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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 43

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.

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The machine reads it as

  1. in spatis aequalia C F, _ HI, absq; debilicatione: Dico vim il.
  2. lustracionis, vel conslagrari-
  3. onis in C F, ad vim illultraci-
  4. onis, vel consagrationis in
  5. HI, cRe in duplicata rarione
  6. chordx, Cemissis anguli BAC.
  7. ad chordam semittis anguli
  8. D A F. Quocies enim conti-
  9. necur balis coniD AF, in balC
  10. coni B A C, tories eriam con-
  11. cinetur efficacia radiorum co-
  12. ni D AF, in efficacia radio.
  13. rum coni B AC; & codem
  14. modo, quae proporcio est In-
  15. cerbales, cadem est ex inter
  16. vires, conis scilicet in aequa-
  17. lia spacia concregaris; Bales
  18. aurem sune aequales circulis,
  19. quorum radii sunc chordae se-
  20. miangulorum radiolorum, uE
  21. demonctrac Archimedes Lib. I.
  22. de sphae. _ Cplind. Prop. 40. Bales igitur sune in duplicata racionee
  23. earum chordorum; vires ergo. sive in comburendo, sive in illu-
  24. ltrando, tunc in eadem rarione; quod demonstrare oporcuic. F0
  25. dem modo poierir hoc Theorema demonstrari, eriamli lpatin HL I,
  26. CF sime mera puncta.
  27. Corollarium L.
  28. Ex hoc Theoremate lequitur, sicorpus radiolum fuerit in A, 8
  29. ejus radii conoregentur in sparia aequalia HP, G F, eorum vires in
  30. comburendo, vel illustrando, esse in duplicaca rarione praedictarum
  31. chordarum: Diridatur enim corpus eadiolum A, in sua puncta ea-
  32. diancia; quomam icaqi hae sune magnicudines proporcionales; nem-
  33. De quadrarum chordae semissis anguli D A F; quadracum chordx se
  34. mistis anguli B AC; vis in illustrando, vel comburendo unius-
  35. cujucq; puncti corporis rasioli A, in Spacio HI; ec vis in illustran-
  36. do, vel comburendounius cujulque puncti corporis radioliA, in spatio
  37. CF C supponimus enum omnium punclorum conoscadiolosin
  38. 2

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0055?run=74