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. 70

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. De Sectionibus Conicis.
  2. PROP. 30.
  3. eltg 5. 8: : f. + 4. f =. 1 e - D E ejila; quadracum l’+a + 2fa
  4. DT9.
  5. Tum (oropter Tansenrem) DTg = BOg (nempe aequalia,
  6. sD E puneca coincidanes vel E lecus, illad majus,) hoc ctt,
  7. +2 efa. 1d- a a2 +1a F 2da
  8. 1d - 42
  9. plicando per-
  10. 1d
  11. eF. et (verinqs mulci
  12. S2) eric pe cd s a +Ida = d a t 2fida +
  13. 25d2 a =s 1d - f= d f2 a + f 1a 257da. EF C delecis u
  14. erinqi perdm s a, acg; dividendo per a) eric L ida Fd
  15. 2sid =2f42= Fs at s in 25 d.
  16. Denigs, ponendo D F idem esse punctum, CuE erane(cab
  17. quancicas a - P. D, ade0g; e iplius mulciplicia ida, d a, f a eric
  18. 2s1d in 3fd = s=1 n 25 d. Ec (diridendo per 25) id - d-
  19. Esi fd. (Hoc eAt, HAFA =-DCEF) vel =I nd. 1Ld:: d f. HOC
  20. est, C.Co Ba:: EA. EF. vel (alcernanco) EC FA :: La, EF. 110d
  21. erac inquirendum.
  22. Duod Theoremasic inventum hoc est. Si st Ordina-
  23. tim applicata in elliph E, aeq ab applicationis pun-
  24. eto F ellipleos diameter per propiorem rerticem A
  25. continuetur ad F; Citq3, ut distantia puncti applica-
  26. tionis a Centro B.C, ad diametrum incerceptam P A,
  27. sic reliduum transversae diametriea, ad diamerrum
  28. interceptam continuatam EP: recta at Elliplm in
  29. DUMCTO a CONTINSCE.
  30. Demonstratio (s Opus) insticui poteric repecicis Analy (eos
  31. rettisiis.
  32. Sed _ hinc concludi pocek quod modo aliunde ottensum e-
  33. rac; nemDe quod Recta PIlipsin in diametri verrice contineens diame-
  34. tro conjuearae parallela est eique nunguam occursura. NVAM, CUm ACFC.
  35. LA:: La. F. F s Cpropter coincidenciam punctorum FC)
  36. Prima P. C. nulla sie C sire nullius magnicudinis) quarca P V
  37. vel CF) crit infinica (ex veraris parce lupponatur diameter
  38. Produci, sire per A, Cire per 2, indifferencer enim se Pangens
  39. haber

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0154?run=74