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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 113r

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. 114v); this page is its right half.

The machine reads it as

  1. cum eo commodius
  2. ut methodo mea uti liceat pro invemendis angulis ex datislateribus
  3. : utile erit invenire redi radii valorem in secuntis scrupulis id
  4. est quot scrupuli secundi circumferentiae componamt radium, ratio inter radium
  5. et peripherium ponatur esse quae 100000 ad 628318. est autem peripheriu
  6. 1296000 secundorum, ergo 129600000000 dividendo per 62831 8. habebitur
  7. esse
  8. radium esse 20627
  9. 93 20b27-
  10. 6. simpurlorum sccundorum, seu 2667etF
  11. 1227
  12. 620381
  13. 1256962
  14. +0b
  15. 12170-. unde audacter poterit radius dici esse 20627 ninto secundo
  16. sit jum arcus quantur cujus tangens sit quarta pars tertia radi. seu quaevitur angulus
  17. 6828
  18. linngulo tnc rectengulo cusus latera. Circa hab rectum habent rationem ut _1 ad 3 quaeritur
  19. angulus quem latus minus subtendit. Posito radio 2. et tangente . erit argu,
  20. - L +
  21. 377
  22. 5,243
  23. 15 + 1 p
  24. . Uguur tantum tribus prioribus terminis, fiet
  25. 405 - 15+1
  26. 291
  27. 25
  28. 1215
  29. 2
  30. Erit ergo carcus quaesitus ad radium
  31. ion
  32. 1290
  33. circiter ut 391 ad 425 1 multiplicetur 206275 per 391. quo ductum dividatur per
  34. 5, 391
  35. 5, 243
  36. 1215
  37. fer 66380 +
  38. fici 1 +
  39. 755 -13
  40. 1251
  41. 742
  42. 1251 11 251
  43. - 13 sec. neglecto -. f quic 5,391. es 1955
  44. 1215
  45. 1251 125 1
  46. 742. sec. Orvidendo 3600
  47. Ergo urus erit 6638 1251
  48. 21600
  49. Jam circm peripheria haber 1296000 semnda. gradus habet 36 c fec nint 60 sec
  50. 2 1000 minul
  51. 260 grad
  52. 60 minum
  53. ergo si dividas numerum secundorum in arcu quaesito inventorum per 3600 numerum secondium
  54. En grada habebitur numerus gradmum
  55. et fier arcu 18. gr. 26. min. 21. sec.
  56. C+ A1. AE aequis erit
  57. 20
  58. e
  59. or
  60. 2e6176+66381+ 18.
  61. 36 6026600
  62. 22O
  63. 15g 2b e
  64. A CE aequ. 11 et EPaqu = )ine
  65. 170
  66. +
  67. ergo spatium Va EPV erit 10= 100 900V 4000 500 0 6000ooo c
  68. 2001
  69. 10-3
  70. 190 19000
  71. 12ovro 120 000
  72. 120,000 3000000
  73. sabuge
  74. et
  75. 605
  76. 27690
  77. o 3.20020 4000
  78. 60-5 155
  79. 3 501 30,
  80. 30. 09000
  81. 103920
  82. 12000000 1000000
  83. 9487171 8vq gradus
  84. 250
  85. 2
  86. 3+
  87. 2663
  88. 250
  89. goo
  90. 1903700+ 20
  91. 1487, 71
  92. 21 435888
  93. -
  94. 871
  95. 000000
  96. 10000000
  97. 94 8 7
  98. e2829
  99. c 512829
  100. 2l
  101. ta223
  102. 624(ca 2580 64000
  103. 256 II 1400042000
  104. uo si inst rao
  105. 00
  106. 1100d
  107. 000
  108. Et
  109. 3
  110. 10
  111. 10
  112. 300
  113. 40000
  114. 190
  115. ee
  116. 60000
  117. ergo
  118. 1
  119. 30
  120. 216
  121. 5 18
  122. 50000
  123. 14 64 1 99.
  124. 64
  125. A2593
  126. 300000
  127. 161051 sunde sol
  128. 2t
  129. cub
  130. 7gu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 113r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067993:0225?run=39