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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. 331

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: 0.82.

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

The machine reads it as

  1. PFOF
  2. XLX
  3. O N LC +S
  4. le mutuo bilecant in communi centro C;) punctaque A a vel a d
  5. conjusatos vercices (in Conjugatis quIPPE aIAMCLLIS ECDCKIOS) appel
  6. lanuS.
  7. rum haec melius torcalle pepe quu detp de H PetBOA OpPOHLIS
  8. Conjusatis CICLII CFIE.
  9. enim elt uctum dicatus,) Diametrum crantrerlam communem esse, et quidem
  10. Latera recta aequalia, (vel, si maris, idem; nos enim de lateris recti licu nullam
  11. prorlus considelaem habemus, Led Tolmodo dle iptius magnicudine, neque
  12. enim omnino retert ret uo, vel a o setibatur aut seribi incelligatur,) e
  13. quidem ealdem Ordinatim applicatas; Diametros interceptas vero oppolicas ha
  14. DenE, quae quidem L AGUanEUE SIAMCETO- ErANSVeNCX.
  15. Ellipsin aurem binis Diamecris Conjugatis, carumque quatuor verricibus sic in-
  16. Structam, Postumus quidem quati pro quatuor sive Flliplibus sive Sectionibus ha-
  17. bere, quaru quaelive es habe retacu aque Diametrum, eique Ordina
  18. rim applicatas de Lacus rectum. Duarum quidlem quatuior, BINaS aLL d da O.
  19. positas dicas, (ut _ A e a, d dt L,) GIaLH HCIMDC verrices sune oppoliti; binas
  20. verO a Aa, A a a, vel A42, a 20, (quarum relulles sunt conjusati, uepote in
  21. conpisaris diametris politi,) Conjueatas dicas.
  22. Quamvis enim Sectionum Opposicarum de Conjueatarum domine, LEyperbola ut
  23. plurimu incellisi Toleane: nihil tamen impedit quo minus (uE L PCt DOlaS, IC)
  24. Fllipses poticas et Conjusalas dcalulo. Vet lalem ( Le HOIS P)
  25. FIliplin aleamus Opposito e Conjueato lieu conralant. Ld falcem interest in-
  26. ter quatuor Sectiones Hyperbolicas, corlacigue Pdo, (COZaIIS VraCL
  27. accommottatas,) quod ha quidem (productae) le u Cane, (adeoque L.-
  28. liptis tota dd quemris quatuor vertieum relett Ple) illa aucem non ita. Ve
  29. Incetim notandum est, Oppositarum sire Ellipsech sire Verricum (perinde
  30. EROP. XXX.
  31. De recta Cllipsm Contineente.
  32. Ecta Ellipiin contingens in conjusacalum Diametrorum alteru-
  33. punguam concurret, (ulpore qua spi Patallela est, ut modo osten-
  34. sum crat.) ua velo euipim comcinoit iecia, alibi quam in con-
  35. jusato vertice, cum diametro (producta) concurret quidem. Punctum
  36. autem concursus sic inguiremus.
  37. Supponatur Pangens af, Occurrens ut l, Produclae
  38. diametro F A, cui ordinatim applicata sIE C a. Suppo-
  39. nacur etiam ubiris Ordinacim applicata DO, Tangenti
  40. Occurrens in T. Sicque centrum Ci; ec Oppoliti vertices
  41. A a; quorum supponatur A puncto E propiOr, d re.
  42. mocior.
  43. LErius Vertice, cum reliqua (quancumris utraque produCatuF)
  44. Dicantur autem (ob commodiorem caleutum) =e
  45. a = +, (ideoque F a = + -- d, F.
  46. L. R- d.
  47. 2
  48. ED = a (ideoque L =) = an d A = d = a
  49. Lum (quia quadeata ordinatim applicacarum LUNErC.
  50. : F. ∞9. DOG. AdC Cst, 1a = 42. 10
  51. a=F
  52. Ctangulis sermentorum Diametri trantrerta proxortiona.
  53. C
  54. atndea
  55. lia, uc ostensum est proP. 28.) Crit P. L
  56. + 2 d 2:: et =
  57. e = DOc
  58. CPloPCet Limiia CTIaHEllid) LL. L.. DE. DL. 1OC Cltus F.6.0 =4c
  59. e= DZ, estites Glacabu
  60. Tum

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. 331. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0351?run=74