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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 55v

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: 0.76.

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. 54r); this page is its left half.

The machine reads it as

  1. GH + BOD in NP + M VOD
  2. A+ O) in L + M YOD.
  3. cooncidentiandu
  4. DE +F 16)) in DE 1O N
  5. R. = AL FBMOD + AMI (0D
  6. productum hoc aeuaendum esset quadruto
  7. ab C+ F+OD, ducto in constantem
  8. Bp
  9. fiet CC AEFOB + ZCF 1ODr sit Le CF a AM+ a BL = astata
  10. la ex
  11. Ero GolAC
  12. rursus coincidunt C CC + eFF OD et a AY A + A MO):
  13. Ergo coincidunt C CCR eCC + ()D Fit eCC - at aAL
  14. vel eCC- a ALFF L. FF
  15. = - 0)
  16. LeFF - a BM
  17. a BM = CFF +
  18. A et L sunt duplices ut et C, sed B, M, F, C3, D. sunt Implice
  19. sint A = FG GH L+ N CD DE.
  20. et Fret C dd 2E - GHNB = -OD. seu 4CsDDCEFF- +eaG F
  21. 2
  22. eFF = a BM
  23. C. FF - a BM
  24. et pro AeCCCFF, vel gee ddEEFF ponendo qu aa qu(AM + AL) = rea qu CGHM + BN p)
  25. et Fiet A FGGHAmm + ABBNN Pp +BFF GHMDXP : - 4Ca G HXPFF
  26. ntaF F = a BM
  27. GHNp +BM OD _ + aG AM YOH ~ e ADEEt C FFOD
  28. aBxp
  29. + 2C DEF 505
  30. An in numeris potisi esse a + 5X a +bX, l+ mX, an potest esse C, C + ex, Ctex
  31. 3 + 5X
  32. hal +ham X Ab m Xx ~ rCc + 2rcex + eexx.
  33. hblX
  34. = rec. tam thorie = rce, seu tihga.
  35. he
  36. un +pxy, oraspyta
  37. conperatur initium pagina primaem a liquis linea separatum
  38. AD +
  39. quaeritur quadratura rationali (dx ((xxtab, Xxtac). sit X=
  40. XX + ab O5+ 24 X2af2 POD
  41. Xx + ab =
  42. OD ab + thab + 2ab F 1O)
  43. OD+ ht + 2t +0
  44. aa
  45. et extab, xxtaC =009
  46. in 8
  47. aubbee Dra abco tadbcti
  48. (DD. anrq abs
  49. Xxtab, Xx1aC =
  50. (Os +
  51. 10D +
  52. fOD + aa 2 2
  53. xx + ac = aC) +aliti
  54. Dyt
  55. 44
  56. Gra) letnq Baubeni aaes
  57. () +
  58. H1OD
  59. EDH(bZL +OD
  60. A4S
  61. biquadrat (O)) + t)
  62. Tentetur an hujus fractionis Numeralii sit extrahibilis
  63. id est identificetur quadato si latere aa OQmD8
  64. (te DX
  65. e
  66. quadlatice A
  67. revia
  68. id vero uisetur uecc
  69. e 2a488 10)
  70. is sum
  71. itaque par rationalis Numerateris identificatur parti rationali quadrati, et pars irrationalis
  72. irrationali. Et cum sufficientes sint arbitraria, neque sit principium unde una assumtarum
  73. simplicium debeat fieri sumi in ratione constanti et alteram; non video quid huic
  74. Talculo opponi possit
  75. aequalis nihilos quaedam ex ipsis t 12; videntur assumi posse aequales constantibus
  76. si sumeretur 2 =0 ficret CDt in ratione constante ad 6 et rediret a t q redires ad Q lii our
  77. 8 ad C ut G ad D. sed ita C) vol D reduceretur ad e contra hpo desideriL
  78. 2 Reducamus 4 ad E Mednatur 8 eudeB
  79. sed ita tantem 1D divieretur per E quod nolo, itaque non licet facere t 20. sed constant unde
  80. non multum compeudii. interim mmanere potest reductio laeterum ita nec 2 reducetur ad
  81. esset constus, et atterura ex d vel constans verbige. 5, oportiet in fD F bDD + 222 sumtaau denuma
  82. evanescere et in 500 +25(D(4 + aa Z +5OOBD (btC) + ua q gb +C) Oγ- aa 8DQ, etiam smmina ter
  83. alti plagula
  84. mns erocresceltubi sit . dot
  85. resumatur distinctic.
  86. construsun succodit
  87. atu itanuiem u vtu ai
  88. uta
  89. +24+2 +()
  90. 43ac F 1OD
  91. d
  92. hiuah aabet e
  93. 24
  94. or11bBtOD
  95. s2C)
  96. dere, pamy
  97. salia scheda prosecu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0110?run=74