Leibniz Legible

Machine transcription of the Leibniz Nachlass

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De Locis Solidis Secunda Divinatio Geometrica, fol. 147

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: 0.89.

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

The machine reads it as

  1. ORDTNATIONVM OOMIC. LINITIBVSEIB. L.
  2. Ordination ramorum ex origine C, erieque minor a intetuI L B. L C t. C
  3. erum transuerlam it l, CHque ex D ordinata DC, eric ve G F ad 6B.
  4. ia C F. H ad KB, rel ita YE. aet B N (in similibus exiangulis ad verricet c 36. primi
  5. COniE.
  6. per Lvero circa axem IB describatur Fy perbola FIIL opposica ipsi zimi Id
  7. sDTE; nam sic ipla ITTL datae ABC erie adscripea; quumeue DIF
  8. vna ex ouabus oppositis, alteram ex aliis opposicis D F: F concingat in
  9. duobus punctis B, P, reliquae HITL, ABC, predictis opposicae, nunquam I
  10. punctis, in alio puncto sibi ip(Is nOn OCCUTTeHE B.
  11. clalit a
  12. Flis praemonitis: Dico concauum huius Fyperbolae TIII. esse Limitem Conic.
  13. A B C ducibilium.
  14. Productis enim contingentibus DK, F R, ip(IS Occurrant verricales
  15. fecent in II, L, ee in 2.
  16. Ductiam igitur DK Eyperbolam DF. F coml de Lecans diame.
  17. Ordinationis ramorum ex data origine externa C ad datam Hyperbolam
  18. tansentes ad B, E, in M, H, de i L, S, OppOlITaS VeTO HIL, DTF
  19. ad D e. ia coru Guet dc LL aec ebcum quadracum BH, led etiam
  20. ve quadratum DY ad quadracum DN ita est d pars quadrari TL ad par - d 30, pujus;
  21. teri quadrati BN, nempe ita rectangulum XZ5 ad rectangulum MLII.
  22. erxo, ve idem quadratum D Y ad DN, vel ve quadratum GF ad OB,
  23. ita eric reliquum ad reliquum, nempe quadeatum Z F ad BL, Sed per-
  24. ucando quadratum GF. aequale est e quadrato Z. F. (quum Fyperbola.
  25. DTF ponatur simes Ordinationis ramorum ex C ad Hyperbolam DFF)
  26. er g0 ei quadratum C B quadrato B L. aequale eric: siue ramus minimus
  27. C, B ad datam Fyperbolam A B C requalis lemiordinatae BL. vsque ad
  28. concauum descripei Limitis FIIL.
  29. Insuper sic alius quilibee ramUS C C, d Per C Fic Teniordinata OR LL
  30. mirem lCcanS in R, axem in C.
  31. EB, CC ducti sune ex orixine E7 inter focum, e verricem ipsius D E. L
  32. 70. luius.
  33. ZHE, NIE B) quare re quadeatum C~F ad GB, vel re quadratum DY
  34. Ec quoniam TY est Modulus ex verricali Hyperbolae DF. F, rami vero

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 147. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0175?run=74