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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 106

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. P C E. e
  2. IV. LIdem Sancibus, sic curra A Y Icalis, ut ordinata P Y SIE in.
  3. cer congrmas FM, FZ proporrione media; erit solidum ex spatio astE
  4. circa axem ab roraro Factum aquale solido, quod a spatio AD I circa
  5. aXCM A D ConVerIO PEOCreatuE.
  6. Nam CAMN. N R: : PM. M E:: PM Z MF. M FG: :RZ X
  7. FM. M Fg. unde MN XM F q =NIRKFZ XFM; hoc cA
  8. HLDX HBq = N R X F Y9. Unde liquer Propositum.
  9. V. Simili ratione collisetur, si F Z PONatUF InEeK PM, FL bime
  10. media, Fore summam cuborum ex applicaris (quales u ∞) a curra a p s
  11. ad rectam a 6, xqualem summa cuborum ex explicatis à curra AZI ad
  12. rectam AD. Parique modo se res habebit quoad eaeteras potesta-
  13. tes.
  14. VI. Porro, Cancibus reliquis, sit curra V Z O caliS, uE F X ipsi NP
  15. aeQuetUT; e curra DEL talis, uE HE aequetur ip(i P P; erir spacium
  16. a t 6 qua le spatio D VOB.
  17. Nam estM HI. M R:: M P. PF; adCOGHEMNI X PE LM R
  18. XM P. hOC esHV Z p E = F S X F X. vel rectang. F.I = rectane.
  19. us. Unde liguet Propolirum.
  20. VII. Subnoretur hoc: Si curra A B Cit Parabola, cujus Axis AD,
  21. PATAMETEY R; CriE CuEVa V XO hyperbola, cujus centrum D, AXISDV.
  22. cujusque parameter axi R aequatur (scilicet ob F X9 =- (P M =
  23. PFg ]. F M g =
  24. a L FM9 = =Q FDF g =) DV4 ) DE4).
  25. item spatium a 6 i e erie Rectangulum; quoniam singulx applicat
  26. HE ipsi aquanTuI. C onstat itaque dato spatio hyperboliso DVOB
  27. curram AM Bdari; Sc ricissim. Hoc obiter.
  28. VIII. Adnorari posset etiam omnia simul quadrata ex applicatis
  29. ad rectam a 6 a curra uc. L. aequari rectangulis omnibus ex P F, P X
  30. ad rectam D B applicaris (Peu computaris); eubos ex uE aequari ip(IS
  31. PF GX PX; ac ita POrrO.
  32. IX. Adjunsatur eriam (producta P M Q) LIPONatT L L aqud-
  33. lis ipsP C. _ p P ipsi AQ; spatium a Cd spatio ADL R X
  34. quari.
  35. aTar
  36. 518. 156.
  37. 57.
  38. F18. 256
  39. F18, 156.
  40. FI∞. 257
  41. F18. 257.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 106. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0340?run=74