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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 119

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. 8.
  2. ECet
  3. exit
  4. (I.
  5. de
  6. HY
  7. adu
  8. t. 1.
  9. Si d DunetO F in axe Am coni recti A B Cp recta intinita F C
  10. cranleat per coni supersiciem, _ quiescente termino F circumteratur 51s, 178,
  11. recta F. C donec redeat ad locum à quo capie moveri, ita ut semper
  12. aliqua pars ejus secet coni superficiem (puta per. FI, perbolam C F D et
  13. rectas DA A C in superticie coni (IcaS) solidum comprehensum à super-
  14. ficie vel superficiebus geniris a linea FC sic mota de a portione superfi-
  15. siei ejuldem coni terminatx a linea vel lineis C FD, D A, A C quas
  16. recta F C circumlata deseribit in superficie conica, eric equale Ppr-
  17. midi cujus altiendo est ae qualis perpendionlari F n a puncto F. ad latus
  18. Coni deduetx basis vero aequalis eidem superficiei conica terminata à
  19. linea vel lineis CE D, D A, A C generaris a moru lincx P C.
  20. Solidum enim P C F, D A C constat ex insinitis prramidibus F. C o A
  21. E00 A, dc. requialtis perpendiculari Pn quarum bases omnes
  22. simul Cumpex, extrauriun supersiciem conicam C FD, D A, A C.
  23. Prop. 2
  24. Datus sit Comus rectus AB C p secetur à plano C F D axi A m P2. ( 18. 278,
  25. rallelo ducantur rectae AC, A D a vertice con ad lineam hyperbolicam
  26. C FD, _ super triangulo A C. D erisatuE prramis F A C D habens
  27. verricem F. in axe coni; Cirque P. S Plano A C. D perpendicularis, e
  28. Fn lateri coni.
  29. Dico, superficies conica terminata à linea hyperbolica C F D e re-
  30. EtisD A, AC ita se habet ad A C D basem prramidis F AC D uE
  31. altiendo F. S prramidis E R C D ad perpendiculum F n. Ouoniam
  32. enim Conici AC FD, F C P D habent rertices A d F in plano bali
  33. CF D (quXe est vuerique COnicO COmunIS) Parallelo erDO TunE X-
  34. quales. Si eroo a Tolido quod componitur a conico AOFD addito
  35. prramide EC AD anferatur conicuS F C F D reliquum erit Polidum:
  36. L C F D AC quale in proxolirione prima de scribitur motu rectae F C
  37. xqualeprramidi E A C. D. Ouoniam vero aequalium prramidum re
  38. ciprocx lunebases alciendinibus; ve alcirudo ES prramidis F AC D
  39. ad perpendiculum Pn ita erie superficios oonica terminata a linea hy-
  40. perbolica C FD e rectis D A, A C ad Triangulu A C D. 9. P. D.
  41. er

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 119. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0357?run=74