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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 112

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: 0.87.

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The machine reads it as

  1. L B C F. XII.
  2. nibus p Y X. p ut Par ), aquatur subdupto spaiii: PL. O.
  3. VII. Omnia quadrata ex rectis u. l. (ad recram ae pe applicais) sequant
  4. C RX C P X P X (hoc est paralle lipipedum Base Rectangnlo AC. PD,
  5. Altitudine C S).
  6. Llujus F.ffari demonstrationem (quanquam resxaesr) cransilio; quo-
  7. niam aliud Schema discursum que pra reliquis plerisque lonsiusculura
  8. expolcir; neque rem ranci video.
  9. NIII. Curra APYtalis sIC, ut FY aequetur ipsI AS; duct a cum rect a ZI
  10. ad AC parallela, erit etiam sparium A C IYY A (hoc eM summa
  11. Tancentium ad arcum AMt pertinentium, Sc ad rectam A C applica-
  12. tarum, una cum rectansulo FC. IX) xquale subduplo spatio hyperbo-
  13. LicOPLOO.
  14. Nam spariumaYu (A) XONatuE rectansulo AC PD: hoc est
  15. roctanonto F C IY (natB est C A. AS :: C F, FM; vel C A FY::
  16. CF. C P. adeoq. C AXCP =FYXCF) item sparium v ant (hoc est omnes
  17. rectae TF ad a c applicacX, quotquor ad arcUM AM PertinenE) (b) X.
  18. quatur spatio A EY; erso spatium A C I Y A aequatur spario a y al H;
  19. tioc est (ut mox octensum) semissi sparii hyperborici P L O..
  20. Alirer illud, (eique connexa) dimensus summ, hoc pramisso Lem-
  21. mate.
  22. IX. Sit LEyperbola aequilatera (axes nempe pares habens) F R R ac
  23. cujus ares C. E.D, C L; ex ad hos ordinatX RI, KD. Sic item curr
  24. F V Ycalis, uc in hyperbola libere sumpro puncto R, ductique recta
  25. RVSad DC paralleta, (InESR, CF, SV concinue proportiona-
  26. les; conmena recta CR, eric Sparium C F YI Sectoris hyperbolier
  27. R C E duplum.
  28. Nam ducatur RT hyperbolam tangens, _ R HI ad C I parallela.
  29. FAtgne CH. CF:: C F. CT. quare C T =SV. vel HF = = RV.
  30. itaque Spacium FD R Y duplum est segmenri F D K. item rectangu-
  31. lam IEDC crianculi C DK duxlum est; erso reliquum spatium
  32. C F X Treligni sectoris F C. K duplum est.
  33. X. Relumpra jam quadrance circulari AC B, SIC CF = C A;
  34. dE aXC A F., parametro eriam A F, descripra sIE LEyperbola FRR;
  35. Dolitoque curram Y Y calen esse, ut ordinata quacunque rectâ
  36. M E Y, Sic F Yransenri A Sxqualis; dueatur recta Y LR (rectam
  37. F18. 167.
  38. Fi8. 1660
  39. (a) 2. Lect
  40. EII
  41. Tell.
  42. FiB. 263.
  43. 20 Fect. XI.
  44. F18. 1C9.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0346?run=74