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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 203v

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: 0.75.

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. 202r); this page is its left half.

The machine reads it as

  1. ita vienendum opinor ad tangente
  2. Inveni alibi, _ Theorema sequens magni monenti ad
  3. Analysin transcenidentem si sit arcus circularis AF ad
  4. ad arcum circularem AD, ut 1 ad . (modo ambo sint
  5. quadrante minores) posito siu complenentica
  6. C
  7. et radio Y. fore sinum complenenti L ac arcus AF,
  8. quem vocabus(quem
  9. sium CGq vocabinus Caqualem a + S - + Via an.
  10. Quod si continuetur ratio arcuum, et fialt
  11. cum in besectione quim fruectione
  12. ee polygoliorum retadem quaerans. Arcus AD. AF. AH. AM continue proportionales
  13. erit et q
  14. erit series hujus modi: CE aequ a
  15. si = a + Y aa - vocetur C, et La- S aa vocetur D.
  16. fiet: CE aequ ( + g0
  17. CG aequ ( 4 gcot
  18. CL aequ ( 9c=
  19. CN aequ. 1c = + 94
  20. CG aqu. Vatiq aa Da - yna
  21. t
  22. 0
  23. Ct aquo. Viat BEaa. + La - Y aa vr
  24. ex +........
  25. . taque ratle nsqua arcus AD secatur et suffecatur existente co, numero jectionum factarum
  26. existente C, ex. 9. pro arcu AM, 3, erit sivus complementi huicaraui Am, reones,
  27. arcui a, respondens C N aequ. ( ed 7 cd s et t ioH
  28. eit
  29. le
  30. 10
  31. )Con cont seu vet
  32. 1ed
  33. ed i
  34. 2G e
  35. .1
  36. ped er
  37. tam
  38. . d DEoge OD ap. 1
  39. q2
  40. sunct e sublata n, item
  41. et de
  42. ce. 0 + 15 91 aqu 1e d 1+ O
  43. Id e vyste b
  44. scu
  45. vatio 1C aequ 1e+1
  46. er iet is tollenda reclus 1fago 1C - 1C 15 aequ 2C - hre: H. a
  47. =R et 15 aegit 1( K 1cd = 2CH KI C): h = K seu 1S equ ECmhoC t si
  48. 2C = R1C i h = K et eidem mogo 15 aequ 2C F - t1c.:
  49. k-
  50. C = 16. D,: 1.0 - 1: D et yfaqu. 2C - 1C: 0, . 1: 9 - 1.
  51. qu. 2C = 1c. ) _O = 1: co pco
  52. vel etiam 1e aego , 3C - 15. D
  53. +rc 1. D :. 5 - 1. 0
  54. qu 1C:0- 2
  55. 3Caeg. 2C 3c = 1C D + 1cO 2C( v e 9-00
  56. cedit autem divisio per 5= O: et. fit thaotema Mremotibile 3e. eqqu 2C. O D - 10
  57. seu 1C aq. rrsc 9 + 9 20 + X. 3C quae est relatio generalis
  58. inu complementi, quodu carcus 1C 1C, 2C, 3.C quorum
  59. respondentes majon meco medius, minor sunt in ratione ac
  60. continua ed ad 1
  61. fbus quibus hibet
  62. betur quantihesi ex omnibus simt complementi eodem
  63. tempe
  64. +Dco
  65. ub
  66. G) exstente
  67. formata
  68. oposita
  69. 1. 1
  70. et Ot Dry
  71. lobet si cos2 s tentem ac
  72. BHI) pErr-inC
  73. 1st
  74. an sum
  75. peum
  76. nogit cons
  77. uthnetica
  78. endrfferentias insente partas
  79. iem oideamnan univerale aliqud abrchi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 203v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0406?run=74