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Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 73r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 72v); this page is its right half.

The machine reads it as

  1. saquens
  2. DZ aequ vc + Z5. ias theorema ectangulam sut si radii paralleli in circulum incdant
  3. rectangulum sub abscissis ab axe circuli divecto et conjugato per radium refractum aequatur
  4. sumimae rectangulorum: abscissae ab axe divec directo in sinum anguli incidentia, et abscillae
  5. ab axe conjugato in ejusdem anguli sinum complementi
  6. Yt , Z ug
  7. Radius qui derectu
  8. cisa ab axe etirecto
  9. 1d ar
  10. centrum circuli transeunti paralletus in circulum incidens retri
  11. los
  12. in centro sibi norma
  13. hissaeab axe conjugato excessum
  14. conjugato
  15. siune insinum complementi. vis
  16. vago _. Iteo abscissab axe conjogatus
  17. d excessumm
  18. gatur, et radius refractus quantum satis utrinque
  19. apabscindere in telligatur
  20. sit H atit - a aloqu. l. b. fietu:
  21. uticet aadbuxhestinscuaabt arqu Z2 a
  22. aa
  23. Vaegu. a vis aequ. stinca aabo) seu Ss vo- rvsraa a
  24. SSvoivstaa ()
  25. 15 e ncessu
  26. ad sinum
  27. cmer
  28. aa apc+S)
  29. deniqu vet vZ aeqey +sZ hacum ago trium aequationum ope
  30. 2hhcc - aab-2hc Shtcc - a abb
  31. corpendit causa vocetur: Trhihea aabb. hc Shhcc Laabt aequ. af.
  32. et et per aequ. 1. et A. feisi X reZe ac aequ a. seu similiter ex 2014, fer vnm osi
  33. nonrus fict aequoa si
  34. pualores autem y ex oltequando set per s dividendo fe aa Bf. ap 2 + seZ
  35. ne tet: 22 2Z ei ec a aas
  36. mise
  37. (.In Sreeraa qer hem aerince aabb
  38. he sa saa bh + h ce
  39. a
  40. pad
  41. cer sinum anguli incidentiae, abscise ab axe directo excessum super
  42. portione
  43. a- ssf
  44. se
  45. 27- 2c2+C
  46. 2af( ~ + a)14
  47. jam habuim
  48. e fiet.
  49. et Z
  50. 22cqtec
  51. 7-20Z. qu. a - aa ande
  52. ettieque comperum qusa restotuarmus
  53. nihil novissed eadem aequatiee
  54. V ae f Mc = Stihic - aabb. Ergo vo aequ 2hhce - a a bb - 2hc Xhh cG aa bb posito bb aego hh laa
  55. S vn af. Ergo ex 5. erit: 22. 2CZ qua
  56. quia habem,s datorem ipsarum V et Z. quaeramus et du et du. Est autem duaego ds-
  57. dos os
  58. et ob aqu. bq aequo Sa voss. + at + Cc fict ( Zet v a + q do sago
  59. ostdv-suvas
  60. Trosstat S vossta
  61. qne cons
  62. e circu
  63. avendien d as ∞ et literae. C

Cite

Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 73r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068531:0145?run=74