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Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 345

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: 0.79.

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

The machine reads it as

  1. PFOP. XXXVIII. GON L CIES
  2. una recta; acque, illa quidem in C’bilecta; quae isitur cum ad Oppolicas AyDet
  3. bolas cerminetur, erit illarum cransrer la diamerer, ejusque medium punctum C.
  4. carundem CentruM.
  5. Unde etiam liguet, Typerbola Diametros omnes in eodem communi centre
  6. convenire.
  7. morancur; iildem tere verbis etiam Hyperbolae conremiun (Hc non HC, OpUSeq
  8. repetere.
  9. Sed de ea omnia Corollaria (ultimo excepto) quae ad PrOP. 3Y. de Fllips me
  10. ea1. aaaILI.
  11. ffectiones Geometrica. Cchon cisitb.
  12. ciri
  13. DRoblematum eectiones quae de FIips memorantur prop. 32.
  14. exdem tere coridem rerbis etiam typerbolae conremiunt. Nec
  15. Opus CA UL rePetanEUT.
  16. L
  17. ti vsi
  18. d ~BSIBEEISB C. 1(13c1Z
  19. XXRIX. INOM Wduneq SrenitC
  20. e
  21. etio SEbsivO o
  22. 3 quodvis N, eique Orcinatim ponatur NM, Racque t. I.: C N9.
  23. NM9. (hoc eM, ic diameter cransversa, ad lacus rectum; sic qu’a
  24. dratum distantix punctorum CN, ad qua-
  25. dracum rectae NM,) juncta CM crit, il
  26. lius Frperbola Asymptotas empe Lqua
  27. (continuata) TIrperbola (quantumris pro
  28. ductae) miinguam occurreu, ita tamen con-
  29. tinno propius accedet ut dictantia tandein
  30. cractat quavis aenaca mitior. lovi 13 l. L
  31. di
  32. Nam (2 Sumpto (intra Flyperbolam A, 9)
  33. diametri puncto quoris HI cui ordinatim applice
  34. cur TIO, recta, CM OCCuTrenS in MI. RrIt (prOD.
  35. ter Timitia eriansuta) CH. NMC: CFI. HM.
  36. Adeoque CN4 N MQ irdilLs Lii) CH9 =5
  38. propier Etpecbo
  39. De Fyperbolae Asymptotis. sistin
  40. lumatur in Fyperbola diametro (extra centrum C) punctum
  41. leledeta a
  42. agoat emDC
  43. set qpsil sii
  44. Freo HOq minus et quad LM. es recta HO minor tliam Tecta TEX
  45. proplerea M exic exira Fly perbolam. Recta isicur C. M M, (quancumvis, produeta,
  46. lyperbola nunquam occurrit. Ouod erat primo demonstrandum.
  47. 2. Cum sitOM (= H M - HIC
  48. Lucque 5, E, quan.
  49. ticates stabiles, at c rariabilis, de quidem tanco major quanto remorius abest pun-
  50. (2350 = 621∞] 552
  51. 515
  52. dum HI a centro C: Disterentia rectarum V= h V vib hoc ellu rectarum
  53. HM, HO, perpemo minuetur Prout C, hoc cst; C H alscEr. WNamlgH ipsot
  54. bus quacratis aequale augmientum (recenca lisurae Specle ) ihoreni postulat, la-
  55. tetis productionem quam in quadratis minoribus, (uE nocum est.) Fdéotque ptole
  56. lonsius abest a cenero punctum L, adeoque c majus eHt, (reliquis incerim immu.
  57. catis) ica tempex minuetur OM, disterenria lacerum Y = 1, s L. Pt COn.
  58. X X
  59. seguenter
  60. dicl315G obsr
  61. atm.). CC 14 =

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 345. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0365?run=74