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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 15

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. 5
  2. punctum I, linca PT, cangens Lsyperbolam PL. X in puncto I, &
  3. a puncto I ducatur linex I T pervendicularis, TM, ericq; F I M an-
  4. oulus incidenta, cur hiac aequalis ex. foco ellipleos D, anoulus
  5. ODF, _ ducta recta B C, axi A C aequili; ex praecedente cOr-
  6. rolario evidens est, angulum C BD esse aequalem angulo retracti-
  7. onis IZ, comperencem angulo incidentia C:D L, seu F IM:
  8. Aac icaq; IO aequalis rectae lH, _ jungatur OHI; cricque FO
  9. aequalis axi, hyperbola NP, _ I Y dividens angulum IIIO bita-
  10. riam, est perpendicularis ad OHI; led e perpendicularis est ad
  11. TM; isicur IM, OH, Cune parallela, _ angulus P. I M ae qualis
  12. angulo LOH: sed FIM, est aequalis anguloCi D F, igicur e lO
  13. H eidem CD F est aequalis. In criangulis igitur F OHI, BDO
  14. duo lacera HF, FO sune provorrionalia, duobus lareribus GB,
  15. BD, ec ariculus HIOE, aequalis angulo CDB, ergo _ angulus
  16. GBD, eAt aequalis angulo EI F O, hoc est angulus OTL, aequalis 6. 6.
  17. anouloO FH, Parallelaigicur lune IZ, ec F H, quod erat demon.
  18. Arandum.
  19. Scholium.
  20. Pocerat eriam de hyperbola densicaris per experientiam primo
  21. inveniri, d ellipis demonstrarione Geometrica ex en deduci;
  22. NNos aucem, hixec scriplimus eadem Mechodo, qua a nobis reperta
  23. TunE.
  24. Aeque hisce de suxerticiebus, quae Resractiones meciuncur per
  25. analogiam claristine Monstratis, per experiencias Armirer proba-
  26. eis, e per demonstrationem Geomerricam solide contirmatis;
  27. Reltac nine uc Machinss Opticas, ance per approximationem,
  28. nunc Geomerrice demonstremus. Ouoniam vero, hactenus de
  29. Superticiebus retractionum cancum, loquuri sumus; opOrcOL ue
  30. Eliquoe Lemmaca praemitcamus, quorum ope a superticiebus ad
  31. Tolida, (qualia nimirum sunc omnia MactiinumenCa oprica) liCeaE
  32. Progredi.
  33. AP. 3.5T.
  34. AP. 3. 48.

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 15. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0027?run=74