Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 319

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: 0.86.

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

The machine reads it as

  1. portiona
  2. EtioneP
  3. EFH
  4. l0. Hial
  5. mabu
  6. encun
  7. 102
  8. DrUMP
  9. edet
  10. iest
  11. H
  12. d
  13. E S P O N S V M
  14. Secunda vero concinue proporcionalium L N. eadem que intellisicor perpendiculum triansuli ad an-
  15. eulum perementis submultiu.
  16. (Dupli.
  17. nario ducencium incrementum labella.
  18. Perp.
  19. Bast
  20. LPerp. )
  21. Tripli.
  22. Ouadrupli.
  23. Sexrupli.
  24. Sepcupli.
  25. Octupli.
  26. (Noncupli.
  27. Sic poreMtAS ratIOnIS quadcaBe. quincuplae, adtecta proltaphaererice eo prosressit, ee
  28. adplicaca una cum homogeneis sub gradibus ad congruas unicaris epansphoras, agua-
  29. lis est basi ejus crianguli cujus angulus acucus ad acurum primi est quadrase. quincuplus.
  30. Progrellui aurem illi consemiris quem érabella emendicarum designarit in luo Proble.
  31. mate AdrIANUS ROmanUS.
  32. COROLLAREVM I.
  33. Ea his manifesta fit otess eau rectarum quae circumferentiis cireult
  34. subtenduntur.
  35. DE EF, PG, OFL, LHI, TK, _E CUBLEHCAHEIEBB, BE, BF, BC, BEI, BI, BR. Subcenla igituE
  36. E lumr vales eliatsulorum rectansulorum, quorum hypocenula communis est dianecet
  37. BC. e ad angulum acucum DBC duplus
  38. est angulus acurus E BC, cripluISFBC,
  39. quadruplus CBC, quincuplus HBC, et
  40. eo concinuo ordine.
  41. COnSrUAnEUE aurem concinue pro-
  42. porcionaleslinea rectae, quarum prima
  43. SIEipG Semidameero AC aequalis, lecun-
  44. da ipsiBD.
  45. Terria continue proportionalium
  46. minus primabis, aequalis erit ipsi BE.
  47. Ouarra minus lecunda rer, aequalis
  48. 27OC
  49. CC bitur
  50. O0
  51. OCc
  52. 90OC + ICCC
  53. Et eo infinirum concinuando ordine, adscica sipit numerorum concinue crianeulorum suum a bi-
  54. Equa L Pero. (angu. ) Duincupli.
  55. it
  56. Bast
  57. In circulo cujus A centrum, diamecer BAC, sumaneur circumterentix aequales CD,
  58. PARZ, SCRDE. SEC.
  59. Ipsa (CD. XV. XXVIIT. XLIL.
  60. PABE. Erreliqua, uc est oratmatuns primo ad reloluriones Theoremate.
  61. Sit AC seu Prima
  62. BD seu Secunda
  63. Terria
  64. Ouaria
  65. 100,000,000,000,000.
  66. 196,000,000,000,000.
  67. 384, 160,000,000,000
  68. 752,953,600,600,000
  69. Eric Ouinta 13 475, 789,056,000,000.
  70. Sexta 2, 662,5463349,766,000.
  71. Septima 5, 669, 392 237,529,600.
  72. Oclara 1L, 112,006, 825, 558,620.
  73. BE 184, 760,000,000,000. verb
  74. BF 164,953, 600,000,000. GIru- CF. XXXIV. XXVI. VI.
  75. Itaque erit) BC 139, 159,056,000,600. feren
  76. recta ) BA 107,778,549, 760,000. i
  77. BI 72,096,901,529,600. Semis. CL. LXVIIL. LTT. XII.
  78. uBR 333531,3373238, 016. Ses. 1C
  79. XX. XX. 2IY.
  80. RUE
  81. CE. XXII. LVII. XXIV.
  82. C6. XLV. LIV. XLVITI.
  83. CH. LVET. ZZIII. ZXX.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 319. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0325?run=74