Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 695 · Oldenburg, fol. 27r

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: 0.80.

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. 28v); this page is its right half.

The machine reads it as

  1. Siro Clarosso et Conpulhs, a
  2. Duo Gothosredo Guit. Leibnitio, Pho. et ICto celeberro
  3. Honr. Oddaburus Felicitua
  4. Accepi literastuas, quae machinam tuam novam describunt, et Algebraica ydacr
  5. rariora audegitant. Prius quod altinot, Nostratium nonnulli, augendis reby me
  6. scanoir addictiores, ni ea vidontur esse sententia, objectionibus à temetipse souva
  7. tis, generali esta reponsione remedioq’à te assignato minus esse satisfactum
  8. optant internu, Experimonto rem totum commuitei, idque navigatione quadacu ad
  9. Troxicos et Aquinortoulou instimonda; eamy rationom dubus qua supersunt
  10. omnibus excondis quaru maximé accommodatan esse censent Ingerium interun
  11. tuum, un excoyitanda machina tam artificiosa abunde elucare assi, pro ejus
  12. communicatione debisas tivi gratius reserunt
  13. Posterius quod attinot, da Collinius, pramessa salute, quae sequuntr
  14. reniteiz. Princo, el. Gregorird, in postrema qua ad Illustre tugenou responsione
  15. seriduu suppeditasse, ad semi cirouaferentiam circuli inveniendaur, G talis e;
  16. Done radiu = v, dinuidium latus quadrati anseripti circulo = d, et differentium
  17. iter radorumr et illad latus Euadrati = e; seiciruiserentia aequales C
  18. 2d -
  19. = 23c4
  20. 756d2 113400
  21. 263c
  22. 24 s 440c
  23. et. Du iifidatu,
  24. quae series adeo produci potest, ut a seni circumperdatia minus differat, quam
  25. illa quantitas assignabilis
  26. Editu loc suit a d. Gregorio, postquam d. Mercatores Logaritamotechma juur
  27. tabat; quae quamprinum videbati tucem. ad D. tharrovrum a ue suit tranguissa
  28. qui obcervato n ca insinctae srica ueu ad logaritumos construondos anit
  29. batr, metaodum illam jaum aliquam dou ante’excogitat à fuitse à suocessore quo
  30. xecotono, omnibulue corvis, earumus portionibys, Geometricis aequé ac Mechanices
  31. universim applicata. Cujus rei epecvviria quada subs eut.
  32. 2. Posita pro radio unitate, datoque X pro sinu, ad iiveniendum Z Arcm serdes haec C,
  33. 2 = X + + 70 X + 2 X + X et in infinitu
  34. Et extracta hujus Aquationis radice, methodo syubolica, si dedoris XZ pro arcu
  35. ad nivencondum A sinu, serdes, haec :
  36. X = Z - 3 23 + ,0 Z = r0 10 E7 362002 X 2 et.
  37. Atque ha serdes facila continuanque in insinituo. Prioris benosicio ex sinu 70 gradum
  38. Cenlenii numeri facile strunuy.
  39. Consimiliter, si ponas radium R, et 13 sinu arcus, zona initer dianetrs
  40. et chorda ille parallelar e
  41. = 2 RB -
  42. 3
  43. E
  44. 205
  45. 56k
  46. Atque eadem serios, mutatis signis derucini secundi, iti et bti inser
  47. vit assignanda area yona sequilatetales huperbolae, vin
  48. 55
  49. 56s5 58d
  50. AFGB = 2 RB + 32
  51. 72= 2027 +
  52. 25C
  53. 576KF
  54. 1405R3
  55. Rursum, dato radio R, et sinu verso sive eagiteû a, ad in veniondu areaur
  56. segmenti resecte à chorda, pone 6 pro Ma reti
  57. segmentu = +ba 2a3
  58. a+
  59. Et arcus niteger = 2b + 6 + 20b3 +
  60. 57661
  61. qua ha sercos duo Gregouo debent, quas exhibuit ex eo rempore quo
  62. usus e hac methodo: quod aliquot post annos ab eo sache, postqai sat
  63. 5B
  64. 570127
  65. 3 A11
  66. 1400R9
  67. 2)
  68. a
  69. sat
  70. 552b:
  71. 62as0
  72. 140 0b9
  73. 7a
  74. a7263
  75. 46
  76. 3C
  77. A
  78. 12 A pril. 1675

Cite

LBr. 695 · Oldenburg, fol. 27r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-860722:0053?run=74