Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets, fol. 479

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: 0.79.

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

The machine reads it as

  1. 11
  2. a1d
  3. 9IV
  4. o
  5. 1
  6. V
  7. oste ps
  8. ois
  9. es1
  10. eet
  11. DE NI DESCARTES.
  12. Iysiminuenio ~ p Y= X X
  13. F cxX = = b r r ex qua aqua-
  14. D X X
  15. tione facile habetur punctum B per meam Creometriam;
  16. NTam (i a e c sincxquales, sumenda est cantum in axe Y R,
  17. quae siemedia pars dara FL, ec perpendicularis RS, qua
  18. SiE media pars datae F F, ductusque circuluS ex CeNFrO S
  19. per verricem sectionis CF, Secabic parabolam in guae sieo
  20. puncto B; Si aurem a e cnon sineaquales, paulo quidem
  21. prolixior erichac constructio, sed non difficilior. Invenco
  22. aurem puncto B, duco rectam A B, itemque AL ip(IX qua-
  23. lem, ac parallelam axi C Y, estque B L una exdiamerris
  24. ellipseos quasiex, atque linea per eius cenerum D ducta,
  25. perpendicularis linex a D, ac parallela plano sectionis, in
  26. conici superficie verimque cerminata, elc alia diameter
  27. Priori conjusata.
  28. Instieuitur aurem Analysis ad punctum B inveniendum
  29. hoc pacto. Ex daris X a TumpEIS AC, EF, FL, YG, GN
  30. ec NV. B quaeritur a B, icemque B P, cansens parabolam in
  31. B, e facta BII aquali ip(i A B, X axi C Y parallela, inve-
  32. BIEUT AH, Cx A 9, OB e B FI; iremque FI R parallela
  33. tansenti B P; Tremque H M perpendicularis a puncto a
  34. in axem C Y; TLCMqUC M C7 X MI Y; acque ex daris vel
  35. aTumpeiS A C, F F, FY, M Y _ R M, invenitur A K
  36. cuius quadrarum aequari debet quadraris ex L H _C A H;
  37. quia ve angulus a D B, ita eriam a e k rectus eAt. ACque
  38. aequario quae per hanc riam invenieur est hXC
  39. X II X x t CY X = = brY
  40. Fadem plane ratione instiruerur Analysis in hyperbola,
  41. e in ellips; e quamuis aliquanto incricarior ec longior sie
  42. fucura, nececsario camen reduci porerie ad aequarionem.
  43. quae quaruor dimentiones non excedee, aequeidcircoiuxra
  44. meam Creomerriam, per solam regulam ee circinum, in
  45. data conica sectione construerur.

Cite

Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets, fol. 479. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/82327652X:0507?run=74