Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 436

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: 0.81.

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

The machine reads it as

  1. B ROP. CLXI.
  2. ARLTHMETTCA PTOP. CL. XI.
  3. Theorema.
  4. stesata edtumque uacteata Cubi, etc. ad terrem Aqualium,
  5. lationem habebune cognitam. Nempe
  6. AggreSaIa. I
  7. Cubi.
  8. a R F 2 a R f a (a L f 3 ae R 3 a R F a
  9. Dariter, Si series Primanorum augeatur serie Secundanorum; A
  10. Ouadraca
  11. eC.
  12. 2 + 3 = 3AR= 3f a F 5 = 30 AH, a + 3 + 3 F, = 5e AH
  13. MMVIONABM SC FTOL EV M.
  14. Ex pari modo procedendum eric, si exponatur Pories Primanorum (vel criam
  15. Socundanorum, Terrianorum, ec.) aucta serie qualibor alia; ue non SIE ODUS
  16. hisce diurius immorari. In quibus omnibus Consecurio Numerorum, cum in u.
  17. meratoribus cum in Denominacoribus, el ad oculum conspicua. to ur ergo non a
  18. regulas revocatur l. sidendum
  19. e A OP. CL XII.
  20. Corollarium.
  21. Deoque conseilles vel Pgramidoeides Lyperbolicum, ad semissem Cytut
  22. dri vel Prismatis circumscripti, est ut 5 ad 6: ad totum vero, ut 5 ad 22.
  23. Incelliee, si lam transversa diameter, quam diameter intercepta maxima, pona-
  24. cur aequalis lateri recto: secus enim adhibenda erit moderatio.
  25. Nam, si vonatur HyPerbola latus re-
  26. arsionris l’sitst tilsrp Ctum vel R, cranlrerla diameter + = l et
  27. 2p:c
  28. CIAMCTEE INICISSPIA d, erum quadiata Or-
  29. . TD dinacim applicacarum aI F = aL (DerPE.
  30. 35. Con. Sect. ) vel (propter + = 1) al+ d
  31. ater ccitemma D F Lproperea (cum BE L vel R, cerra quan-
  32. Hoo
  33. in
  34. 3.3 Sidtis estas, e mucatilis d quidem alcirudini
  35. oroportionalis, pro qua isiclis Tubllicui po-
  36. p.F it 5.e F) ibea B, S, ecc.) erunt omniuim Ouactrara,
  37. (adeoque et platta Conocicis reti Pyrami.
  38. docidis,) sories intinita Primanorum aucta
  39. serie Sccuneanoru ; BAEa, a R F a, BR F BZ, CR FcF, esc. ulque ad R F R.
  40. Adeoque series illa ad semissem seriei rocidem maximo (R L R = = 2 R =) aequa
  41. liurus (putu aet, A R D. eriG, vE 5 aet 6, per praced. Ft proxterea ad inceeranvil:
  42. lami leriem aqlimu, ut f ae L2. Quoderac proxolicum;
  43. SC FYO Y, YV M
  44. Idem etiam eveniet, E Paltemm sumatur Diamerer intercepca maxima sequalis Dia.
  45. metro tranverlx. Est colliei porerit ex propostione sequente.
  46. =OD CLDLOSIEOR CMIVABIIMLINNIX. SCL.XEPIS IOPi es1
  47. sist suBCi uilsts sCorellariums B ciclis. D. Ses s. IIBB HC) SEPCLIS
  48. CT autem non adsic limitacio prop. praeced. Frit ratio Conveidix vet Pyra-
  49. Dmidocidis ad estindrum vel Prisma circumseripnum utut non eadem quae
  50. illic innuitur, coenita tamen.
  51. AHEILBBC
  52. Cum enim, uccunque, quadialum orcinacim applicata in Fyperbola sie
  53. at + h vel aL. F L, ret F. + ddT; S pro diametris incercepio, d d.
  54. Ec. Ponantur Luecettirea, B, c, Sc. licque omnium maxima D, adeoque quadra.
  55. FDF
  56. tum ordinavit applicaux maxima p = L: FrunE omnia a Y = BY f CF
  57. c (usque, ad D Hd F AD F; e ompia a: L B . P _c. (ad D Y = = A D.
  58. quorum axxrexacum = ADF +3 A D. H ducacur in L, et lactum iid dirida
  59. Eur
  60. Eol
  61. aR 22

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. 436. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0456?run=74