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De Locis Solidis Secunda Divinatio Geometrica, fol. 116

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: 0.83.

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

The machine reads it as

  1. 116
  2. Nam primus (7 ad cerrium s. est, uc disserentia incer primum
  3. 17, ec medium inveneum 7 2, quae elt 9 3 ad difterenciam, in-
  4. ter medium inventum 7 2, dc tertiuni 5, quae est 2 8.
  5. Veluri oltendie ordo seguenris regula, 17 2d5, ut 9 2 ad 25:
  6. sive ut 102 ad 30, qui numeri sune sextupli dacorum 17, de 5.
  7. uido oli
  8. isile i
  9. a 1
  10. 20 BCA e
  11. SC IIOL IV M
  12. INCKNTN VIVLANE ADDEN. LIB. III
  13. 2151
  14. In cireulo ADC R AE dIAMeteE A C sC-
  15. eta in B, e in C7; C quibus punctis, in
  16. Pemicirculo superiori, sine applicacae rectae
  17. BD, CETI, quarum gnaquae que sic aequalis
  18. radio ipsius circuli, ec in directum produ-
  19. eta in lemicirculo inferiori Der B L, e
  20. +L
  21. Jam per ProPOsic. 37. Libei certiihuius,
  22. BF est media HarMONICA INFeF PaFTCS A B,
  23. BC; e CL est media harmonica inter par-
  24. LeS AC, CC
  25. Dico, has medias harmonicas BF, CEL esse inter le, UE reclAH
  26. gula ABC, ACFC, sub partibus incesrancibus camdem AC ab ip.
  27. iis mediis divilam.
  28. Ilis datis, e constructis: media harmonica BL. incer Partes AB,
  29. BC inceorantes datam AC ad mediam harmonicam CFL inter Par-
  30. TeS ACF, C C incegrances camdem AC, est. (sumpris aequalibus
  31. alcicudinibus BD, CIL) uc rectangulum _BD ad rectangulum
  32. LGTI; vel (ob circulum) sumpeis aequalibus spaciis, ut rectangu-
  33. Ium ABC ad rectansulum ACFC; sive ut sunc rectangula parcium
  34. inceorantium camdem daram AC. ab ipsis mediis harmonicis diri-
  35. lam. Ou0d eraC demonttrandum.
  36. e ee a

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 116. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0308?run=74