Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 84

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: 0.84.

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The machine reads it as

  1. De Sectionibus Conicis.
  2. DROP. 35.
  3. Patet etiam; UeDiameter-tranlverta, ad interc ep-
  4. eam; Eic esebinorum Rectangulorum ca quae diame
  5. eris incerceptis proporcionalia, ad Rectansula earum
  6. quadratis proportionalia. Nempet. d:: ld. = d2.
  7. Etem; TIEDiamerer-transverla, ad Latus rectum;
  8. ita quadrata diametrorum interceptarum, ad Re-
  9. ctansula quadratis illis proxortionalia. Nempe t. 1:
  10. d2. = d2.
  11. Trem, UIF Diameter eran(verta, ad incerceptam; ica
  12. utriutq; aggresatum, ad quartam; quae ducta in La-
  13. tus rectum, Raecangulum etticit aequale quadrato or-
  14. dinatim applicatae. Nempe t. d:: t+ d. d-
  15. FA + d2
  16. +
  17. t
  18. tat de
  19. l= B2- 1d += d2.
  20. Adeoq: CIE Diameter-Fran (versa, ad Lacus-re
  21. ctum; sic Rectangulum sub Diametro. InFerCCPCZ EC
  22. assresato diametrorum trantrerla e intercCPIK, ad
  23. quadratum Ordinatim applicatx. Nempe t. I:: rat
  24. 22
  25. Fdt p
  26. =b2 = Id +, a20
  27. Vel EIE Rectangulum Diamerro intercepta, e 28
  28. resato Diametrorum eranrerlae et interceptae com
  29. prehensum, ad quadratum Ordinatim. applicatxe: SC
  30. esse Diametrum transversam ad Latus rectum. (Un
  31. de Hyperbolae Lacus rectum commode reperitur.)
  32. Nempe, 1d + 42, B2:: F. 1
  33. 1d+a t.
  34. Inde sequitur; Ouadrata Ordinatim- applicatarum.
  35. Roctangulis Diametro intercepra d aferesato dia-
  36. Metrorum eran(versae _ interceptx comprehentis, elle
  37. proponionalis. Sunt enim ubig; ut tad l.
  38. Adeoq: Prout longius a vertice removecur pun
  39. ecum. applicationis, ica semper auxeri Ordinacim- ap.
  40. plicatas
  41. +

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 84. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0168?run=74