Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 324

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.

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

The machine reads it as

  1. 324
  2. FR A N CESCF d SCHOOFEN
  3. eadem que quantitas a in earundem aequationum terminis lubro
  4. pari semper polc, cridens est, iplam unius ejuldemque Parabo-
  5. lae ope construi posse. Idem incellisendum quoque elt de aequa
  6. cionibus numericis erium quatuorre dimentionum, quarum nulla
  7. ex radicibus est rationalis, quarum que ralor smiliter per le-
  8. etionem Conicam est determinandus. CTc supra fuie ostensum.
  9. Cacerum uc haec regula cuiris perspecta reddatur, concipiatur
  10. ram p. 86 Parabola ehe descripea LAC, cujus latus rectum lit ∞ a seu F, d
  11. vel 89.
  12. in aXC ejuS ADR L allumpea AD ∞b, Fingatur ex D eidem
  13. perpendicularis esse crecta D F ∞6, centroque F interrallo F H
  14. ∞ d descriptus circulus FFIC, qui Parabolam ab utraque parte
  15. axis secet in (, d F: Oporreatque inreltisare aequarionem, cujus
  16. radix sic perpendicularis OX auEFL. ∞Z.
  17. Ad quam inreniendam, diridatur 2Z, quadracum ex CK, per
  18. lacus reCtuM SCUa _E AE AK D =2. F qua subducta AD ∞ b, rC.
  19. linguetur DR seu F M ∞ = -b. Deinde, quoniam addiris E. D,
  20. hoc elt, MR, _ R C, cota M C CA ∞c- F Z; _ quadrata ex FM
  21. e MC Simul addica Faciane
  22. quadratum ex P C: erir =
  23. aa
  24. = 2b22 + bb + CC + = 6. 2 = Zky
  25. b2 2
  26. hoc est, ordinatâ aequalitare, habebitur aequatio
  27. 2+ ∞ X + abZ2 = aac2 F a a d d. Fadem quippe, quxe in
  28. ad
  29. =a a bb
  30. a a 66
  31. venitur, ponendo F L D - Z. Flinc BI, exempli cau(5a, aequatio
  32. propolita construenda tueric Z + ∞ X - L ap ZZ = a a g Z F a 3Y:
  33. erit, Cacta separatim comparatione inter lingulos terminos unius
  34. et lingulos alterius, b ∞ = F P, 6 ∞ 5 9, ec
  35. d∞V =aa = ; ap. F + pP F + 49. F ar. Ouod illud iptum esto
  36. quod Authoris regula Faciendum praecipie. Fodem modo re-
  37. liquorum caluum constructio inveniri porest. Idem intellige
  38. de constructione aequationis paeur 97, aliarum que hic lequen.
  39. tium.
  40. Adeoue haec regula omnium, quas aliquis exoptare queat,
  41. cereralissima sit es perfectissima.) Ouoniam autem, quo pacto
  42. Solida
  43. Vide figr-
  44. 7V

Cite

[Ps. 1], fol. 324. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0346?run=74