Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 176

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: 0.81.

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

The machine reads it as

  1. FR AN CZSCZ 2 SCHOOTEN
  2. ea puncto Fasamus duas rectas lineas F G, FP, ipsis AB, BC
  3. parallelas: Prit enim parallelogrammum AP FC paralleloram.
  4. InO ABC D aequale, Per L2 PrOp. 2i libri Conicorum Apollonii.
  5. AdCO HE AE _ FF Tumi possine pro duabus quancicatibus inde.
  6. terminatis y e x, qua in se invicem ductx esticiane x y ∞ ab.
  7. quod exigebat propolita aequatio.
  8. Fodem modo, si aequatio fuerit xy ∞o b y = aX, de producan.
  9. tur rectae DC, P F, donec concurrant in punctum FI: ericitidem
  10. parallelogrammum DTIF O parallelogrammo C HIF. B aequale.
  11. AC proinde (iD C pOnatuE ∞ a, _ C B ∞ b, (VE antC) a bina
  12. quantitates indeterminata y e x aa binas lincas C II _ TIF rC
  13. FCraNEUE, atque DFISCUa-L y ducatur in TIF Ceux: erit rectan.
  14. culum DF seu x y. L a x aquale rectangulo C P scuby, utpote
  15. quod inrenitur mulciplicando C B Pcu b per C HI Icuy. Adcoque
  16. si utrinque auteratur ax, relinguetur x y ∞ by = a X. Oux eAt
  17. aequatio posterior.
  18. F quibusmanifestum sc, quod, lic et plurimi reterat, guaenam
  19. rectae pro quancitatibus indeterminatis lumantur, ut aequatio
  20. breris acque facilis reddatur, Temper tamen linea ejuldem ge
  21. neris appareat, quocunque tandem modo sumaneur.
  22. Omitro alios requationum modos seu formulas, candem cur-
  23. vam designantes, quandoquidem complures suHE. In genere hoc
  24. diCaIm, EOEAM RQUATIONUMLIILAFCIM VATICEALCI OFIPI FANEIIM ex VA
  25. ridharum currarum ad dirertas rectas lineas relatione. Nam, ut
  26. octendatur quaenam differentia obtineri possie, cum curra linea
  27. ad diverlas rectas lineas refertur: Sunto duae rectx linea posirio-
  28. ne datae AB, DF, Sibi MUEMO OccurrenteS in D; punctum au-
  29. ten
  30. der
  31. CF
  32. All
  33. MV
  34. CuM
  35. sade
  36. rectin
  37. qule
  38. eum.
  39. A +
  40. Vaa
  41. hocele
  42. HO
  43. sisubE
  44. tIVO
  45. DMa

Cite

[Ps. 1], fol. 176. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0198?run=74