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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 126r

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: 0.73.

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. 127v); this page is its right half.

The machine reads it as

  1. sit aequactio 3 - _ + aer rio multiplicetur per 3 + C0. fici y - qrY 4 aery
  2. yH = 10 ~ C - 3 s0 de + l
  3. y N 9e.. . fd. .. 2fgde
  4. 2f1 ...
  5. Pe 8 fade ..
  6. ryte
  7. in sde
  8. 4fgde
  9. +61ge
  10. + 12 fg deb
  11. +4f3
  12. Cd pa
  13. ayate
  14. C3y p 3sqdet
  15. 3f lp
  16. 3gales
  17. Sdet
  18. odet
  19. 6 fladeh
  20. Bsgdet
  21. 3fl det
  22. 39 l’ et
  23. 29l
  24. 3fgde ...
  25. +de
  26. +atode
  27. +6650
  28. 12tgdet
  29. + 49 13
  30. 3sl9de
  31. 391fde
  32. rco -aq. +c0aer.
  33. 10
  34. Hos jam valores inserendo in aequatione nostra, destmendarm in irrationalium et aequandim
  35. rationalium Causa habebimus tres aequationes subsidiarias, literas autem ubi
  36. traris, indeterminatus, d. c. f. g. h. l. n. t numero octo, quare ex
  37. his sex: f. g. h. l. m. + possunt sumi quinque pro arbitrio, tantum evitandam
  38. est, cavendum ne , et y coincidant. Quoniam ergo tot sunt arbitrariae,
  39. utile, erit calculi ad contrahendicausa, ut ponamus lr 0.
  40. qui factohas tres aequationes habebimus:
  41. 1) f d’e +459 de a y + yfgdes a f ch r9 deh r3fgd et- 4ea
  42. +aerf, egutea- q sea t, + aerh 10
  43. 2) ge de + 4f9d ea, +3 fydema +f det n det nsydela, 4Fda
  44. targs, agfhta- 1gua 3 +art
  45. 4659de 6f 9 d’e, f d’epa +9 depa +2f9d eha 4359deta, 2459dea
  46. +121f9de
  47. 4fd et
  48. + ar
  49. Ponendo jam etiam p o. tum ex aeq. 3. frex haec:
  50. e6f9de + 3 deha +3 de ta - 297 42
  51. et der 24 ae _= inuex 1. der) +494a e - a rf
  52. 659 +3 ha + 3ta
  53. + artha. -air+
  54. e 4f9a d
  55. 524.
  56. qegt a. aer h p, ex vdis
  57. frd + 4fgac
  58. s3h. dE.
  59. 3fgta.
  60. 3F9tra. Ergo ex primo et scundo valore de, fier.
  61. =ars 6s9 - aertibtq - 29 a
  62. s
  63. 3h
  64. 4f9a2 qae = quorars
  65. 77.
  66. grh... 3tia
  67. 3f gta...
  68. 12fa 6f9 d = a rg 59
  69. 3la .
  70. atha gi:
  71. =2qa afga.
  72. Efgna.
  73. quotae 65g
  74. 3ha V 829ag
  75. = art 6fg
  76. 3s9des
  77. 3flda
  78. 39l’
  79. t9det
  80. soh
  81. fdet
  82. 9det
  83. 6f det
  84. ++45 a d- arus
  85. Eup ex
  86. agiacit
  87. tarest
  88. 92de p
  89. 6. slgdeB
  90. 3f9d et
  91. 3571d eh
  92. a3
  93. 3gldeh
  94. 359deb
  95. fl det
  96. red
  97. Et ruisus conferendo valores de, primum et ultimum fiet:
  98. Quos duos ipsius e valores
  99. inter se aequando habebimus
  100. Compendii autem causa appellando.
  101. Cs. 6sy+ 3ah +3ta aB
  102. 4f9la +g2h +3 fgtap a h
  103. etiam valorem ipsius d
  104. 4fga + f2t + 3fgta ( a57
  105. eritque a Ca5 p 145 lati
  106. qest
  107. dei = arf, a Z, 24 g
  108. vaaet
  109. =art. ha 24 a a
  110. 49 a a 3
  111. -99ta, aZ
  112. + aert 7a 19 a, a h
  113. qugra a 8
  114. qgta, a X
  115. arg, 3a, 24033
  116. frg a fh s
  117. Fr 2 53G
  118. 4f a da, 14 a
  119. A . 190 2 429u. det
  120. qfh a, 3a
  121. q’a, a35
  122. qua a si
  123. a a3G
  124. qug ae a B
  125. qotaat
  126. qua at
  127. 2qg’ a, aB
  128. quyta, at

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 126r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0251?run=74