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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 305r

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. 306v); this page is its right half.

The machine reads it as

  1. Radius. Seu Lacus Hexagu
  2. sinus Hexagoni L Cd. a.
  3. I. sinus e a
  4. H. radii HaC.
  5. ai
  6. 1
  7. Fulcrum ad = YJ. radi.
  8. 1
  9. 2B. Rad. Rg. C. L. rad- LI. sin, 2 rac.
  10. 2..-
  11. In subsectionibus Polygonorum, haec est regula progressionis. Sumatur duplum Qua
  12. drati Radio duplicetur, quadratum radii a producto subtrahatur Rectangulum
  13. quod semilibram projicit, spatium dimitium percurrat, supposita saluet homogenertat ) factum ex ductu fuleri seu q sadicis ex quadrato Radii demto quadtato sinus Polugoni
  14. produdi Residui radio L.
  15. praecedentis in Radium duplicatum
  16. Hinc patet latus sequens esse semper majus dimidio
  17. 4
  18. ne
  19. C
  20. ne
  21. Si cgjungantur huc duo: scientia grogressionum, et motus seu ea quae alibius dixiderave tentandi
  22. seu per motum extibem cundi per
  23. t geometria
  24. es catus postisiles donec eveniat datus, ar inquam, agenio pusu
  25. r.
  26. 542.
  27. sa
  28. Hae
  29. 1 a 23 = Ida
  30. 13+ a 1
  31. 4ua 11212 a
  32. 19 - a2 (Ag 243
  33. 143
  34. 115
  35. 13 + a = q 23 - 1 22a
  36. utus
  37. ca + 4
  38. e
  39. e
  40. 24
  41. E racii= . sinus = H. fuleri. ad
  42. -
  43. 24
  44. 9c 1=a
  45. sinus sagittaCulium Radius. Flacru
  46. seu = Y,4
  47. Radius, = r, quad.
  48. seu 1. = A43
  49. P. sing.
  50. Rq12- a
  51. 1. sagittae db. + sings c d = (. lateris
  52. , sagiltae db. _1, Radius ,, - 1, 4. rad G. tinus
  53. +ta
  54. +Y, g. rad. - g. sin
  55. + Y, q. rad. = q. sin
  56. H. rad 4. rad. + q. sin.
  57. 2.
  58. = v4.
  59. rad.
  60. L. Rad, Er, 4. rad. - 9. sin
  61. + Rao
  62. HRad Futrad = rad quad. s.n.,
  63. eRqD Aad D rad- sin.,
  64. Rad. Rq. C rad- B. sin,
  65. 2
  66. 24. rad + q. sin. -
  67. Rad 2, RgC D rad = G. Sin.
  68. 110 1-91
  69. 2 - A1 12
  70. 9 4
  71. Cui addatur sinus habebis p
  72. D rad- sin teu
  73. E Rad + A sin = 2W RadSim
  74. Diameter multiplicetur per sagittam
  75. a ai prequene
  76. lateris sequentis ~1
  77. 2Rad A Rad. = Rq I rad 1t, q. Sin.
  78. tam.
  79. Sagite
  80. (4) LRad had = RqCH. rac L 1 t. 3, NB.
  81. eq. r - a C2s
  82. H. Lat. odec
  83. Lalusd.idtedgria
  84. Lsagrat
  85. polygoni sequentis correctionem eide sei
  86. praecedentis
  87. 1. lAqque 12 ( 2., L R9 Aa, p A. -
  88. n
  89. it l
  90. radro sutit
  91. seguens semperend: R4+ X f B4. -4d
  92. eteri n a,
  93. pondum est h.l o. 4- E A. n. 1 A2. 2 . Ag
  94. inveniemus: Radus supponatur 1. Latus prrecedem q
  95. dmplicatum subtrahatur a . productm
  96. 1a. subtra hatur a 2. Cx din b9. ex lalus quafitu ted opus
  97. crre
  98. Hq. 44. - 4 a
  99. e
  100. Radiopositor 1. et a. sina lateris prucedentis Latus
  101. Er per subsictipes dato labre praecedente sequensta
  102. rator

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 305r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067993:0611?run=73