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. 44

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: 0.87.

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The machine reads it as

  1. 4.
  2. EtLM L A -
  3. De Sectionibus conieis.
  4. DA HAS, BC AS-
  5. 6SHLA.
  6. Denigi (producta prius diametro DA, extra HIy-
  7. Perbolam, donec OpDosio vel Triangulo vel Cono
  8. occurrat in a, ut habeatur Diameter-transverla A2,)
  9. erir (propeer similia criangula) A2 AS:: Da. DS
  10. di
  11. Aa AB; ideOq; BD HDS (=-DO9) = Da
  12. Aa n AS HBD
  13. A HLAM DA, C quia RCMDCBDK AS =DAKLA
  14. uc dictum est.)
  15. Hoc es. Csubstituris idoneis symbolis, nempe , -
  16. Aa, d-DA, 1Fd = -Va, I=L A, eE h- DO,dOuadra-
  17. cum ordinatim applicata in HyperbolZh2 = ed
  18. 1dt c =
  19. la
  20. =aI= H=Ict d2 (omnes enim hae HOTa-
  21. tiones tantundem valent. ) Et quidem tam separatim
  22. ld =-FD HDB, EC, d-F5 HDB, quam conjunctim Idt
  23. =de- FD KDBFESKDB SDKDB DO9.
  24. Esg. hoc quidem primarium acq; estentiale Hyperbolae Pym
  25. Deoma, un de reliqua dependene omnia e calculo comprobari
  26. Possune. Religuas Hyperbolae affectiones deinceps inveltieabi
  27. mus, uibi ablolucam ipsius cractarionom (line respectu habito
  28. ad Conum) instiruemus.
  29. Acq: tractenus quidem Coni. sectiones vulgo distas, Parnbolams
  30. Elliptum ac9: Hyperbolam, inspecto Cono considerarimus, ue
  31. qua a Cono secto (quod B nomen inmeit) originem craxisle
  32. reputaneur. Adcoq; primaria llarum Cymptomaca ab iplo de-
  33. duxi, quod e de aliis illarum affectionibus fecisse (si id opus
  34. essec) non adeo esset disticile. Coniam autem carum natura
  35. magis ablolura eB, quam nc ad Conum Tolum percincre vide-
  36. antur; priorem concemplationem cousq: prosecucus sum, Uc Q
  37. tenres aperirem unde Veceres doccrinam suam hautisse viden.
  38. eur, _ quibus pastibus ad abulas illas quas exhibene demon-
  39. Araciones aur pervenerime auc Calrem perremisse poruerint; P
  40. essentialia
  41. PROP. 2C

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0128?run=74