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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 315v

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. 316r); this page is its left half.

The machine reads it as

  1. lolo ordinitae
  2. et
  3. AB7b.
  4. CD7X
  5. ACY
  6. EFpXdi AEp ethax FX
  7. Eyo BE a braX
  8. addantur BEb 2b S rax K +2aX - X
  9. EF se o dX id.
  10. fier 1 4 2b fran +2aX (= X + X) +2dX + d
  11. H Z vadrato a BF
  12. sojamat alius arcujus, s Ntameter HRre bu radus C et BGe f e
  13. hovum auferatur inde
  14. BG vel L , Fr Freg - x - 2gx -g - f. crdius quadrato nt:
  15. Frex +reg -X- 2gr 9 (FX 2dx +
  16. Horenavem. Hinc daci
  17. 2b Trax. Y + 2f-X ex +reg
  18. b Srax. X +2f f. ali +hq et quadrando.
  19. Abrak 4 bX + asihus f Ax- LX -hg X + rahgs X
  20. +4) 20. = 4 f1.
  21. + afrG
  22. -gr. Lrag..
  23. -2a. + 2ah.
  24. et ordenando: sed compendiosius formulam C.
  25. ob literarum multitudinem sit enuntimus: divis
  26. fita eumq primum dividemus per b. fei:
  27. 4a)
  28. qb
  29. LX + h du Y Trax.x + 2f S.X xh X +hig
  30. 2a.5+
  31. es rb 2+,
  32. + 2b
  33. et bandiglodipe aquoicalent. n X + nt sia +. PL. X +
  34. m X. +
  35. 1b
  36. L.
  37. in B SraX - X 1+8 S-X + h X + (qb Ubiliberae omnes sun
  38. Nimirum. h + m +2a
  39. fn +9. hph.
  40. Ergo
  41. et g7
  42. g. gu
  43. compendii causa ponatur 2e- 2g⊓ h. et reg- g ponatuo
  44. hg +9.
  45. item f +b7
  46. +g
  47. arbitrariae censeri possunt.
  48. excepta 9. ete
  49. ebn
  50. hg. +g5 4b sive +2mgs + rag +9,
  51. 9b +f Vp + 2b n. sive fp + 2b+ b - 9b
  52. +2m.. + Eam
  53. tmu
  54. aram +m + qb. sive g + a +m
  55. Bsa
  56. tram +46 sive g p -a fm + sae +ab
  57. Inde patet ipsis b. et a artitarias manere
  58. Jem ergo formulam brachylogicam vidinemus: fiet muplic quadrando utrobius
  59. ev l
  60. qu
  61. po
  62. et ordinando: X + 2mnX + n
  63. +1. 22a
  64. fiei m 7 sib -b-
  65. 1089
  66. onb - H
  67. -2a
  68. a Y2. 9bd t 2agt X
  69. a i trat.
  70. conferatur formitae simili generali:
  71. 7X2) 4SX + +b p 28X X k ovB
  72. n g
  73. qua aequatione reducta habebitur ipsius n valer quado Egevadraticus
  74. e andu de qu snd
  75. a
  76. s
  77. nballe
  78. 12
  79. m X + 2mnX +nH vaXL X =d X + G RX + E d + +XT -h X bX ra bl
  80. 8.
  81. 1b
  82. ur , BL GTAD Ex
  83. 1B. uisum D evanescere
  84. + 2b Sca +. ca x + (2dX +d2)BF. Et ordinando:et pus A
  85. Ot X + tigs
  86. 2a.
  87. + p2
  88. 1
  89. adhuber
  90. aosium inoR
  91. Bagetrum poterat ordinatu
  92. et ollqua quae vntitir u nire a
  93. fiet rex H reg (X
  94. 29X -9
  95. +
  96. it
  97. 20 X + reg
  98. ..
  99. hrgo
  100. +4a.
  101. + s1
  102. + h X + tg X
  103. =rha, . +hqu
  104. +2h9
  105. + chqu
  106. =rahius
  107. Munm satus d.
  108. 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 315v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0630?run=74