Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 332

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. I P:O L E ON IV.
  2. Eanoic in E circulum AEIEB. ABarur aurem BI diamelet circuli. Ouoniam is cireulus ran
  3. 32
  4. situr a recta BC in B, cricangulus CBI rectus, atque adeo erune IB, DC parallelx, e cum
  5. junGetUT LE Aec anguluS IEB rectus, Scur est angulUS DEF. OUArE LE, E. P coincidunc im
  6. eaudem lineam rectam. Ieaque duo similia eriangula (uNEDFF, BF. L lub eodem vertice,
  7. e ideo circuli ea criangula circum scribences sele muruo contingenrin F, non etiam le
  8. cabune. Igitur per A punctum deleripiis est circulus BAF, quem recta BC in B, circu
  9. luSVeTODEFin E. concingun. Ouod erat Faciendum.
  10. LOBE E M A VII.
  11. Daris cuobus circulis, dc HC tec de scribere terrium circulum, quem
  12. duo dati, d data LInCa reCtA CONFIHSAME.
  13. Sine dari duo circuli, primus
  14. cujus A cenerum, secundus cu
  15. jusB, ee daca quoque linea recta
  16. CZ. Oporret describere cerriun
  17. circulum quem circuli, quoruN.
  18. A, Bcentra, _ recta CZ contin.
  19. Sanc. Cadac in rectam CZ Pet
  20. xerpendicularis BZ, dt sececurim
  21. Z, uEAE ZX aequalis semidiame
  22. ero AL. ad primu circulum perti
  23. nenci, ec ip( CZ 29atur parallela
  24. HIX, e cenrro B, intervallo BC.
  25. aequali adgresaro vel differentia
  26. semidiamerrorum primi e lc
  27. cundi circuli describatur circula.
  28. Poliricius. denique per A pun.
  29. ctum de scribarur circulus ACH
  30. quem policirius concingac in C.
  31. e linea recta HIX in II. e l
  32. ejus F. centrum. _ manifestum
  33. CA idem E. SiIgnUM FOTC CenCTUN
  34. circuli quem dari circuli, quorum
  35. A, B centra e dara linea recta C L
  36. contingent, ob aequalia ab xqua
  37. libus dempra undiquaque, vel ad
  38. dita undiquaque incerralla. 1149
  39. demmictatur in CZ. datam perpet
  40. dicularis FC, ea erir Lemidiame.
  41. tex circuliL MC, quem circulis
  42. quorum A, B cenera in puncti
  43. L, MI X recta CZ in C contin
  44. gene, habita ea, quam decebic, d
  45. opus exiget parrium ratione. I1a
  46. que factum erir quod oxorcuit
  47. NTrcoctS.
  48. Sic aurem habebitur ea quam
  49. decebit, opulre exisee, parciun
  50. ratio.
  51. dac.
  52. Ve rerrium circulum
  53. CoringanEExETA. Primus circuluS
  54. x
  55. cujusa cenrum ericmajos dano
  56. loee
  57. primi e
  58. ceder d
  59. Mlaris.
  60. uBC a1
  61. Vererrius
  62. peanei
  63. lCenErI
  64. andu
  65. isterene
  66. dsecone
  67. ua C
  68. ETerI
  69. pete
  70. pdiam
  71. Da
  72. cte,
  73. ae
  74. pneta
  75. 1odF
  76. derecta
  77. r
  78. EC
  79. liT
  80. e
  81. pur
  82. 10

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 332. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0338?run=74