Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 464

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: 0.82.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. LL C F B R A.
  2. Sic TanS; .. 667, 5486693. 2 62, 5044427 = la15; . Cui respon.
  3. det Angulus 89, 5, 0, 17, prOxime. ErG + 2 + = -O = 179, 0,d, 17 7
  4. tere. Cujus Sinus o,or7ASFF: nempe idem cum linu 8, 50,50, 43
  5. Deinde; secandus sic Angulus , in r0 partes, quorum quaelibet 1. Ouaerun.
  6. tux isiCE, a, b, C, a en F, 8, B, 1. Nempe,
  7. 2360000= 6 169
  8. Sina (8, 58, 5943, 10, 9171603. R = +:: Sin: O = O, DL745LI. L, 01694= 4.
  9. 75C
  10. Sin. B (0,5759, 43,) 0,0168694. R = F:: Sin; O =0, OF7 45TT. 1,03448- b. (816
  11. Sinir (0,56,59, 43,) 0,0265780. R = L:: Sin; O =0, O2745TL. 1, 05264. 6
  12. Sin; d (0, 55, 50, 43,) 0,9162877.
  13. Sini (0, 54,59, 43,) 0,0759969
  14. Si
  15. Sinn (0, 52, 50, 43,) 0,0754752.
  16. Sin. D (0,52, 59, 43,) O,O25T243
  17. Sinis (0, 50, 59, 43,) 0, 0148335.
  18. Praxis altera.
  19. 2,07T44 a
  20. 1,09O9T =0.
  21. 2, T2L10-)
  22. T, F3206=
  23. 13F5383 = 6
  24. 2,17647= 1.
  25. 7,20000-7
  26. 2880
  27. 313
  28. Sit R = 1. L =0, 1. L. =1, C. A= 10. L. 180F = 179,56. = - 89. 55.
  29. cujus Tansens 687,5488693. EC, ut 2, 1. ad 0, 1: : sic 687, 5488693. aet
  30. 32,74042235 = cang; Br. 88, 15, r, 57 +. = tang; - -. Fr50 F ~ +
  31. =O = er; 178, 10, L7572. Cujus Complementum ad Semicirculum, Sc. F, 48,
  32. 58, 213. Cujus Sinus 0,0379827. ErSO,
  33. 2,00000= P:
  34. Sin; B(= 2, 47, 58, 22) == 3T4023) 329827(F, 01852 =- b.
  35. Sin; y (= 2, 46, 58, 23) = 3T2203) 379827 (2,02803 =c.
  36. Sin, S (= F, 45, 58, 232) =308208) 329827 (1,03773 = d.
  37. Sin; 2 (-= 2,44, 58, 22) = 305290) 3T9827 (1,04762 = c.
  38. 302343)
  39. 290475
  40. 296567)
  41. 293660)
  42. 290752)
  43. (1905769 =5.
  44. (1,06796 = 8
  45. Or8
  46. 6
  47. 34 77
  48. 70
  49. d
  50. 1891
  51. 1007 20
  52. 1027 20
  53. (2,07843 =- B, 2047)
  54. (2, 0BOTT = 2068
  55. 2. 2
  56. (F, 10000 = L τ080
  57. e
  58. Flactenus Advertaria nostra. Obi duos casus expendimus: Nempe, cum L ati
  59. cudo Limbi ponitur pars Duinta, et pars Decima, brerioris Radii; e angulus di
  60. videndus, 20 minuta prima: Fanta Fere cneiBcia quantum feret vulgaris Canon
  61. Frigonometrieus. Et quidem ultima Onitas in ambisuo est; nunc justo major,
  62. nunc justominor. Radium autem (ut cgo Toleo) Facio F; (non, ue plerumque t
  63. 2000090O;) quo omnes Mulciplicationes e Diritiones per Radium Paciendae prae
  64. cidantur. Adeoque Sinus habeo pro partibus Decimalibus; quibus itaque, cum
  65. opus ell, Ciphras praemitto, quo de Unius Integri loco conster
  66. Simili procestu utendum erit, mutacis mutandio, si L acicudo L imbi sumatur in
  67. alia quaris proportione de Kaast consicudinem.
  68. Sed commontus crut (ad ricandam molelian coltes quaeettet partem proportio-
  69. nalem) uttumatur ansulus O commodae na MHaIS (Jultis minutis primis de
  70. cerminandae, absque annexis sccundis cerciitre;) acque lla quaratus Ractii maxi
  71. nt e longitudo, eodem modo quo reliquorum a, b, c, . Puca, Ly in Praxi polte.
  72. Tlore, Tumpto ut prius R = 2, ec Angulo, A = 10, Luacur Angulus O, (non
  73. Gth Illic prodit X78, 20, L,572, Sed potinis) 278, 20; cujus complemencum
  74. 2, 50; hujusque sinus in iplo Canone habetur 0,05 19022; et reliquorum item,
  75. B, 7,5, _c. Sinus similiter ibiidem sladebuntur; ut una tantum Diritione opus
  76. lic pro lingulis exhibendis; ipsaque Ractu L lonsicudo, non quidem praecise ut
  77. PriuS F, L; Ped huic proxima (qua iraque sumenda Cric) 2,09996. Nempe,
  78. Sin
  79. 19
  80. 90
  81. 17+
  82. 264
  83. Sin; a (= X, 48, 58 23) = 326920) 310827 (1,00918 = a.

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 464. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0488?run=74