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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 121

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: 0.87.

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

The machine reads it as

  1. E RC Y. ZII.
  2. APDENDTEULA Z:
  3. Pexecedlentia recolcnrhonnulla ridentur clapta; quae Forton ex usu
  4. liradjicere. Demonserationes elicere poterit quispiam eprxmissis; _
  5. Problema I.
  6. porior inde Truetus emierget.
  7. Sic curva quaeris R F:C, cujus axis AD, ec in hoc signatum
  8. punctum A; Curra reperiatur, puta L MB, talis, ut (i ducta urcun-
  9. que recta P F: ML axi A D perpendicularis currari R P. C Secet in F, _
  10. curra L. M B in M: RECNOn COnNeCtaTUT A F, _E CUEYAM L MI B
  11. tangAE reCta T MI; SIE TM ipsI A F parallela.
  12. HIoc ita Aet. Per aliquodeunque punctum R, in aXC AD sumprum
  13. prorendatur recta R Z ad iplam A D perpendicularis; cui occurrat re-
  14. cta P A producta in S; _c in recta F P lummatuE P Y == R S; ita de
  15. termimetur curra OP Y proprietas; cum sic rectansulum ex AR, e
  16. PM xequale spatiO AY Y P (ICU PM-
  17. CurVA L M M B conditionem propolitaI.
  18. (Dat. AYYP
  19. AI2
  20. habebie
  21. Adnotari potest, A Stancibus reliquis, sic curra X X calis, ut cum
  22. hanc secet recta E P in X, SIEP X = AS; erit spatiuM AXXP
  23. aequale rectangulo ex A R, ec curra L. M, seu
  24. Exemp. I.
  25. 2XXI
  26. LM.
  27. Sit AD C circuli quadrans, ex dueta F P ad AD urcunque per-
  28. pendiculari, connexaque DP; delignetur curra A M B calis, ut (I F1g. 18L.
  29. producta recta F P M hanc secet in M; ipsamque canSaL recta MI,
  30. (EM T ad D E parallela. FIOCItA PeraGCtUE. DUCatUE AZ ad DC
  31. Parallela; de huic occurrat producta DE in 5, _ curra A Y Ytalis
  32. lic, ut sihianc secet producta P E in Y, sIE P Y =AS; cum capiatur
  33. PM =
  34. Spat. AYP
  35. D; factum exit.
  36. TTot. Ouod si curra OX X raliS SIE, UFP Z =DS (vel A AC
  37. AD, _ OX X sic hyperbola angulo A DC comprehensa) exit
  38. CUrrA A M X A D = SPAC. AOXP.
  39. F.XEMP.
  40. F18. 180.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 121. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0359?run=74