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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 48

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. L F C F. VI.
  2. linea OOO ralis, ut s E D uccunque ducatur recta DO, secanS
  3. ansuli lacera punctis M, HI, habeat D M ad NO semper eandem
  4. rationem (pura X ad Y) erit etiam linea OOO hyperbola-
  5. Nam ducatur B L ad BC. parallela; CIEque DL. DF: : . X:
  6. Se per F. ducatur F R ad AB parallela; secanS BC in Z; de-
  7. mum per O ducatur OHI ad B A parallela.
  8. EA jam DL. DF:: DM. NO:: LM. CO Cob similia erI
  9. angula DL. M, NCO):: LM ZDH. GO X DH item DL X
  10. HIO = LMXDA (ObDL. LM:: DHI. HO) quareDL. DF::
  11. DE ZHIO. GO RDHhOC CA DEXHO, DEKHIO:: DI. XIIO
  12. COrDH adcog. D E X IIO =G OxDHI. hoc estDE xHIC. LDF K
  13. CO = 6OxDF. . GO X F HI quare (cormuni sublato) est
  14. DEx HO = GO X FHI; seu D F XIIC = GOX ZC. P2-
  15. ret ieaque curram OOO eRe hyperbolam cujus asymprori Z. K
  16. LC.
  17. Coroll, Si rario data (ic requatitatis (CenD M = NO, ) ip(X AB,
  18. C B asymptori erunt.
  19. Sequentia quaedam, quia magis id perspicuum ridetur, AIC
  20. brice monstrabimus.
  21. X. Esto positione data recta ID, in qua punctum designatum D.
  22. Sit irem curra D NT NTcalis ur in ID sumpro quoxiam puncto C, et
  23. ducta recta C N ad polirionem datam lR parallela; cum adsumptis
  24. determinaris rectis m, b; Positisq; DC = x, _CHI = y; CIC
  25. conistunter my J X y = X X 3 erir linea D NN hyperbola; qu
  26. sic decerminatur; TUMaNEEDM, e DO Chinc inde) Pares ipLLm;
  27. _ per M ducacur M L ;ad L K parallela, Factoq; b. m:: m. MC; SIF
  28. MZ = 2 M C
  29. 2m m.
  30. ZM, Z T alymptori.
  31. cum per Z, O traducatur recta ZT; erunc
  32. Ducatux enim Z S ad M O parallela, cui occurrat N O in R (quX
  33. _ ipsa Z T seceEIn P ). _ connectatur D V. Fst ergOP N = H C
  34. + ON - RP. Verum eAM B. M O:: ZR (M C). RP; HOC
  35. M
  36. CA m.::M - X. RP:
  37. MX.
  38. ersoY
  39. nem, MX.
  40. m M m X
  41. m X X.
  42. adeoq; RC = R P
  43. L. y. Unde PN XMC
  44. Verum C ex hypochesi) eAt my
  45. E18. 43
  46. mn
  47. F m y a. X y
  48. 18. 44.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 48. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0260?run=74