Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 67

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: 0.91.

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

The machine reads it as

  1. VARIAR: DISPOSTTTONYM LIMIT. LIBFR III.
  2. eL0lLL datal
  3. Oeus subtensarum ex eodem termino datae rectae ter-
  4. minatae usque ad normales ordinatas ad datam line-
  5. am, sive ad productam ad partes sumpri termini, es
  6. potentium summam duorum quadratorum, alterum ex
  7. data, alterum ex huius parte assumpia inter propriam
  8. ordinatam, (5 reliquum datae terminum, est ad conca-
  9. num Parabola, cuius axis verrex sit hu idem termin
  10. nus, rectum vero latus sit duplum datae.
  11. O quod necestario constabic, dum ipsus conversum demonstrandum.
  12. Preponaur ve sequicur.
  13. N Parabola. Ouadratum rami ducti ab orreine sut
  14. in termino semirecti lateris ab axis vertice super axem
  15. extensi, aequatur quadrato seomenti axis inter ordinatam
  16. per rami terminum, (5 verticem intercepti, ona cum
  17. guadrato semirecti ejusdem.
  18. SrO rarabola AB, cuius axis B C, vertex B, de lemirectum latuS
  19. LBD, SIEquC ex D ramuS quicunque DA, vel D C ex terminis vero
  20. A. C. sinc ordinatae ad axem AC, C7II. Dico quadrarum D A duobus (-
  21. mul CB, BD, ec quadratum D C duobus siiuL HB, BD aequale cC.
  22. Ponatur primo ramum D A cadere
  23. intra ordinatam F D L. Fixit ergo qua-
  24. dratum leiniordinatae A C aequale a
  25. rectangulo Tub C B in latus rectum,
  26. nempe in duplum iptus BD, hoc eA
  27. duplo rectanculi (ub CB in BD, sed
  28. duplum sub C B in BD aequacur du
  29. plo sub CD in D B cum duplo qua
  30. drari D B, ergo _ quadratum A C
  31. dupso rectanguli sub C Id in D B cum
  32. duplo guadrati DB xquale est, de ad
  33. dico communi quadrato D C, crue duo simul quactad AC, CD, vel
  34. rnicum quadratum rami D A aequale duplo rectansuli C. DB cum duplo
  35. quadrati DB, Se cum quadrato CD, sed duplum rectanguli CDB cum
  36. quddratis BD, DC xqualu nico quactraco C. B, sse0 qadracum 19.
  37. odi vci

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0259?run=74