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. 89

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: 0.85.

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The machine reads it as

  1. PROP. 37.
  2. De Sectionibus Conieis.
  3. e
  4. atq ordinatim. applicatas recte a P hyperbolam in a
  5. concingenci parallelas.
  6. Libet proposicionem (ut prius 24 _3F.) Analycice ex aminau
  7. res deinde et Synchecice demonstrare.
  8. Supponamus isitur rem esse uc perhibetur, adeoq; infcrip-
  9. eam quamlibet OO cangenti at parallelam a recta C a (per
  10. cenerum _ comactum cranseuncC) Bilectam in n. Sincq; re-
  11. aa OD, OD, atI, diameero HA ordinacim applicaTZ, _ prO.
  12. peerca inricem parallela; quibus eriam parallela ducacur nl
  13. eidem diametro inh OCCurrens; quX propterca (propter Pa-
  14. raltelas) bisceabic, (uEOO) in n, sic) DD in h. Denig: recta
  15. OO (producta li opus) diametro HA OcCurraEIM O: OCcUr-
  16. Curam enim omnino esse parec, quoniam a F ipi parallela ei-
  17. dem diametro occurric, per praced.
  18. Supponemus etiam impraelenciarum, occursus punctum C
  19. concingere supra verricem A, exera Hyperbolam. Si aucem le.
  20. cus concinsae, (uei heri porest, E inleripea OO remocius a
  21. cangente lumatur, ita uc diametrum cranteac,) non camen le-
  22. ries operationis variabitur alicer quam vel mucanda aliquando
  23. Tiena t =, vel quancicarem aliquando nesacire interpretan-
  24. dam Fore, adeogi ex parte suppolicioni concruria, incelligen.
  25. dam.
  26. Dicancur aurem (ob commodiorem ca lculum) H a = B,
  27. IA = d, Aa -- 1 Ha (= 1Fd) = 2, HC (= 31 F d) = c, HD = 9.
  28. an - s, aC = - 5, nC (= 0+ 5) - ∞, 20td C.
  29. d2
  30. Tum Cper praccd. ) HC. Ha: : F A. HF. HOC cRC. Z:: d.
  31. =HF. EE Cpropeer parallelas _ Similia criansLla) C8. an
  32. : CH. Hh. hoc eA0. s: : c. = Hh. FCCa Cn:: F0. Hn::
  33. HF. BO. hoc cAs. 7:: B
  34. (= hO= HD)
  35. oeh a (= ,t at
  36. rdZ
  37. tn:
  38. d2. 2d2
  39. c 6c
  40. =HO. ideoq. DO
  41. ac 9. Icem HA (= AR + H B) = at
  42. 2 t - -. Ideoqs DA = dt + 9, e

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 89. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0173?run=74