Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 395

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: 0.84.

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

The machine reads it as

  1. ceri le
  2. verto
  3. JUMre
  4. iaAB
  5. equale
  6. exrect
  7. jaMCHI
  8. pprin.
  9. pium B,
  10. Ila
  11. 12BE, C1
  12. CHO
  13. B, in
  14. l
  15. l
  16. rcirelt
  17. a
  18. RR E SBONSORVM. LFBLR YSII.
  19. P R OPOSFFFO 1I.
  20. Si describatur helIX CUIjUS PTINCIPIUML LEI MMa CKILCMitate diametri ali-
  21. cujus circuli, quadrans vero principii convertionis st ipla diaeter, In CI-
  22. dant autem in helicem duxe rectae qua Faciant angulos cum diametro x-
  23. quales, ex ab extremicare diametri ad punctum incidentia cduCantur dux
  24. alia linex rectae, a quibus qui fit angulus secetur bitariam a certia quapiam
  25. recta. Tercia illa in ca anguli bipartitione helicem Fere continget, tanto.
  26. que propius cum contingenre concurret, quo incidencium anguli cum dia.
  27. MCEFOFactI CTUHE ACUTIOTES.
  28. Sic circulus AB CD, cajus diame-
  29. ter BD, _ describarur helix BGIIZ.
  30. cujus principium convertonis intel.
  31. ligatur recta contingens circulum ad
  32. B, quadcupla ad iptam B D diame-
  33. erum. Teague HE B D quadrans prin-
  34. cipii convertonis. Sumaneur aurem
  35. DE, DE circumferentiae equales, et
  36. ASaNEUE BK, B F incidences in heli-
  37. cen ad puncta 6, FI, d connectan-
  38. cur DG, E) D secances circumferen-
  39. ciam in l. K Iplaque circum ferentia
  40. IR Sececur bitariam in L, _E jungaEur
  41. DL. In helicen ioirur in identes
  42. DO, DE, Faciune cum diamerro BD
  43. angulos aequales. Angulum aurem
  44. ab eductis D, ID secac bitariam
  45. recta D L. Dicorectam DLhelicen
  46. Fere contingere in iploD puncto.
  47. Helicen enim vere contingat re-
  48. eta D M, intercipiens in MI eam qua
  49. circulum ad B concingit. FA igitur
  50. B Ml semiperimerro circuli ABC ~-
  51. qualis. Oualium itaque DB CA200,
  52. 000, talium BM cA 3T4, 159 PFOXI
  53. me. Angulus iBitur BD ML AC P2E-
  54. EIUM LVIT. XXXI. ri. Ipla aurem
  55. DMI circuli A BD circumterenciam
  56. incercipiat in DI. Erie circumferen-
  57. eia BN parrium cxv. 11. XII. Sed e
  58. helix continoencem BMI incercipiae
  59. Primum in 6. Ieaque BO sic Cemis
  60. principii convertionis, _ jungaLIE
  61. DO secans circumterenciam in P.
  62. Duoniam BO dupla est BD, HEaH-
  63. Sulus BDO parrium LXIII. XXY.
  64. LFFTI. Jeaque circumferencia PB
  65. PAREIAM CI CXZVF. LI. XEVTI. RC-
  66. Sidua vero e cota perimetro BND P
  67. AE PATTIUM CCXXXEF. VITI. XII. LC
  68. E relidua illa secerur bitariam in R, AC BR CCU R P ParriUI CXVY. XRXIIII. vI. excedens
  69. BN AAnTATAEDET PAETEI L. ZXX F. LFLII. eriam s angulus ex incidente BO ee diametro
  70. sic rectus. Ieaque sic BO maxima incidentium in hypochesi duarum qua cum diametro
  71. laciant angulos aequales. Dux aurem illa incidentes quae in expolica constructione sum-
  72. cC
  73. PE3

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 395. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0401?run=74