Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 60

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: 0.85.

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

The machine reads it as

  1. Bc
  2. VINCENLI VIVIANI PRO LOCIS.
  3. ricali BC canluersint apcala e. L Pate Tau MH
  4. nimum DV, ducatur ad oppotnam seccone rl asus guoa
  5. MUS DR, X per K ad axem VO ordinetur AC.
  6. ad quadratum D K esC ve reCtARGUIUI L. V I aut L. VH.
  7. Producatu CB ad P, aEgue Cx V HIYPCLBOLI V K contingat re
  8. i S, T, R, axi in O, e Sectiom In O.
  9. 30 huius, est ve a fectangulum C D L, Ie H quaetacum C B ad rectangulum
  10. LKS, SCd pErCCALH etC quadracum D I aequale quadrato C B. (Cx
  11. Moduli inveMIIOHC) ergo _ quadratum DR, sive quo SimuI DO, OR,
  12. Propolitiore xrii. ac Detinitione . s lepe ouun L e ex vel.
  13. 2 DV
  14. gonalem D P. in L, e _ rete YS iisdem productis OCCUTTCNS
  15. Cta, quae Poductas latetates CatSCs AL, Col lecet in X, X, dc did
  16. Tam quadeatum A G 2d quadeacum AS, vel quadratum D L ad D R
  17. aequalia Cun FCCCaHS Le vet L_S. ETis igitur addico, vel dem
  18. PIO. Pro Le Co SCCSRK, fer quadratm DO
  19. cum quadrato OO, vel cum OIE, siue rnicum D I aequale rectangito
  20. TRS.
  21. Insuper, Totum quadratum BP, vel C B ad torum X. V CA ( ob similia
  22. 50. primi Triangula PBF, XVF, ) ve quadeatum BF ad EV, vel (ob tangentem
  23. Eyperbolam AR) ve b quadratum D B ad D V, vel ve quadratum LB
  24. Pars quadrati GB, ad quadeatum Z. V ParEeM quadrati ZV, ergo reli
  25. quum. sive rectangulum C. IP ad reliquum, sive ad rectanoulum ZZ Y
  26. est ve pars ad partem, liue ve quadracum YB ad Z.V, vel ve quadratum
  27. DB ad DV, Sed permutando rectangulum C L P aequale est quadraro
  28. DB Cnam rotum C B quadracum equale est quadrato DL, ex Moduli in
  29. ventione, vel duotus DB, BI, demproque communi quadrato IB, re.
  30. manret rectangulum CFP aequale quaarato D B) ergo, ee rectangulum
  31. XZ Y quadrato D V aequale exic: luperius aurem ostentum fuic quadra
  32. tm DK aequale rectangulo TRS; eroo quadeatum D V 2d D X est ve
  33. rectanculum X L Y ad TRS; sed horum racio componitur ex ratione
  34. XZ ad TR, vel MZ ad MR, vel NV ad NO, _ ex ratione Y Y ad
  35. RS, vel HIZ ad TIR, SIvC L V ad LO, acque ex his rationibus N V ad
  36. NO, de L V ad L O cOmpOnitUE quoque ratio rectanguli L V N act
  37. L. ONI, Ct3 Eeutiratum DV adt DK est ve rectanguium L V N ad LOH.
  38. PRO
  39. Duod erar, _C.
  40. LOn1C.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0088?run=74