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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 59

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: 0.88.

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

The machine reads it as

  1. Y E C T. VIF
  2. DR eodem ordine media inter D L, DL, quo FuerAE I F inter DC.
  3. DE; exume currxe E BF, K B K analo∞X, sEU DExpeTHO D R. DR::
  4. DE. DF.
  5. Nam rurtus D S. + D R. =DI.
  6. DL. +DR. XDI.
  7. DO. + DF. +DE (TunE-.:
  8. DF. +DF. + DF.S
  9. Rurlus, pro circulis alixe linex parallelae, vel analoex substicui
  10. possent.
  11. X. Sine denmuo dux lineae quaeris A OBC, FB F; e altera
  12. FB F CIC ad ictas relata, ux duet a utcunque a detignaro puncto D recta
  13. DC, siF perpetuo D F eodem ordine media proportionalis inter DC,
  14. DE; cum adsumatur linca HI P L. linex A C B analopa (seu ralis, ut
  15. per D uccunque ducta DL S, SINEPErDEtO DS, DL. in eadem ratio-
  16. ne) sic denuo linca R B R calis, ut duet a accunque D L, sit perpetuo
  17. DR eodem ordine media inter DL, DI, quo prius D P inter DC,
  18. DE; erir icidem linca F B F linex R ER analoga.
  19. Rurtus enim DS. + DR + DL. C
  20. DL. +D R +
  21. DC, +D F
  22. DF. +DF + DF
  23. Cun
  24. Ec ram primi quâr ulcil
  25. mi quatuor cermini
  26. lune proxortionales.
  27. Unde liguer Propoti.
  28. tum.
  29. ZI. Sit Arichmerice proxortionalium Series A. B. C. D, F. F; in
  30. qua sumpris quibuscunque duobus terminis D, P; sc terminorum à
  31. primo A (exclusire) ad ipsum D numerus, N; _ rerminorum ab A
  32. Ciridem exclusire) ad F, lic numerus M; exit A -: D. A: F::
  33. N. M.
  34. am esto differentia communis, Z. eA ergo D = A = NZ. ec
  35. F = A = MX. quarE A --: D = NX. ∞ A - : B = M Z.
  36. unde A-: D. A - : F 3: (NZ. M X:: ) N. M.
  37. XII. Finc, Si duxe fuerinr ejusmodi series; e in uem que lunat
  38. bini,
  39. nde DR. DR33
  40. DE. L

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0279?run=74