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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 308

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: 0.91.

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The machine reads it as

  1. AD A DR. ROMANE PROBLEMA
  2. E OB L E M A
  3. tionalium: data prima, ee rectaae quali lecundx mulciplici pet eLu45.
  4. Etinus quarta mulciplici per numerum 3, 795.
  5. Plus sexta mulciplici per numerum 95, 634.
  6. Minus octaramulripliCi pex MICFUM L, 138, 500.
  7. Plus decima mulciplici per numerum 7, 81I, 375.
  8. Minus duo decima mulciplici per numerum 34, 512,075,
  9. Plus decima quarta multiplici pernumerum 105, 306, 075.
  10. Minus decima sexta mulciplici per nUICrum 232, 676, 280.
  11. Plus decima octara mulciplci pernumerum 384,942, 375.
  12. Mlinusricelima mulciplici per numerum 488, 494, 125.
  13. Plus ricelima secunda mulciplici per numerum 483, 841, 800.
  14. Minus ricelima quarta mulciplici per numerum 378, 658, 800.
  15. Plusricesima sexca mulcip liCI pEFHUMETUI 236, 030, 652.
  16. Ntinus ricelima octara mulciplici peF HUMCFUM FEZ, 679, T00.
  17. Pluscricelima multiplici per numerum 46, 955, 700.
  18. Minuscricelima secunda mulcipliciper numerum 14,945, 040.
  19. Dlustricesima quarca mulciplici per numerum 3, 764, 565.
  20. Minuscricelima Cextamulciplici per numerum 7 40, 259.
  21. Pluscricetima octara MMLEip LICI PeF MLMeFUI HIF, 150.
  22. Minus quadras elima multiplici pCFMUMEFUI 1Z, 300.
  23. Plusquadrarelima lecunda mulciplici pernumerum 945.
  24. Minusquadragelima quarta multiplici per numerum 45.
  25. Plus quadrascha a
  26. Invenire secundam.
  27. cur in Problemate. Oporrer invenire eam secundam puram. Sicilla A. Sanc quadcacu
  28. poreltas est rationis dupla, cubus eriplae, quadraro cubus quincupla. Fxdiola aureme
  29. quadraeorum ec cuborum trequentior reperirio. Sed e porestarisemineniorisrelpecu
  30. interiores dicuncur eradus quibus ad poreltocem Ccandirur, ur in Ia8oxicis eA deliniculu
  31. Secundum quae quarca constimendarum concinue proporrionalium tc A porestas ca
  32. nis criplae adplicara X gradui secundo. Sexta A porestas rarionis quinrupla adplica
  33. Xgradui quarro. Octava A porestasrationis sepruplae a splicara X oradui lexc0. Co
  34. rinueruris ordo ad quadeagelimat usque sextami. Ergo secunda conrinue proporuon
  35. lium, mulcip lex per numerum 45, minus quarra mulciplici per nuerum 3, 795, P lus nt
  36. nulque binis alternis mulciplicibus per numeros in Fheoremare expolicos aquabicur
  37. Omnia ducamur in exanaphoram, seu gradum, qui elariori porestari proxime succect
  38. id eA quadragelimum quaccum. Psicur homoxeneum poceltatis rarionis quadrase qui
  39. cuptae effectum sub A limplici, e X eradu quadrage limo quarco, mulciplici per nunc
  40. rum a5, minus homogenco lub A oradu cerrio, et X ea du quadragehimo lecunco mu
  41. ciplici per numerum 9a5, plusminusque reliquis ordine homogeneis, ita reciproce act
  42. etis sub eradibus binis alternis; ec mulciplicibus secundum numeros conrinue eriane
  43. los a binario suum ducences incremencum in Problemate delignatos, aquabirur da
  44. homogeneo quod sc sub daro larere D e Z gradu quadragelimo guarro.
  45. 488, 494, 12) (19) 7 403, 6413800 (21) -378,658,800 (23) + 236, 030,6522
  46. 217, 679, 100 (27) + 46, 955, 700 (29) = 14, 945, 040 (37) + 3, 264565 (33
  47. DrODONTa Peric quaAEASIIITB LC L HIICAM rECtATUI CONFIHUE PTOPOE
  48. Sic daca prima X. D vero secunda mulciplex et adtecta prostapheretice, ut expoct
  49. Sit X1. A2 (1). 45 (1) - 3, 795 (3) + 95,634(3) = 1, 130,506 (7) + 7, 812,375
  50. =34,512, 075 (11) -=105, 306,075(13) -232,676, 280 (15) + 384, 942, 375

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 308. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0314?run=74