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De Locis Solidis Secunda Divinatio Geometrica, fol. 98

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: 0.93.

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

The machine reads it as

  1. VINCEHLII VIVIAMI DE LOCIS SOLIDIS
  2. PROBL. XI.
  3. PROP. ZXRXV.
  4. Utam rectam terminatam AB se dividere, ut quadra-
  5. rum sermenii majoris, sit medium arichmerieum, inter
  6. quadratum minoris, es quadratum torius: vel secare da-
  7. tam AB secundum mediam, e extremam rationem arith.
  8. meticam quadratorum.
  9. per Lem. Y Tridatur data AB in C sic ue rectangulum (vD
  10. AB in BC quadrari segmenri reliqui A C sic
  11. subduplum; ec punctum C Problema POIVeE.
  12. Jam patet, et Facile octendieur ex his duobus leg.
  13. meneis ese majus AC, _ C B minuS.
  14. Insuper summa quadracorum datae AB, Sc segmenLI BC eQUAEUE
  15. b7. Lib. 2. Quadraro segmenti reliqui AC cum duplo rectanguli lub AB, in
  16. BC, vel, ob constructionem, cum quadeaco AC; quare eadem lum-
  17. ma quadrarorum, datx AB, ee segmenei minoris BC aequatUT du-
  18. plo quadraci AC. leomenci majoris ejuldem date; ac ideo heec erin
  19. quadrata AB, AC, C B lunc in concinva ratione arichmetica 3, 2, 1,
  20. sive quadratum A C. legmenti majoris est medium arichmericum,
  21. incer quadrarum AB corius, ec quadrarum C. B legmenci minoris;
  22. sive secta est data AB in C secundum mediam, e extremam eatio.
  23. nem arichmeticam quadracorum. Ouod crat ec.
  24. PROBL. XII.
  25. PROP. XXXXVI.
  26. Aram rectam terminatam AB, sic in duo sermenta inae-
  27. qualia dividere, ut sermentum majus sit medium har-
  28. monicum inter datam, e sermentum minus. Ouod iden est,
  29. ac secare datam secundum mediam, es extremam rationei
  30. harmonisam.
  31. Nempe secare datam sic, ut si ipsa sumatur pro primo termi-
  32. no, sermentum majus pro secundo, e sermentum minus pro
  33. tertio; primus terminus sit ad terrium sive data recta ad
  34. sermentum minus) ut primus excessus ad secundum exces-
  35. sum; sive sit ut excessus, quo data recta superat majus sec.
  36. mentum, ad excessum, quo majus sesmentum superat ses.
  37. mentum minus.
  38. ma praeced.
  39. EteM.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0290?run=74