Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, 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: 0.90.

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

The machine reads it as

  1. 89
  2. EOrUMI, datuSS CnEq; dati anouli TL HI, TL M, e LT, dictanrio
  3. oculi ab imagine prima; in criangulo igitur rectangulo L. IW, da-
  4. tis, angelo IL. N; e lacere IL, dacur _ lacus IN; eodemque mO-
  5. doreperitur TM: daca igicur vilibilis imagine, M N; OpC quoF-
  6. cunque lencium, vel speculorum, projecta: e daris, lenrium, vel
  7. speculorum, ec imaginum, a Ce invicem, diltanciis; inventatur, vi-
  8. libilis angulus vilorius, ex vercice suae incidentixe per Prop. 53 hu-
  9. jus: Quod erat Faciendum.
  10. Expediriuscamen; ue YD ad IL, ita cangens anguli M L. I, ad
  11. cangencem ansuli M DI, Peu BD V: Cmilicer quoque reperieUE
  12. VDB; dacisicaq:e lenrium, vel speculorum, ec imoginum à Pe in-
  13. vicem distantiis, e anculo visorioimasinis, ex verrice sux inci-
  14. dencix, AD B; eodem modo procedendum uc in solutione Prop.
  15. 53 hujutor
  16. 5. Ltoolema.
  17. Datis; specie ellipseos, uno foco, es positione axeos; dataqe linea axem,
  18. positione datum, secante: ellipsim invexire, cujus circumferentia,
  19. perpendicularis sit livea data.
  20. CTCrecta AB, urrinq; producta; secans axem polcione datum
  21. Fa, in puncto A. Cuque invenienda cllip(IS, Cujus FOcuSF, e
  22. axis in linea FA; racio distantiX FOCOruMI, ad axem ellip(eOS, UF R
  23. adS; ita, ue BA recta, incidens in circumferentiam ellipleos; in
  24. puncto E, Screcta, FM ellipsim tangenci, in puncto C, perpendi-
  25. cularis. Sic uE R ad S, Ita FA, 2d FF3 SICG; anguIUS AFL, aequalis
  26. anoulo FFa; e jungacur recta FL. DicoF, L, puncta, eAe FO-
  27. c05, _ FF, FL, Timul, esse aequales axi ellipseos quaesicae. Delcri-
  28. Praenim cali ellipli, recta BAF dividens angulum L. F P bitariaim,
  29. cric perpendicularis ad concinsencem in puncto F, nempe M F 5
  30. e quoniam anguli L. F. A, A F F sunc xquales; CrIE UT F F, ad FA,
  31. ica F L, 2d L. A; igicurut F F. ad F A, hoc est S ad R, IFA FF, F. L
  32. Cimul

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 89. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0101?run=74