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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 197v

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: 0.72.

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. 207r); this page is its left half.

The machine reads it as

  1. Si Radu sit 1s et Poly goni pracedenti vins sit a, lacus lequet
  2. Rg. 2 = 19 u 222 2) - 2a
  3. Dividantur termin omnes per a.
  4. p. 2252,- 242 47 -2
  5. eq a1
  6. 447
  7. Labris
  8. eg2r = e41 = 2 Est Ratio soly gom
  9. R4
  10. quentis adsinus
  11. praecedentis. Eisi
  12. Calio lin
  13. xhahamus si fieri possit; Radicem ex Rq. 3-2.
  14. Radices particudares 2 = R92. multiplicetur per A92.
  15. a Ag2
  16. autest 4 +
  17. an
  18. R4c 2 + = R9cc 2,. (25 = 24
  19. eya a
  20. Aa ce a
  21. 2. -
  22. 14522-24,
  23. nsuaa ostat tame Calculs sibi
  24. 8 -, 5 - 1. , - 4
  25. 10 = 5 = 5
  26. e7
  27. 10dat 8 quid 5. R 4.
  28. -( 22215 - 243) = 19 - - Aq 2
  29. Erit ergo Ratio Radias Quadratae Polygoni sinus
  30. Polygoni praecedentis ad vatus Polygoni sequentis:
  31. R9 27 - R4 a7 - 2,
  32. 2. 2
  33. 22) 2 2) 1q
  34. (Fingamus ipsum 1resse 10 trit: Rq
  35. . et a. esre 5.
  36. 6 145.
  37. Rg. 2+ = R4, 2Y 2Y = 2a) Revocetur ad nemoros 1 r esto 10.
  38. et a. esto 5. et productum debet esse paulo plus quam a seu 5.
  39. R9 (00 -((R2, (200 7200 - 50() 150)39000) 173, 5711)) 27
  40. Rquo 2 = R4c
  41. 200
  42. Rga
  43. 2 2a
  44. 200 200 50 = A4
  45. a elu)
  46. euli
  47. a
  48. 8-4 =1, = 5
  49. 10- 4
  50. 20 (000)
  51. Nitul hic lucii ob multiplicationem per 27. faciendam. Prodit A4, 2- R4 2
  52. Ideo A9242-2a) dividatur ante omnia
  53. (721 - A4 C 2 29 -2a) divictumus per _ R92 spet AquY H
  54. divedam cousper
  55. R49 2.
  56. 4
  57. ac 2du -2a a a
  58. = Bq o 4
  59. PE. 2+ Restabit 2- 24 Hoc scilicet fiet si totum
  60. Rq
  61. (er (492d Rq.
  62. te
  63. pet: Rq a92 (A9) 24
  64. (4 a (43)
  65. - 13
  66. 7 - 4), In quo nilluiri Aq (4 an
  67. 3. 247) pq . 2) - 2a3 = ea, N422- 19 23
  68. = R4, 2 - 24 quae scilicet multiplicata per. A44 2) producunt Latus Tolygoni sequentis.
  69. Namist orm dun p Ag. Nunc tempus est est di di per Aq a.
  70. Habemus (Ba) C Ag2
  71. AV a.
  72. uet 22ctq2 - 4 3. 2, 8
  73. (er (2. 2a = )aa a - 2. Fiet ergo qu -Bq = = 2, (Quod si multiplicetu
  74. a (, 22. a Cantires av) aeres et () a
  75. 44. (29. 29. p9 2 9 - Aq. 7 - 2. vel R4
  76. 1s
  77. Aa
  78. Ra 1+ 0 eg
  79. 10
  80. Jam R427 circiter est paulo plus quam R4. 5 seu quam 5. 8 - 4 - 4 Rq 20
  81. Jam totum hoc R4, 200= etC. seu R4. 27. dividatur per R4a. 2 - 1
  82. seu A45. et procedatur quasi a. esset incognitum, et
  83. proinde non Arithmeticae puiae sed Algebrae methodo.
  84. quc
  85. 2 et.
  86. 2
  87. per R9q 2Y Rg a. seu A4123 Rqqa seu R9q ~ a 2 siet labs so lygoni
  88. = 24a - 2
  89. Ryc 1. + , - 1,,+ a F
  90. R9 16
  91. 120 0b0 1 1200
  92. 1n2 (34
  93. o eosim
  94. ar
  95. 1400
  96. bt
  97. Iq 2
  98. prite
  99. 361q ut
  100. istud 6 est ratio Rad. D. de 5. ad latus
  101. h9 189
  102. A45 ∞. 6
  103. 40,000 = 2, = A4 1600 -2,
  104. R9 16
  105. rig b4
  106. A9 64 p 4 na
  107. dodeagoni, multiplicetur A45.
  108. 14
  109. R916

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 197v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0396?run=44