Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 231

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. 1
  2. 1
  3. E F B. T. C A P. IV.
  4. positas syperbolas describi; uc ec, quamvis criangulum B AC
  5. ilolceles non Foret, nec eriam recta B R ex angulari puncto B sed
  6. ubiris in recta A D educta eset, nihilOMINUS CAIeN CUEVSIM AO
  7. Parabolam FOre; at rero nec parametrum priori, nec verricem.
  8. nec diametrum posteriori calu ealdem remanere, quastamen illis
  9. que que calibus determinare Facillimum est.
  10. Ononiam auten circa finem capitis primi monui
  11. mus, curram, juxta deliniciones in principio ejuldemr
  12. capitis propolicas, qualibet efficiente, et quocunque in
  13. tervallo deleripeam, si anculi mobiles inx quales lint ris qui
  14. ad directricem lunc ab eadem parte, IIyperbolam elle,
  15. idque Mechanica guldem in plano delincationi non
  16. inueile judicamus: idcirco id demonstratione jam
  17. comprobandum duximus, limul ostenluri, quo pacto
  18. cadem Methodus ad praedictas Ilyperbolarum deli-
  19. meaciones commode applicetur.
  20. Sit icaque efficiente LC, intervallo AL, de directrice IEL O, an-
  21. Gulis auTeI LAL. XEXL. A inaequalibus, de(CTIDEA CUEVA D AN:
  22. dico eandem curram Hyperbolam esse; ac si duct a d Polo A ad
  23. directricem recla A K, ita ut anguluS L. A R angulOL A (7 29u2-
  24. lis (ic, cenero A _ interrallo A K circulus delcribatur, secans ef-
  25. ficientem in L_ C, ac directricem in R e 1 a, perque puncta Le a auE ean-
  26. dem in R
  27. R, neC nOn per C _ Q ducantur rectae IK, C C, libi mutuO contin-
  28. OccUErenteSIN F, rectas FI, FC ACymptotOS CMlC b.
  29. sens, uti in
  30. Sumpeo enim in curra. puncto uccunque, reluri D, applice calu Hs. V
  31. Cxhibico.
  32. cur tam ancutus mobilis, ut O A D, quam describens, ut OD, in BE vero di-
  33. cacione uriluere, cum per eas descripeum est punctum D. Guo- ctorum
  34. niam igitur aequales sunt anguli AIR, AKL. inter SC =, nCC nOn BIMACOML
  35. limul lumpeiangulo R AC, (quippe tam polterior quam prio- cidane ve-
  36. res ? cum angulo IAI binos rectos consticuun): crune quoque luc lecK in
  37. TIL, 2c C38
  38. anguli AIR seU AIF _ C AL, urpore equalium dimidia, in- O in IVFio
  39. ter le aequales, AC PrOPTerCA 3 reCtX IK F _ A L parallelX ; tangacibi-
  40. ideoque licur LK F recta FO occurrit, ita e cidem F C occur- dem circu-
  41. lum recta,
  42. renE uE IP; in
  43. ooit. d
  44. eaboletocam conlindele cetnucat. Per 3primi. Per 3C hce.
  45. et ab
  46. primi. cin calu tis. IIL, quoniam urerque angulorum AIF et C A L. rectus est, recta
  47. ,a Dalallta tllti

Cite

Ps. 2, fol. 231. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0255?run=74