Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 120

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: 0.86.

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

The machine reads it as

  1. 12C
  2. FZOR TMONDE DE BE AUNE
  3. proinde cuin distantia puncti A a centro sic V 5bb, quae lemissis
  4. es Laceriseran(versi (quoniam, cum duorum quadrarorum unum
  5. alterius est quadruxlum, lacus tantum lateris fic duplum); mani-
  6. Feltum es, punctum A rerticem fore diametri AL. IdeoquesI
  7. Fiat M A ∞ V 20bb, erit ipla latus transverlum, e latus rectum
  8. Crit, (ut diximus,) V = bb. Ouorum demonstratio facilis eAt.
  9. Nam per prop. 21. lib. mi Conicorum Apollonii, ut latuseran-
  10. verlum M A ∞ V 20bb eAt ad latus rectum V = bb, ita elt rectan-
  11. guLMIm ML A ad quadratum ex L. X. FA autCM AL ∞ V E X 2
  12. Llinc si mulciplicetur V 20bb + V F x 2 Per V =x =, habebitur
  13. Mulciplicando rero id iplum per latus rectum V = bb, exlurgie
  14. 400b+ x 2 L V 200 bb x +, quod divisum per lacus tranlversum
  15. 20
  16. 80
  17. V 20bb, exhibet Y b b x 2 L V 10 ∞+ hoc eAt, Vbbx = +
  18. 1600
  19. 25X +, CCub~ L L∞ =, PEO quadraTO ex L Z, unde ip (a I. Z FE
  20. Vbx F = x 2. Jam si ad lineam L X addatur linea L. K ∞ = X,
  21. obtinebitur linca XK, hoc est, y ∞ = ∞ L V bx F = X =, aC Pet
  22. consequens V bx L = X = ∞ y - ZX. Vnde duct a utra que equa-
  23. licatis parte in se, Het bx L = X = ∞ yy - x y L = X =, seu
  24. yy ∞ bx L xy. IIinc utb. Fy Schabet ady, icay sc habebit ad X.
  25. Ouod erat demonstrandum.
  26. Proponatur adhuc aliud exemplum, reterens eum casum in
  27. quo nOn reperiatur = x in aequatione. Hlabeamus itaque ae qua-
  28. tionem hanc ry ∞ - = d y .- bx, cujus radix eA y ∞ d qu
  29. V d -= bx, quam CONSTTUETE OPOFECAE. SuPPONatuE in FIgUFA
  30. sequente AB ∞x, e angulus AB C ad libitum, B C aurem, in-
  31. delinite continuata rersus B, ∞ y; hacque BR ∞ d, quae hic idem
  32. peaestat quod min superiori Formula, quoniam habetur - d. Du-
  33. eta autem NK indetinite parallela ipsi AB, SIImatUE K I XquIL-
  34. lis AB, prouc ostensum fuic pa5. 27 & 28. Ouo facto, relinguetur
  35. tancum V d F bx, _ pagina sequens docet lineam quae sitam el-
  36. se Parabolam, quoniam non habetur x. Praterea puncto N
  37. existente rertice, linea IN esse deber am:
  38. 23 hoc CA, =, in hoc
  39. exemplo. Terminus denique, qui explicar latus rectum, erit --
  40. iden
  41. eate
  42. d,
  43. juSad
  44. Del
  45. CIC
  46. D
  47. L 1I
  48. ominohal
  49. nustermir
  50. Zutemnol
  51. Habeatur
  52. e supponau

Cite

[Ps. 1], fol. 120. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0142?run=74