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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 100r

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. 99v); this page is its right half.

The machine reads it as

  1. +ete est . ot
  2. Bon BC
  3. Ropoptio
  4. autem muneri, 8. 24. 48. 8. quairati a parium Si set f ct unitale miguti; et
  5. numgeri 3.8. 15. 24. 35. 48.63. 80 et quadrati dagupurium quam impiirium eadem unitate minuti.
  6. pro
  7. Natu = + +1. + etc. est 2. Ergo dividendo omnia ser 8,
  8. + = += f += etc est. quae prier est propositionis hujus pars.
  9. 2 48. 80 12
  10. ad aequil. 3
  11. has duas sent
  12. Ergo acitendo utrum haum
  13. Qua est propositionit hujus pars altera.
  14. manigem
  15. orn
  16. mingiet. 38 5
  17. Echotium.
  18. His ita positis puleirat quasdum consonantias libet contemplari
  19. +
  20. oposit
  21. 18 83
  22. B itque 4 +L 2at etc est 2 per pros
  23. 11L+I
  24. etc
  25. 140
  26. cujus Quridratur
  27. Hyperbolaes
  28. inscriptum
  29. pars propositionis ) et 3. patet ex prop praecedenti. Prop. parct 2. ex propleca pars 4 ex coroll. 2. prop. sux erst
  30. Sie ut consensus circuli et Hyperbolae non inclegani clarius appareat, figuram inspociamus
  31. sit Hyperbola centro A. vertice aequilatera cujus centrum A. vertex C. potentia
  32. seu quadratum inscriptum ABCD. crca idem quadratum inscriptum descriptus sit circulus.
  33. pes conelli prop circulus 2D Attoc quadractum sit. erit circulus, fa 5
  34. pe coroll. 2. prop.... et spatium Hyplibelicum Circulo quodam modo
  35. c
  36. 196
  37. ex ultimam 1
  38. etc ppinis circuli
  39. 10 et F-
  40. respondens, CBEHC erit et ete. Qu facile ostendi
  41. potest. Nam si esset quadratum isset ABCD esset Y.
  42. stiam lats eus AB. foret 1. sit Y Ex natura Myper Gatic
  43. u
  44. Hypibolae
  45. AMet AA B. AML rectanus. aequale quadratoC
  46. AB(D ad eoque AH in ML est AB et ML est . seu en
  47. AIL est
  48. AI
  49. AB+ BM
  50. AM
  51. sive ML est AB-, BM s + B )C Rse
  52. 1aA
  53. (per seriem prg regulam inveniendi summas progressionum Geometriam
  54. desrescentium, supre prop. .. quia BH. est minor unitate AB adeoque
  55. fractio, cujus potestates decrescunt) Sma autem omnimm
  56. HL est: sumuri omnimm LB AB fit es tntangulum
  57. AB applicatorum ad BE,, id est essius rectanus. AB in BE de
  58. la
  59. summa omnium BM, seu demto sent dorato Ultimae, BE, adeita
  60. vsa summa omnium BM, seuBE demta scuma omnium Lt BM
  61. 3
  62. iA_
  63. seu demto t BE. etc. id est quin BE. est aeq. AB.
  64. l AB.
  65. fiet
  66. seuma omnium L seu spatium C- a BC, usque ad E H, seu
  67. eC
  68. Area tpatii CBEHC, aequalis AB - AB + L AB - 1 AB + 1 AB - E1 1B
  69. es aa
  70. sive
  71. sac
  72. sive, quia posmimus Ab esse L ideo
  73. et srea spati C Bede
  74. ea

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 100r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0199?run=39