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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 99

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 E CT. ZI.
  2. E NIO. quare liguent ca, quae Propolica TunE.
  3. Si Circulo substituatur Fllipsis, eadem conclulio valer idem discur-
  4. sus probat; POtica A II Ellipsis parametro.
  5. ZVIII Habeant hyperbola A F. B (cujus axis A Z, parameter AHY)
  6. parabola A F B axin eundem AD, _ balin DB parabola Cupra
  7. D Btota extra hyperbobam cadet, extra vero, ( intra D B protrata. F18. 143.
  8. TUT.
  9. NaM CONEKX Z H occurrat BD in L, ereo D I est parabola pa-
  10. rameter. Ouod li supra B D utcunque ducatur recta F F C+ K ad BD
  11. parallela, secans hyperbolam in F, parabolam in F, rectas AD, Z HI
  12. punctis (3, R, erit EG9-= AGXDIL AOXGR == FC9. Qua-
  13. reFCF FC. Duod (iintra BD, urcunque ducatur recta MNOL
  14. Sccans hyperbolam in AI, Parabolam in M, rectaS AD, Z H in O,
  15. L, Crit AO9 = AOZOLC AOXDI = MOq. ∞ indeNO
  16. E MO. unde constant ea quae propolita lunt.
  17. ZTX. F dictis eliciuntur hx ad Ciromli dimensionem pertinentes reeu-
  18. la. Sit B A E circuli portio, cujus aris AD, batS BF, Sitque C
  19. centrum circuli, e P. H sinus rectus arcus B A B; item, sit AD = L18. 1440
  20. C A; exir 1.
  21. c. - 2, ADXBEE POrE B A F.
  22. 2. FH .)
  23. t 25
  24. BEE arC. BAF.
  25. 3. 3 AD X BF = porE. B AF.
  26. q. F H BFF BarC, BAF.
  27. ZX. Itidem hae deducuntur ad hyperbolae dimensionem (pectantes re-
  28. sula. Sit hyperbola (cujus centrum C) segmentum ADB, habens L18. 145.
  29. axin AD = = C A; S batin. DB;
  30. exit T.
  31. F-f. 25 A D X D B TCBI. ADB. 8
  32. 20 = ADXDBC sCsM. ADB.
  33. XXL. POrYO,

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 99. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0335?run=74