Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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: 0.92.

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

The machine reads it as

  1. L. F C F.
  2. CNo, angulo CNP aequari. 22. Accepro quovis in NM puncto
  3. (puTa M) centrO C per M describatur circulus M O HI; item centro
  4. F DeF M describatur circulUS M R EI, qui prIOrEM MOHI sCCCE
  5. in HI; eric HIN a reRexus iplius MNP. Fitenim connexIS CM,
  6. CHI. _ NM, NIHI, ex constructione liguet rriangula CM N, C HN,
  7. invicem aequilatera tore; proindeque angulos C N M, CNH (d
  8. inde reliquos M N R, HIN R) aquari 3. procensâ C NR, à quovis
  9. in MH puncto, puta M ducatur MC ad C R perpendicularis, e
  10. in hrac producta lumatur (HI = GM; erit conjuneta LIN iterum
  11. reAexuS. Nam connexis N HI, N M pater angulos GNIM, CNTH
  12. aquari. verum hi modi sufticinnt huic conficiendo pertacili negorio.
  13. IV. Nocetur. Si Fuerit FINP retlexus ipsuS M N P ForC N =
  14. N. d.0
  15. V. Dispiciamus jam primo quid ex hujusmodi reRectione contingat
  16. puncto ab infinita quo ad sensum distancia radianti, seu parallelos
  17. projicienti radios. quorsum, per circuli refectentis centrum C
  18. protendatur indefinite recta A B C (hoc autem in sequentibus crirandae
  19. repecirioni perpecuo factum intelligatur; quin ejusmodi recta nomi-
  20. neturaxis; hic speculi, postea Diaphani) bilecetur autem semidiame
  21. ter C B in Z; _ per L transeat recta Z Y ad C B perpendicularis.
  22. indetiniteque prorensa; cum quilibet incidat axi parallelus radius
  23. H. N P adN: (conrexo circuli nil retert, un cavo; nam in utroque
  24. casu reflexus quoad directionem idem erit; vel ejus qui in hoc, iste qui
  25. in illo producrus erit) connexâque C W iplam Z Y intersecer in V.
  26. Earque C:K =CV; ducaturgue NYR; crit N R ipsiuS M N reAtex.
  27. us (vel reflexi produerus). Nam ducacur NO ad C B perpendicu-
  28. laris, e connectatur C P. eAtque C. Z. CR .: CC L. CV::
  29. CO. CN. quapropter anrecedenres duplicando CN, CR::
  30. PN. CN. item angulus R C es aequatur alterno CN P. croorri
  31. anoula CKN, VIC P Similia TunE: adeoque R H = KC. ipitur e
  32. suxra generatim octensis patet Fore RAI, iptius M N reHexu.
  33. VI. Tlinc particularis emereir methodus hujusmodi quorcunque
  34. reteros quari expeditissime designandi; quin e iplorum erga sc ra-
  35. ciones ac respectus; nec non pleraque primaria sympromasa Facile
  36. dilucescune; corollariis nempe lubjecris comprehensa
  37. VII. Y. Pares punecum Z, Semidiamerrum C D bilecans, ette
  38. metam
  39. fig. 64

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/797435492:0080?run=74