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De Locis Solidis Secunda Divinatio Geometrica, fol. 91

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: 0.90.

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

The machine reads it as

  1. VARTAR: DISPOSTTIONVM LHHT. LIBER HI.
  2. P R OBL. V.
  3. P lL. AAAVII
  4. Vier duas datas lineas mediam Tlarmonicam as
  5. snare.
  6. InE datae rectae AB, BC, inter quaS OpOrECaC MeaLM HLarmOnICaIM
  7. a invenire.
  8. Concipiantur iplae in directum in A C, quam CIICA tanquam araHL
  9. trum describatur Circulus A D C F, aeque ex B ad circumteren.
  10. riam vlque applicetur BD Circuli radio aequalis, producaturque ad alte
  11. ram peripheria parrem in F. Di.
  12. CO D E esse harmonice medium.
  13. inter datas AB, BC.
  14. Ouum SiE enim BD aequalis ra
  15. dio, aequabitur dimidio Cummx ex
  16. tremarum AB, BC; quare BD
  17. eric media Arichmetica, Si vero ex
  18. B agatur BF ad AC perpendicu-
  19. laris, ipla erit media Ccometrica.
  20. inter ealdem AB, BC. Sed LC-
  21. ctangulum DBF aequale est rectangulo ABC, vel quadrato perpendicu-
  22. laris BF, ersotres BD, BF, B P. erunt in eadem concinua ratione (3C0-
  23. metrica; ac D B est media Arithmetica, de BF Geometrica inter A B,
  24. BC, quare per superius Corollarium mulcipliciter demonstratum certia
  25. BF. erit media Harmonica inter caldem datas AB, BC. Ouod exat Fa-
  26. ciendum.
  27. Aidc Datet, seclansu sub extremis quibulcunque datis requale
  28. Le rcerangulo sub mediis Arichmerica, ae Hlarmonied let Caler
  29. quoniam rectanoulum A B C sub extremis aequale cA rectangulo D B I
  30. sub mediis dict S: quapropter maior extremarum ad mediam Arichmericam
  31. est ve media Harmonica ad minorem extremarum, cd quod in Circulo sic
  32. AB ad BD ve E B ad B C, ob aequalicarem rectangulorum A B C,
  33. DBE.
  34. Horum omnium demonstratio lusgeri de suod lecus.
  35. 2 22
  36. PHOBL.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0283?run=74