Search the Nachlass

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 92

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: 0.74.

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

The machine reads it as

  1. De Sectionibus Conicis.
  2. PR OD. 37
  3. dumantur zurem in diametro verinq; a punctoh aequales re
  4. CX HF VSCd2
  5. 2. aC4; OrdInLEIM- PONANEUE DO, DO; re
  6. Ctx OO OcCurrentes in O O. Adeoq; BISCCANEUEtam DD in
  7. hC ver conttructionem) quam OO (propcer pacallelas)
  8. in n.
  9. Dico rectam DO (a recta Can bilectam in n) Hyperbola
  10. inccripeam esse; hoc est, puncta O O esse in ipla tiyperbola
  11. curra. Ouod hc peobacur.
  12. Ouoniam sune (uE in AnalyA demonstravimuS) HF-
  13. BC
  14. VdZ
  15. oc 3 ha =g+ de
  16. hCSL HD) .- 342
  17. =d +
  18. 00
  19. + VdCd2
  20. ∞3 ha =- Z
  21. 152d2
  22. de
  23. 2 3 ItEM D A C =- h A, + BD)
  24. e
  25. 02 D2 = 2 + dc + 5C 2
  26. et rectangu.
  27. lum DA~Da = 8202 + 58, 2 Y SCd2 27 CN 5Cd2
  28. d
  29. vel C quia 52 F 58 = y
  30. 32 12+ 5E = = 29c~ 5Ed2
  31. d2
  32. : Frit DC C=
  33. pro q ec q in analy E, substicuendo in Syneheli
  34. 5232
  35. 2
  36. =DA = DA.
  37. 3Cd2
  38. Cnempe
  39. 8e
  40. Per 6 02 )
  41. Tum (proxeer similia eriangula ) erie H F. Ha:: DO
  42. DO. hoc CA, = . B: : 312,, s 12. 7d2, =C ~ N2 a2
  43. 6
  44. od2
  45. DO. ejuEq quadearum 3 d223 + AEd2 + 27 d2 V dsEd2 p
  46. 62 1 2
  47. 2 d9 F5c2 , 22CN SCdZ 1 2
  48. 6 12
  49. Eed e cancundem est quadrarum ordinatim- applicatx puN
  50. eoD Nam (propcer Hyverbolam) uc rectangulum HAHa,
  51. ad rectangalum DA = Da; sic Hlaq quadeacum ordinacim- ap-
  52. plicara puneto El, ad quarrum, quod erit quadeacum ordina
  53. cint

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 92. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0176?run=74