Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 180

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: 0.89.

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The machine reads it as

  1. 180
  2. Li Dato innumeris cubo adtecto adjunctione solidi sub lateris quadrato
  3. d data coefticiente longitudine, latus analytice clicere.
  4. PFOPONALHEL C F 300, Xquari 86, 220, 288. Ouaeritur quanta maonitudOAEF N, Fd
  5. dixre propoliri adfecti cabi: id est quadrarum cujuidam numeri ductum in lacus et in 30,
  6. Facit86, 220, 283. Quaeritur quis sir numerusille.
  7. FI86, 220, 288 cubusnon purus, se d adfectus adjunctione solidi sub lareris quadrato
  8. ex dara coefticienre lonsicudine 30. Cubi aurem hujusmodi adfecti ordinata genelisi
  9. geneli cubi purihoc rantum addic, ur lateris singularis primi quadearum ducatur in coet
  10. ficientem longirudinem. Deinde lacus secundum ducacur in duplum rectanoulum lub
  11. latere primo et coessicienre longitudine. Lateris denique ejusdem secundi quadratum
  12. in ipsam quoque coesticientem longicudinem.
  13. Ex adFecto ioirur hujusmodi cubo, uc ervancur latera, sedes uniratum sinoulares cu-
  14. bosmerientium constiruentur solita arte, punctis subcus collocaris delionandxe; et quot
  15. numerantur se des cuborum, punctare, coc quadratorum se des per binas videlicer alternas
  16. houras (cum sic coëfficiens subquadrarica) collocabuntur desuper. Fr in ultima quadra-
  17. eorum sede, quae alioqui prima sic dum cenditur a lava ad dexrram, ix Ca consister. Vnde
  18. Si conster pluribus figuris quam una, prorumpenrin anteriora reliqua.
  19. Hlis ica constituris, lacera non secus elicientur quam in analyli cubipuri, hoc ad dito,
  20. quod ipsa coëtsiciens e divilorum numero est, ac insuper, posteductionem laceris lingu
  21. laris primi, planum sub coefficiente ex duplo singularis laceris primi, eam ledem occupa-
  22. curum, quae in anteriora proxima est à puncto in quo coëtticiens consictir. VOCCtIF du
  23. cemplanum explerionis, congruentre scanlorium. Fc elicitorum laterum quadrara qui
  24. dem ducuntur in ipsam coefficientem, ipsa vero lacera in planum explerionis, lolidis oua
  25. inde hune sub conorua sede, qualem rario mulciplicationis exigie, delineneibus, et ute-
  26. rendis cum Colidis reliquis ex propolico adfecto cubo.
  27. Coefticiens denique in succedentia quadratorum loca, plano sux explerionis sempet
  28. praecunce, ordine subjicirur, cum subrus diuisores quoque morebuncurreliqui. Vevide.
  29. re es in paradigmare.
  30. Paradisma analy seos cubi dafect dajunctione solat sub coefficiente
  31. loncitudine E lateris quadrato.
  32. L Eductio lateris lingularis primi.
  33. Coessiciens lonsieudo
  34. DE N V NE F R OS A
  35. PR OB L E M A ICL.
  36. Ilbsdolibe doblbbbo
  37. Tot sedes pun-
  38. ctave quadra-
  39. 000Z0t n
  40. Cubus adfectus resolvendu
  41. Solida ablariria-
  42. Summa solidorum ablari.
  43. iorum
  44. Reliquum resolvendicubi
  45. adfecto
  46. TI Eductio lateris Mgularis secundi.
  47. (elanum expletionis.
  48. Divisorum la coefficience in du
  49. pars supertor elum lateris primi–
  50. Coëfsicienslongitudo.
  51. N 4
  52. 16
  53. Ottodito
  54. 166427
  55. mert
  56. circt
  57. iica.
  58. Cubus laterisprimi.
  59. Solidum a quacraro lateris prime
  60. in coefficientem lonsisudimen
  61. Eib

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 180. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0186?run=74