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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 124

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. a . i cat
  2. Probl. IV.
  3. Sit angulus B D HreCtUS, S BF ad D HI parallela; e asymptotis
  4. DB, D EI per P descripea lit hyperbola F X C; item centro D delerip-
  5. tus sic circulus R Z L; lic denuo curra AM B ralis, ut in hac lumpro
  6. quocunque puncto M, _x per hoctrajectâ recta D M Z, item sumpta
  7. DI = DM; _ ducta IZ ad B P parallelâ, sic sparium hyperbolieum
  8. BF X Laequale duplo circulari sectori Z. DR; currX A M B tansens
  9. ad ML determinetur.
  10. Ducatur D S ad D M perpendicularis; sirque D BX BF = R9:
  11. Aatgue D R. R :: R. P; TUM DR. P:: DM. DT; e connecta
  12. TUE TM; haeC CUIErAM A M BtanSCE.
  13. AAIIOLECFUT CUEVX A MI B hanc esse proprietatatem; ut DI SiC inter
  14. DB, DO (vel D A) eodem ordinc media proportionalis Gcometrice
  15. quo arcus R Z inter o (seu nihilum) _ arcum R L est medius arith.
  16. metice hoc est, (iD IEIt numerus in Perie Geometrise proprtionalium
  17. incipiente d DB, _ terminata in D A; aC0, PL sint Logarichmi
  18. iptarum DB, D A; erit RZ Logarichmus ipsius D I. Vel
  19. rerro (pront vulsares Locarichmi. procedunt, sDI lic numerus in
  20. Terie Geomerrica exorsa à D O. e delinente in D B ac oCIE Locarith-
  21. mus ipsiuSDO, _ arcus L. R iplius DB, erit arcus L. L. Logarichmus
  22. iptius D. I.
  23. Ouod si absolute construatur curra AM B, ejusque tancons Me
  24. chanice deprehendatur, inde patet lpperbolici spatii Cgelismum dari
  25. vel Circuli byperbolismum.
  26. Fujulce spiralis naturam, ac dimentionem (ut _ Spatii BD A di-
  27. mensionem) luculente prolecutus est preclarissimus D. Wallissius, in
  28. Libro de Cyoloide; quaproxter de illa plura reticeo.
  29. Probl. V
  30. I L. DC (rectis D F, DC, _ linea F HO
  31. comprehensa) e data quadam R; curra AM B reveriatur talis, u
  32. si vEcungue a D prOjiCIaTUE reCLADNM, ec D. I ad hanc perpendi
  33. cularis (iF, SC M T Curram LLMB continsAE; (IE DT. D M:: R
  34. dic curra laca in LXDB; iuplasui olC
  35. rect.
  36. 2
  37. E18, 287.
  38. FrB. 168.
  39. Sir spatium quo

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0366?run=74