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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 39

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. -
  2. P C
  3. Hdeducendis e proposica generatione curvarum affectionibus etiam-
  4. Anum progredtimur.
  5. I. Anculi, qui funt ab applicatis es tangentibus ad diversa curvae
  6. puncta, sibimet inaquales sunt; es minores sunt illi qui puncto A (seu
  7. vertici) propiores sunt.
  8. TanGanE ReCtA TMI, ZH; e ad A Y parallelX SINEMP, HC;
  9. dico Fore angulum P M. I minorem angulo ONZ.
  10. Nam producta recta TM occurret ip(I Q N extra curram proi
  11. tractae, puta ad P. Irem ipsa XN secabic applicatam P M exrra FiB. 26.
  12. curram, puta ad HI. Manifectum eAt aurem cum puncta HI, N sinF
  13. ad alias, ac alias ParteS ReEtX M F, reCtAB ME, NTH Pese inter-
  14. lecare inter parallelas P HI, OF; quare major eAt arigulus externuS
  15. QNIX internO OF T, hoc est angulOP MI: Q. L. D.
  16. II. Flinc porismatis loco habetur tangentes se intersesare inter or-
  17. dinatim applicatas per puncta contactuum; velut ad E, inter PM,
  18. ON protensas.
  19. III. Item ancalum. PT ML angulo O X. X majorem esse; (ex
  20. rernum Ccilicer interno.)
  21. IV. Trem pacet vertici propiores applicatas (proindéque rectas
  22. quatris aliis parallela5) curra obliquius incidere quam remoriores.
  23. Caterum ilta jam olim de Sectionibus Conicis oltenderat Apollonins,
  24. ut in edito nuper V Pconicorum libro est ridere
  25. V. In Rigura praecedente (posito applicationis angulum TA Y
  26. rectum esse, vel obcusum) dico curva arcum M N rocta N H, ma-
  27. jorem esse; recta vero M E. minorem..
  28. e ldbe

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 39. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0251?run=74