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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 344v

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: 0.74.

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. 345r); this page is its left half.

The machine reads it as

  1. Novum hic praeclarumque inca constructiones inventum; ut aequation ossatis utam
  2. mcam dat
  3. 2aX + a X 5, V y f b y +X F hx. F ad circulum
  4. rec k
  5. +a y
  6. ) + ca X + ac ducta ex problemat
  7. Quodso jam his utcunque csitis duo fiant ejgdem forma (unius mognitae, vel duarumi) in ter
  8. se cmparabilies habetitur inventa b. et h seu crculis quaesitus
  9. et et Y fier 1aX + a x2G7 - by - x - h X. ex 3 fit
  10. s apta hud ye( qb
  11. 1ix
  12. le
  13. Compaetada s 2 Ly 3
  14. 1) peco
  15. quant
  16. ys + Cax +al X . H
  17. (7 +a Ab
  18. (+a) ( ayst YA1
  19. ab
  20. IseY ic
  21. Xy, 2 glX 97
  22. Pat y+ge C3Xy ax reay- cac F yt
  23. N+sx
  24. deca rec
  25. +BY + ZZ A X bac st a aubiiguoniam dres comparandi sunt. termini, ones
  26. duae vero literae habentur comparatitiae, idco
  27. Huabus artibus deffectus arbitrariorum suppliri
  28. potest vel myltiplicando datat aequationis radices
  29. vel augendo et minuendo aubitraria quad titiles credo spliciorem fore multijuliationem hoct lo
  30. asod adhuc tamen metuo ne facta ex comparatitus aeque sit difficilis acdata
  31. b et Ari B ex aequationibus ultinis inserendo in medias fiet:
  32. e + 4 B D e + _ + ea est autem Bri a C
  33. eseu d inar Ye
  34. .Fua =37) a + 2ac+
  35. sed nom omnia consentinut, nec vero ad sequitur ex prioribus debere consentire
  36. poneremus Circuli et lonicae sectionis ordinatus angulum habere arbitrarium, et quaeri postea hunc
  37. angulum totem, ut aequationi huic novipimae satis fieri possit; forte res succederet, et
  38. foret ista sane ratio simplici Nima; sed verior ut re succedat ob angulim minimam
  39. quae angulo est recto An forte utile ponere pro aequatione ad sonitamu
  40. B m X + a + ny. nec ideo difficilius reperietur aequatio
  41. quato eodem procedent modo.
  42. 3 vateraque ut
  43. en Bcnu IXem Cat f a x . GB t. GDr 2ab a C ()
  44. Unde pro rax - a X p y. fier
  45. X - b et HDY F y + 8. er 8S
  46. 6 2. b
  47. valor lic eseca ipisarum Y et X. inseratur et in aeg. 3
  48. fier: y Yn
  49. +X8. + ac
  50. ( p2 9s eo
  51. tum aeg.b.
  52. (Z + dE +b 1 dib1 egstabis scribetur
  53. 292- 752+ 2bg- Ydb + β8 - β5
  54. + ca Z + ca b
  55. aen al+
  56. )
  57. Y Sbum nda
  58. 27
  59. 7 14Z + cab + ac.
  60. n locum aequationis 6.d
  61. ads. 1d
  62. ondilla r
  63. rausa aliam faciamus in locum na rab spibentes et
  64. 5. (92 358 + A + a Z2 + 12 4 1d (G2 aequatio in locum aeg. 1
  65. ad Cnicam scilicet. Vatam sit
  66. es Zp aequatio ad Circulam Ergo ex 20 et 2)
  67. + Lad i0. quae aequatio in locum est aequationis 4. unde G (+ = 2 in locum
  68. qui vulor asequandus valori 18 in quo Y + ca compendii causa volemus n
  69. d+dt
  70. +. 2d
  71. ab ered
  72. o loco aequationis 8.
  73. et b + B. quae lota cognita rocenli co et euit 8 f e Z = t ex 18 et aquando cum 23. habebitur aequatio:
  74. c2AZ
  75. atc 4a Arai ( ea et Z H4 + a. YC3, arc a
  76. 2H 14 al
  77. proaequatione 16 compendii
  78. fier a oer
  79. s + a x +
  80. .
  81. Jam in locum aeg. Y2 scribatur, 49

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 344v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0690?run=74