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De Locis Solidis Secunda Divinatio Geometrica, fol. 32

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. 2
  2. VINCENTA VIVIANL DE LOCIS SOLIDIS
  3. Ouare concauum huius Hyperbolae est Locus propotiae Ordinationis. Ouod
  4. Ct aC _C.
  5. PROPOSTTTO LANALA
  6. Ocus Ordinatarum potentium differentiam inter reu
  7. ctanculum sub data, (5 parte, (5 quadratum par-
  8. tis ejusdem, est Locus planus, nempe concauum peri
  9. Pheriae semicireuli super datam deseripii.
  10. GIT duta AB vicungne secta in C, super quum tiac lemicireulus HC
  11. Dico huius peripieriam elle Locum propoluum: HOC CA OAM.
  12. CD posse difterentiam inter reccangulum
  13. sub data AB in parcem, exempli gratian
  14. BC, e quadratum ciuldem purtis BC.
  15. Manifeste enim id constat, quum re-
  16. clangulum ABC disterac a quacrato BC
  17. per rCCcanguIUM ACB, sive per quadra
  18. tum ordinatae CD in Semicirculo. Ouare
  19. CD porest praedictam differentiam: _ hoc semper REC. Ouare CONCAUWIN
  20. huius semicirculi eA Locus propolicae. Ordinacionis. Ouod exat _c.
  21. PROPOSITIO
  22. Oeus Ordinatarum potentium differentiam inter re.
  23. etanculum sub data in additam ipsa data minorem,
  24. C5 quadratum additae; est LOcus planus, nempe con-
  25. cauum peripheriae semicirculis super rectam aequalem
  26. datae, eique in directum positae, descripii.
  27. IT data AB, e addita BC, minor tamen AB, sumpraque BD ips
  28. AB aequali super iplam BD hiac semicirculus. Dico huius peripheriam
  29. esle Locum propolicum: hoc est ordina-
  30. tam C P porse differentiam inter rectan-
  31. Sulum ABC, ee quadracum BC.
  32. Id pariter per se palet; naI rectan
  33. Sulum ABC aequatur rectangulo DBC,
  34. sed diserentia inter rectangulum DBC,
  35. e quadratum BC est rectangulum BCD.
  36. Tiure quadracum ordinatae C P in semicir-
  37. culo; ergo de disserentia inter rectangulum A B C, de quadratum BC
  38. aeseuo

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0224?run=74