Leibniz Legible

Machine transcription of the Leibniz Nachlass

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. 95

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.

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

The machine reads it as

  1. PROP. 39.
  2. De Sectionibus Comeis.
  3. H, cui ordinarim. appliCetur HO recte CMR OCCUrEENS in MI.
  4. Eric (propier similia eriansula) CN. NB:: CBI. TIH Adeo-
  5. que CNg. NMg : : (1. I::) CH9- 12. HN9-- - c= -
  6. Sed (propcer Hyperbolam) cric HOg-
  7. lCvonendo
  8. nempes = = 1, Id eoq; d - c = 5, _ dF 1 = c 8 5,) FF~O F)C
  9. inuS CAquam AM9. e recta HO minor quam recta H M et
  10. prOPterCa M eric exera Hy PerbOlam. Rccca igIIUE C H M
  11. quancumris producta) Hyperbola nuIngua OcCLCIIC. OuOd
  12. erat primo demonstrandum.
  13. 20. Cum (IC OM (=-HM - 1O)=
  14. Tincq; 5, l,F, quencicares Aabiles, ac c variabilis, et quidem
  15. TANEOmaION QuancO retocius ab eA DuNCtUI H a CCHETO C:
  16. Differencia rectarum s
  17. l hoc eR, recta
  18. rUm HMI, HIO, PerPEEHO MINHIETUE pPOVE C, hoC CA, C H, a1-
  19. SccuC. Nam in majoribus quadraris aqua le aUEMICHCUM (rC-
  20. tenta figurae specie) minorem postulac laceris pruductionem
  21. quam in quadraris minoribus, (Uc nOruI CA.) IdcOq; POVE
  22. Longius abesta centro punctum H, adeogi ca maius cA, (rcli.
  23. quis incerim immutaris) ica semper minuetur () M, disferencia
  24. lacerum V
  25. 13 1
  26. C2 5
  27. l. Ec conlequencer distantia re.
  28. Eta CMMT ab HyperBOIX CurVA AO, continne decrelcits
  29. Ouod erar secundo demonttrandum.
  30. 30. Sit altignaca distancia qua libec quencumris exisua, puia
  31. 2a; Dico Hyperbolam AO rectamq; CM eo produci poste ur
  32. earum distancia minor cracac quam cA asIBNACA 2a. SUIMIAEUT
  33. enim linea recta aligianco minor, puca a cui xgualem esse vo-
  34. lumus rectam OM; _ quaerendum sic punctum H (cui opdi-
  35. macim ponenda sicHO) Ccu lonsicudo rectae C. H. Ouoniam
  36. sicur suxponimus a = ON -- 1 =
  37. cransvonendo)
  38. 12
  39. 52
  40. eite
  41. t a; e (acrinque

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 95. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0179?run=74