis ee, posse aliquid amplus delegi
  76. cirsliarea, eq
  77. eliam pro sedmb subeantians ductibus ul vocat ppeus a s. vinc. stem
  78. n
  79. 9G
  80. Mertodus singularis qua Bronntreu, quoddam Broblema
  81. Fermatus solvit
  82. in Commeuro Eplrco Ep. 17 et hic fuscu exposita est ibi progresser quasi quaed
  83. non quidem in infinitum fintiata sed usque, ad detemminivem, fere ut sit in inventum
  84. communis mensarae. Semper adhibenbu linntes et magis magisque coarnctantur et tande
  85. integris
  86. cum agitur in integris comune decrescendo necessur
  87. imla
  88. e seuitur exraustro
  89. debesequitur exhaustro, vibilur a invenir non potest.
  90. tantum
  91. espeta
  92. Aterebratunter
  93. sequitur Appenda

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 2, fol. 74v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068202:0148?run=74