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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 308r

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: 0.69.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. inscriptia
  2. A latenis polisgoni sequentia. si 1. Ssit radis LCM AZC R ab
  3. 4. Sinus seu semichorda Possponi grae cedentis
  4. 4Y2 28 Rg. IS-a2. C e
  5. vn
  6. Gercharda
  7. Si Latus praecedens nepagone sit, erit latus ejus, 1V. et semichorda
  8. seu sinus L Ergo lateris Polygoni erit:
  9. 22 - 26 R4c ld - 13 5 (- 2 a 3 e t 35
  10. es
  11. o 4 - 13
  12. et 35 aqeot
  13. 22Y =R4 3
  14. rna- A 43C 24 - bq 1249 (
  15. a A
  16. sict dem qaldedetus
  17. 2x pet
  18. 1
  19. e
  20. V 4
  21. 4
  22. u
  23. 23 = R931 Latus decagoni.
  24. t progresjio geastunta, cujus terminus 1m est 1. et seprons ter-
  25. minus quilibet terminus sequens fit Ex praridente foumendo praece.
  26. quarram partem Bti termini praecedentis, cumque sabtrabendo
  27. eunque multiplicaado per quadratum termini primi quater sum
  28. tum Ex Ec facto extmhendo Radicem. Factum subtra
  29. henda a quadrato quagrato termini primi;; a refiduo
  30. extrahendo Radicem quadratam, productum subtra-
  31. 1
  32. sendo a termini primi lto duplicato, a residuo
  33. extrabendo Radicem Itam. Vel brevius: 1t
  34. semiquadratum termini praecedentis subtrahatur a quadrato primi
  35. moducti radix quadrata ducatur in terminum primum duVS.
  36. plicatum. productum subtrahatur a quadrato Termini primi
  37. duplicati. mclesidui Radio quadrata est terminus sequens
  38. Terminus prins est paulo major dimidio praecedentis, videndum
  39. quen
  40. Termins prinus et eius dinidium Ls derminu 2 0sest: 22 s a R4 -
  41. est quanto maru
  42. 23 = a 2ER4(3Y seu 23 - B96. Hoc sultichatir ab L fiet:
  43. Aca , Esea 2d L12 sea 2 12 + (Ho 23- 12 p 21- 6
  44. eo
  45. -
  46. subtrchatur a b ta dimudli termini primi 1I. sict . 13+ 6+ - 2s
  47. 1 165- 03 +
  48. et
  49. 1 465 52 6r-78
  50. 2r - 6 - 1 = 85 - 17 - 67 = 2+ - 65
  51. ut
  52. Radius est
  53. 4 4. 137
  54. zoni et decagoni.
  55. Tener 4. Lalus Horoui est 1. s sinus Polygoni praecedentis a
  56. An sat sinus colygoni ppaecedentis a. Et solugon
  57. sequensis 2 a25 X9 s13 a Latus primum seu
  58. Hexagonum st. S. Ergotul ejus sinus 1s Et tatus dodecagoni:
  59. ob
  60. 2) - 15 243Y
  61. 2Y - 1923
  62. 4 4 dtta numinorum latris Hexa-1. s
  63. 1.
  64. Rg. 3
  65. 2 25 aqu.
  66. C
  67. quod ita reduci po ut sum
  68. 2+9 - p 2 Raq 3. Aq 314 = 13 lit + b. g. 2 = 29 32. b.
  69. G24- qu 2 2 249) es halus colys goni sequentis. cumqu tumum a.
  70. sit.
  71. 2
  72. n
  73. ag
  74. t
  75. 52o aut su nt
  76. ) t L
  77. a
  78. 12 + (
  79. 1eo munctat
  80. Het
  81. auecda
  82. medm
  83. dt
  84. 102 527
  85. 8.
  86. 2
  87. x
  88. ed
  89. 13

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 308r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067993:0617?run=73