Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 37

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: 0.88.

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

The machine reads it as

  1. OT A PRTORF
  2. R OP OSTFTO LI
  3. Triangulo rcCFaLG CIO ANGUNMM-
  4. 5.
  5. Friangulum anguli quadrapli
  6. li quadrupi, cescs trransulum re-
  7. ctansulum ria lynareleos, constituerc.
  8. rocetur aurem illud anguli quincu- Bc.
  9. pli.
  10. Suneo duo criangula rectangula. Vnum
  11. aneuli simpli, cujus hyporenula A, basISD,
  12. perpendiculum B. Alcerum anguli quadcupli.
  13. cujus hyporenula consequenter similis A qua-
  14. deaco- guadrato, ec. Oporreat ab illis duobus
  15. cerrium vialrnareseos, constiruere. Fint deductio, ut docuit plopslirio 46. caluprimo.
  16. Fir hyporenula similis AgC. BalisD gC, -DC in B910. F D in B 99. 5. Lerpendicu-
  17. lum simile D99. in B5, = D9. in BC. 10, Y B9C.
  18. EX IIIS ARGVILCIK
  19. Contectarium genexale in Mau-
  20. etionibus criangulorum rectan-
  21. Sulorum.
  22. Si qua porestas componatur à bino-
  23. mia radice, de Singularia Facta homoge-
  24. nea distribuancur in duaS ParEeS (UCCCMI-
  25. ve, ucrobique primum adhrmaca deinde
  26. negaca, ee harum prime parci similis AaE
  27. balis crianguli rectanguli alicujus, per-
  28. pendiculum alceri. Fric hyporenula simi-
  29. lis ipsiporectari. Cum aurem rriangulum
  30. illud cujus basis similis sc, vel aequalis u-
  31. ni eradicibus composirionis, perpendiculum vero alceri, à suo cui perpendiculunr
  32. subrenditur angulo, denominationem Corrierur. Priangula lane ab iildem radicibus di-
  33. ducta, per quoscunque porectatum ordines commode ab eodem anoulo mulciplici de-
  34. nominabuncur, sccundum condirionem porestaris. Duplo, videlicet cum porectas cst
  35. quadratum. Friplo, cum cubus. Ouadcuplo, cum quadraco. quadrarum. Ouincuplo, cum
  36. quadraro. cubus, et eoin intinitum progrectu.
  37. P R OPOS FFFO LTI.
  38. Ix adercato duarum Faccum L aeCa Catcute, triansulum
  39. LrectaHIS CIAM, COMPOHETC.
  40. Suneo duxe radices B, D. Oporreat 2b5 B , D, uE
  41. nomine uno, ee B = =D ue nomine alcero, crianou-
  42. lum rectangulum componere. Flyporenusa ioirur ex
  43. jam eradica methodo, ter similis quadraro abs B. F D,
  44. F guadraro absB = =D, guae duo quadraca valeneB9.
  45. 2+ D9. 2. BaS Rec Cimilis quadraco ex B L D
  46. =quadraco Cx B--D, la cst lmitiS hec B MM V 4.
  47. G9 Dg. in B96 + B99
  48. Lriangulum angul guttpI.
  49. 9c
  50. plis de triangulo rectanoulo anou-
  51. DGC- -DC. in B9 10.
  52. Din B94. 5.
  53. B -- D 2, 1d CA B9. 2, =9. 2
  54. 39.
  55. Quodopus in idem cccidie, ac li ab ipsis radicibl
  56. componeretur laceribus, qua sectum angulum con- Bin D qu’ale
  57. ciruune permuraris.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 37. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0053?run=74