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De Locis Solidis Secunda Divinatio Geometrica, fol. 35

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. ORDTNATARVM POTEHTIVM LIMET. LIS. I.
  2. LEMMA V. PR O P. LIV.
  3. I recta AB secta sit bifariam in C. (9 non bifariam in
  4. D, rectanculum sub inaequalibus sermentis AD B
  5. aequatur quadrato minoris sermenti DB, ona cum du-
  6. plo rectanguli BDC ex eodem minori sermento in
  7. reliquum C. D ex dimidio datae.
  8. Vmatur C E aequalis CD, de eric reliqua F A aequalis DB.
  9. Tari, rectansulu FDB cum qua
  10. drato DB aequale es rectanoulo L BD,
  11. vel rectanoulo ADB, sed F D B aequale
  12. elt duplo rectanguli C D B C quIIm SIt
  13. ID dupla CD) ergo rectangulum ADB
  14. aequatur duplo rectonguli C D B cum
  15. quadrato D B. Ouod cras demonstran.
  16. dum.
  17. A c
  18. PROPOSITTO IV.
  19. Ocus Ordinatarum potentium differentiam inter re-
  20. ctanculum sub inaequalibus parcibus inteerantibus
  21. datae, (5 quadratum minoris seementi, est ad conca-
  22. um semiellipsis prolatae, cuius minor axis sit dimidium
  23. data, in qua est scementum minus, (5 qui sui recti
  24. lateris sit dimidium.
  25. OIT data A B secta bitariam in C, et non bifariam vecunque in D.
  26. L. D PaCCL, quum si AD maior DB, rectangulum AD B maius eNC qua-
  27. draco DB. His poliris: Si circa C B dimidium datae, catquam circa ii
  28. norem arem. describatur Flliplis prolata C. E. B, cuus iple minor adis C B
  29. Cui recti laceris sc dliimidium, aequalis
  30. nempe datae AB. Dico huiuS peri-
  31. Pheriam esse Locum Propolitum: hoc
  32. CA Ordinatam DF Porse difterentiam
  33. incer rectansulum A D B, e quiu
  34. dratum DB:
  35. Es enim, ob Fllipsim, rCCLanSII-
  36. IUm CD B ad quadratum DF, VE
  37. 2Xis cransuersus CB ad suum rectum
  38. BA. vel ve vuum ad duo, erBO rC.
  39. etaH

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 35. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0227?run=74