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Leibniz-Handschriften zur Mathematik LH 35, 15, 3, fol. 14r

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. 11v); this page is its right half.

The machine reads it as

  1. sit Radius eta 4 Ex notima linculi erit au x xx Agu a A qualio
  2. CF∞X
  3. FK xG
  4. CD xF
  5. HD ∞C
  6. EF ∞d
  7. si xu
  8. Jam Cer x-0
  9. sit HS et HR opendi
  10. intans ad c10 CK
  11. 2 poptar eondem nabivam aa xgurox t00 + imi ida Agcat.
  12. 2
  13. 3 popter triang: himil: CFK, CDN, HSN, int
  14. cubtra. dirit xb tu ixHA
  15. 6E ut CF ad FK nic CD ad E ∞ DH
  16. X y C = Cg ∞DN.
  17. nit CF ad ex tic CD ad asCkZ cub: derit ax- xKN e hinc
  18. X a C ac perd
  19. 65jam F R CX N
  20. y = a ax- at B
  21. 27
  22. dimidia N5∞ ax- at
  23. ex
  24. X tqueatque hinc extremae in
  25. termedia multiplicando obtinets Agnatia
  26. troisertia aux -aat x 2XyE - rtqy
  27. Eadem mathodo progten Ala rimilia C2i, CDM, ARM in veinets
  28. aegnatio ota gaxaro-aut rxut- rout- ituum
  29. Cum aloqjdm Ahum aequationae habeamus dC indeteominatas, polaunt ha omnec re
  30. digi ad inntihibi FFd0 e hinc 3 tallem indeterminatae exictent, iius porio
  31. omnes termini ubio airferants jupta na qua grogosi dixi obtinabils gnatio
  32. de
  33. in quod solae indeterminatae d seu eDd DH exictunt; hocus cum OHG scu
  34. gua ex inflaxonim rodionum indefinitia intersectionibus oritsno explic
  35. bit, dnveni autem sequentem aequationem.
  36. 168 x Vant-16H_ 18 at _- aalt - a +2at
  37. Vude 4 x an= +at +2VC +nall ++ a P +u
  38. At x Yaa- lat- et
  39. a
  40. Corrolaria
  41. Hino facilio descriptio hujus lunva efsicits dato enim
  42. C
  43. quodrante ACDE dascribats haicinculus AGe jam duo
  44. gua cunus D porullela CA secets gare introcepta intem qua
  45. drantam A Samiperich: AGE nimir: GD bifariam
  46. in H erit H punctum aliguod ex infinitae exgribus
  47. ctat reflaxorum cunvo BHE
  48. datit hinc focum unctum conbuctionis esse i diidia Modictata rndisAe
  49. habit etiam inteaam reflaxonum Cuovam BHE Radio AC ed dimidia gorta
  50. e
  51. rodis e sxta corrol: prog: 3 d axir. idum modo relatum)
  52. Patit ouodrantam ACDE eo ad Gpatium D BHE duabus rectia ABC AE d raglex
  53. nunc lunva BHE comprehausum ut 4 ad 3.
  54. Hisce autem ut braviter omnia comprehendam haec praectani
  55. in
  56. e Hactunus caltem mrrecta considanata ubi rodis solaraae imcidentar et curvam quan
  57. dam ereficiam politum d reflaxi cogunts in punctum ubi conburunt; Exo vero
  58. octando qua ratione o solum unicm hoc punctum, sed integro aligua lurna qua ex hisa
  59. raflaxorum rodiorum intersectionibus orits debet concipi.
  60. 2 Ostandi Methodum Generalem qua ratione data quauinus lurua Modo noduna ejus
  61. agnationa aligna poscit apgrimi, omnia ejus guncta refjiciante, ejumodi lriva gua ex.
  62. t

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 3, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068205:0045?run=74