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De Locis Solidis Secunda Divinatio Geometrica, fol. 89

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: 0.87.

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

The machine reads it as

  1. VARTAR: DISPOSTTTONVM LIMET. LIBER M.
  2. Ouod B F sie media Arichmetica, liguet ex PrOP. XXVII. huiuS: quo
  3. niam DF parallela ad A C ab cd
  4. distat per E D dimidium AC.
  5. Ouod B C in semicirculo sie
  6. media Geometrica, patet ex lexio
  7. EleMeNCOTUM.
  8. Ouod vero BFT Sc Parmonica,
  9. COnStAE Cx PFOP. aXiii. Buius. TUI
  10. Cta enim DC secance BFI in L est
  11. BEI media Harmonica inter IB,
  12. BL, sed IB aequatur BA, quum
  13. siE DE aequalis E A, atque L B
  14. requatur BC, quum sic D L aequalis
  15. FC, ergo _ BE erit media Harmonica incer datas AB, BC.
  16. SC
  17. Enuo manifectum fr tres iplas medias BF, BC, BHI esse inter le in ca-
  18. dem coninua ratione. Nam quadratum DF. ad CB, vel F B ad
  19. BC eAt, ob lemicirculum, ve rectanoulum AF: C ad rectanoulum ABC
  20. verunque verique aequale; sed rectangulum AF C ad A B C eAt, ob Par2-
  21. bolam, re linea D F ad HB, vel ve FB ad BFI; quare quiiI sic quadra
  22. tum peimae FB ad quadratum secundae BC ve prima FB ad IhHI, caedem
  23. B F, BC, B HI crun in concinua ratione Gcometrica. Ouod erat _C.
  24. Superius vero Problema per Locos planos (IC
  25. T F R.
  26. Letbi cddilio L 2d3 ade eca setdit est Uet bbtlict seset PB
  27. sita. etbo utborbo mblto tonne.
  28. Vver toram AC, Hal SCMMCMCMUS ADC, CUIUS CCMTHIM L, MM quo HC
  29. D BD ad A C perpendicularis, de iunsatUF P. D, ad quam ex B de-
  30. mittatur perpendicularis BF. DICOEreS FD, DB, DF eNe guaeITaS.
  31. Est enim Fadius F D dimidium diamerri A C, seu aequalis dimidio Cum-
  32. Ma extremarum AB, BC: quare I D est media Arichmetica inter da
  33. tas AB, BC. BD vero est media Geoinetrica inter easdem, ob semicir-
  34. CuIUI.
  35. M m

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 89. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0281?run=74