Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets, fol. 262

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: 0.93.

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

The machine reads it as

  1. 262
  2. L F TT R FS
  3. NVFI, esead rempusmotus per duas M R, R FI, ve summam
  4. duarum LNT, NHI, ad summam duarum P R, R FI.
  5. Cum isitur Nacura lumen a puncto M versis punctum
  6. II dirigac, debecinueltioari punctum, veN, per quod, per
  7. inRexionem auc refractionem, brenissimo cempore à puncto
  8. Mad punctum EI perueniar. Probabile namque eltnatu-
  9. ram, qux opcraciones luas quam cirissimerreee, ed sponce
  10. collimacuram. Si icaque summa rectarum IN, N II, qua
  11. eltmensuramocus, per inAexam M N II, Scminima quan-
  12. citas, constabit proposicum.
  13. Hloc aurem ex Theoremare Carreliano deduci vera non
  14. Fucaca Creometria starim demonstrabic.
  15. Proponit quippe Carresius, si a punctoM, ducatur radius
  16. MI N, X ab eodem puncto M demitratur perpendicularis
  17. M D, ac aurem ve velocicas major adminorem, ita D N ad
  18. NS; a puncto aucem S excicetur perpendicularis S II, de
  19. jungacur radius N II, lumen a medio raro in punctum N
  20. incidens, retringi in superticie medii densi versiis perpen-
  21. dicularem ad punctum FI. Fluic vero Theoremari Cc0-
  22. merria nostra, re constabie ex sequenti propositione pure
  23. Geomerrica, non retragatur.
  24. Fsto circulus A FT B MI cuins DIaMCTer A NYB, cenerum
  25. ET, in cuius circumterencia sumpeo quonis puncto M, jun-
  26. sacur radius M NV, e demiceatur in Diameerum perpendi
  27. cularis MI D; Derur paricer rario D NF ad NI S, _E SIED NI
  28. major ipsâ N S; a puncto S, excirerur ad Diamerrum per-
  29. pendicularis S II, occurrens circumferentix in puncto FI.
  30. aquo jungatur cenero N radius HIN; Fiat vE D N ad NS.
  31. ica radius M N ad rectam NI; Aio Cummam rectarum IN,
  32. NFI esse minimam, hoc est, s sumatur exempli gracia
  33. quodlibet punctum R, ex parce Semidiamerri NB, ec jun-
  34. BanEUT reCtX MR, R FI, AaE auTeM VE D N adNS, ita M R
  35. 2d R P, Cummam reCtATUM P R _ R FI esse majorem
  36. lumma rectarum I NY _ N II. Ouod re demonstremus,
  37. Aac veradius MI NT ad rectam D N, ita recta R N ad rectam
  38. D, et re D _I ad N S, ita AaEN O AdN V. FxCON
  39. ni

Cite

Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets, fol. 262. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/82327652X:0290?run=74