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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 128

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: 0.86.

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

The machine reads it as

  1. L. B C F. ZII.
  2. spiralis, ut pro arbirrio duct a rect a C p Z habeat areus F. L ad rectam
  3. Curationem altienaram (pura R ad 5) Manifeltum est lineam 6Z FI
  4. esse rectam, quoniam FL. (R O). CN (OV):: R. S, perpetuo.
  5. undeerolura B M P fit Parabola; quoniam aXi PartES AP, AD CC
  6. habent ut spatia ROY, KC6, hoc est ut quadrata ex ipsiIs OX, CE.
  7. vel ex ip(IS L Ht, DB.
  8. Corol. Theor. I.
  9. Si adtiguram 6 C erisatur oplindrions alticudinem habens sequa-
  10. lem peripherix inteera circuli, cujus radius C.L; erit ilce cplindrions
  11. aequalis solido, quod PKOCrEntUE EfigurA CCLIR CIrCA AXeM C. R ro
  12. tata.
  13. Theor. II.
  14. Sic CMVa GuXPLaL E L B (cujus axis A D, basIS D B) _ CUrVA
  15. ALLcalis, ut libere ducta rectaZ P M, CIEPZ = V ZAPM; SIE
  16. item alia curra OY Ttalis, ut ad hanc productâ recta Z P M Z,
  17. ad sumpeaque rectâ R, (IEZ P G. R G:: P M. PY; (itque denoD L.
  18. L:: R. VF. _ per F intra ansulum L. D C describatur Epper-
  19. bola F X Z; huic aurem occurrat dueta recta Z HI X ad AD parallela,
  20. exie spatium P DOY aequale spatio Lyperbolico L. LI Si F.
  21. Einc summa omnium
  22. DM 2LEZ EI
  23. PM
  24. RG
  25. TBeOr. TII.
  26. Sit curra quaepiam AMB, cujus axis A D, basiS DB; _ curra
  27. RZ L ealis, ut ad sumpea quadam R, es arbirrarie ductâ recta L P M
  28. ad B D parallela, sIE N AP M. PM:: R. PZ; CrIE spatUM ADLK
  29. aequale rectangulo ex R in 2 N ADB; ve
  30. ADLK
  31. 2 R
  32. = Y ADB.
  33. Exemp. Sit AD B circuli quadrans, erit lumma omnium
  34. ns
  35. V 2 I A X arc. AB.
  36. PN
  37. E18. 298
  38. Lheor. IV.
  39. Sit evera quxepiam A AI B (cujas axis AD, basis DB) Cincque
  40. F18. 195.
  41. Eig. 199.
  42. atbido tullea e dtuus h 2 L Matlalas ClLVe Ln 11L6 Alupco sabp
  43. aM
  44. 219. 200.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 128. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0370?run=74