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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 69

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. R E C F. V ITI.
  2. talis; ut a puncto D ducta quaris recta D YHI (guX rectam B R se.
  3. CeE In EI, Curram D Y Z in Y) sic perpetuo subcensa D Y equalis re.
  4. Ax BHI; OPOTTET CUITVX DY X cansentem ad Y rectam determi-
  5. HarC.
  6. CentroD per B ducatur circulus B RS; cui occurrat recta Y F R
  7. ad B R Parallela; _ COnECTaTuED R; eAEque (PFOPEEE ang. DY F
  8. =an9. DHB; CDY = BHI, ACD R = D B) trianguluM RDY
  9. triangulo D B II simile ac aequale; quare R Y. YD:: (D HI. HB)
  10. :: YD. Y F. unde ex pracedenre determinabilis est recta curram
  11. DY X tangens in Z.
  12. XIX. Sine itidem rectae D B, B K positione datX; nec non cuEra
  13. BX X calis, ur a puncto Oprojectâ quacunque recta D Z (quXe re- F18. 53:
  14. ctam B R sCcet in EI, curramque B Z X in X) sIc perpetuo HI X ip(I
  15. BII aequalis; designetur oportet recta curram BM X rangens in X.
  16. Concipiatur curra D Z Y caliS, UE PerpetuO SIEDY = BH (calis
  17. nempe, qualem accisimus in pexecedente) hanc verotansat recta Y I
  18. in Y, ipli B R Occurrens in R; tum asymptoris RB, R Y per X de-
  19. seripta censeatur hyperbola N X N; ad quam uecunque projiciatur re- a) Constr.
  20. eta D N (lineas expolitas secans, ut vides) FAtque jam OM (a) = (B) Convers.
  21. DI
  22. (a
  23. =) ON, erBO hyperbolA NXN CUrVaHI BXX 9. Lect. VY
  24. tansit ad X. Ducatur itaque recta X S hyperbolam N X N concin-
  25. vens, haec iplam curram B X X quoque continget.
  26. Carerum Cacis pro hac vice nusati videmur; cessemus aliguantisper.
  27. l BCF.
  28. 1o

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 69. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0293?run=74