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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 215r

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: 0.81.

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. 214v); this page is its right half.

The machine reads it as

  1. ABq BC aqu g
  2. pet X - 5 + bs + et aequ. 0
  3. 2at + a x - yt aequ. 0. fiat X aequ. 1Z + b. et y aaqui B tC
  4. adeoque + rax aqu.
  5. 2a 1Z rua
  6. + a X aqu. 4 x + 24 1 b.
  7. y aqu
  8. +2a 12b
  9. + b
  10. R.. 13 I4CV. 44e
  11. cometria tota constitui potest, sine ulla mentione magnitudinum
  12. seu figurarum similitudine Be situ
  13. rationum atque proporti ma soto cangulotum adhibilis tantum angulis et rectarum
  14. unte linearum intersectionibus seu adhibito tantum situ e motu. Quando autem
  15. magnitudo aut ratio problema inredietur, poterimus in problema ad alios reducere
  16. termines ut non ingrediantur.
  17. leris A ret colculo inventa facilius construantur, utile erit condi theoremata
  18. quaedam apta, ex ut in circulo utilisimum est theorema, quod do
  19. rectangula segnentorum in eo sempero aequalia sunt ita lenui si detur
  20. ratio incognati redae incognitae ad incognitam equalis rationi quantitatis
  21. cognitae ad cogrutam. Eodem modo excogitanda theoremata
  22. ubi cubi rationi rectangulio ad rectangulum aequetur ratior ratio
  23. rectae ad rectam, haec ex. P. Gregorio S. Viacentio polerunt duci.
  24. Nunc obiter istud colligemus: annotabimus
  25. sit circulus AB AEBC, circa diametrum AB. patet esse
  26. ADB caequ. CdE, seu Ae aqu. _eDC.
  27. CBD
  28. Hinc modo ipsarum AD, BD summa cetur locus erit ad circulum datum
  29. et sit Bla 1 X + 2y + 3 (1) 7X + 87 + 9 H Cd cus AB u lot3
  30. aequ
  31. DEp. 4 X + 5.y + 6 - 1 X~-2y + 10 , AD
  32. Sint tres aecuationes: X sit runtus aequatio X + 5y . aqu. 0.
  33. +8
  34. ita ut sit 9+ aequ. CE. Dabebimus moblena solutum.
  35. 298.9
  36. sint aequationes 19 e0 19 X 4 20 y + 21 rqu. 0.
  37. (+
  38. comparando 2. 3
  39. et 31X + 21 + 14XY +15X + 26 Y + 2Y aqu. 0. sit 4) qd 19-7
  40. aequationem t analogiam 1. redueendo ad aquationem fet.
  41. 4, 7 X + 4, 8 Xy _ A
  42. +152 xy 468y
  43. h P X + 12 Xy +ey
  44. +4,9 X vo
  45. +519 V
  46. 2tau
  47. 1 -y
  48. +6,7 X +6, 86 y +6, 9
  49. +13 X +23, Y
  50. =81, 10X 12, 10 y 3, 10
  51. 22 fier. per X aqu. (19, - 7 + 22
  52. (equa 20-8
  53. 6 rq t9
  54. per etfiet aqu 20, 8 - 9 + 23 per 19 fier 2, 1, ae qu 13 3, 8i7. 13 3 i 4
  55. exautt.9 q sit.
  56. + ngX +I,2OXY
  57. = 1 21X
  58. 41 19.. +oy +1,I
  59. .
  60. 4 13, 19X, + 13, 20V 4 13, 2)
  61. per _. fit: 119, (+ 1 + 19, 7 (=7) - 22 aequo ponams P Agu. 5. et fer: 114Z dju 22 (Erx nab, ee uqu. 2
  62. per s. fit: 1, 20 (+ 2) + 20, 8(= 8) = 23 aequ.o ponamus 2 aquo et fiet 12 1 liqu.
  63. per 3X fiti : 12. 19, + 11, 20 (+ 2, 1. 2. + 20,7 (-8, 7 4. 19,. 8(7, 8) - 24 aegulo per
  64. 2 -2
  65. 20
  66. o +se alis pe u dll o rus . res
  67. 19
  68. 1 + F19 +v per ultimot temimos sit aec _3, + 310 + 2.9 + 27 gd 3
  69. + aequ. 19-7
  70. 6 aequ - 21 - 9
  71. 19X + 20y + 21
  72. IX 1 12 y 13
  73. His Missis vie
  74. reg per elegantur
  75. S aequ 20 - 8
  76. absolu
  77. seqventi na
  78. XVIISZ
  79. posto XAV () a. Kjo. AB.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 215r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0429?run=74