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Leibniz-Handschriften zur Mathematik LH 35, 5, 19, fol. 2v

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: 0.82.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half.

The machine reads it as

  1. Opus tamen cuntela esse video, nam sequeretur si haberetur
  2. arcus spatius proportionales, haberi posse et ordinatas spatls pro
  3. portionales seu figniae quadraturat
  4. Hac methodo morifice contrahi potest caleulus.
  5. qidianum an hac utile esse possit, ad efficie inveninm
  6. sincidins
  7. Curvas dioptricas: sit curva AC Radius CR C B incidens Refractus SB.
  8. eA
  9. Sinus ronguli imcdentiaeam perpendicularis ad carvum sit PC 9. et
  10. et
  11. sit cq aequ. C Psex puncto Z demittatur perpendicularis QR
  12. in radium _ incidentem RS. et ex puncto p perpendicularispe
  13. in radiuum refractum CB. erit QR sinus anguli incidentiae
  14. et qes sinus anguli refractionis, quorum ratio erit
  15. in nonenutu debet esse data ut a ad b. licet sem per
  16. eadem quicunque demum sumatur radius ipsi
  17. RC parallelus, radio semper refracto
  18. in B. quaeritur quae sit curra quae hoc
  19. praestet. Sit Axis recta AB
  20. parilleta radio transiens per B.
  21. in quem ex ex demi C. demittatur
  22. aps perpendicularis seu ordinata CD aquo y.
  23. C CD. DP: CB.
  24. CD: DB: CB:: PSi SB: BP
  25. ex 13Xoqu Z A 2
  26. au
  27. Adaequ. X. De aeque
  28. Cvel Pergol y
  29. ZR: 5: : a. b. seu dequa P
  30. AD + DP + PB aqu ABaequ. C.
  31. Ergo cD: PS:: : u c- X: SB: a. b. Ergo SB aequ 2. C. X
  32. l
  33. it PS aequ D CD aequ y. BP ro sit Ds aequ p. et APegu xtpaequ
  34. Ergo fiet P B aego C- v. et pB aego C-2eV + aequ. (p3 + 5B
  35. s
  36. S+ 65 HC- ∞
  37. b
  38. compendiosioris calati jam CB aequ 5 +Z. et erego setq aequi
  39. B+ TtSt
  40. rum aelumy+p+b
  41. Unde ex collatione aequatignum 1. et2. poterit tsli v. relicta;
  42. folummodo X. et y. Unde video non esse orpus methodo tangentium
  43. v- 2VX+X
  44. Sed inventa hoc modoa
  45. inversa ad problema hoc sopticum solvendum.
  46. relatione inter X. et V. necesse est inde iterum investigare vel p.
  47. et palorem ipsius hocmodo inventum methodo tangentium
  48. directa, et valorem hunc cemparare priori, qui si coincidit, problematate
  49. habetur, t hoc solutum et expicanda si opus, c. et a ut coincidant
  50. valores. Si vero non possint coincidere galores problema tale fii
  51. empossibile. In aequ. 2. pro, v. substituendo valorem ex aequit
  52. fiei: Ssi +CaX aiqu c+ Sy by cium et uxtex
  53. a
  54. id est eB ago sit DEaequ. q. FHaego b. erit B Hequ SB.
  55. q
  56. c
  57. H aego P. et BG aequ PBBC- g. Ergo vrgo - BG. De C- Bj Xp p
  58. et fier CB aego BH L Constructio ergo haec. Ex puncto figo B educatur BD in
  59. exe sumatur BD. inde erigatur DErequ. a. junctaque EF applicetur FH parabela
  60. qua
  61. Ed, et aqual. B.. Inde ducatur BGetalis qua rtalis, rectas ED. FK
  62. se in C et G, ita ut sicentro B radio S describus arcumCP_ et jungas
  63. axe Montem si p. et jungas BC. sit sinus esticugli epto _ pnm agili 268, a db.
  64. ta
  65. estinationemi sumendi
  66. simm ea
  67. t
  68. en
  69. pro
  70. rada
  71. diculare
  72. num depehem
  73. sut referre.
  74. culculo
  75. _ nin:

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 19, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068037:0004?run=73