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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 164v

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: 0.78.

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. 165r); this page is its left half.

The machine reads it as

  1. C 10x + 1a. Explicentur X et y
  2. per alius v et Z. Fq
  3. 320WV + 3 (1VZ +310aV +300aa
  4. qove+ 4vz+ quant quona
  5. Ex 1et 2 fier s.
  6. 1. 51+ V + 1. 500a
  7. d. 510V + 10500 a
  8. 2. 510B (t 21. 500a
  9. a 610V +601 Z + 600 a
  10. (5) 110V + 1017+100a
  11. artuo pa
  12. 210V + 201Z + 200a
  13. 2. 8105 20. 60ua
  14. et aequando valores 2 et 5, fiet aequatio () in qua tollunus D fucente _10. qu0 - 21
  15. 20. 6012
  16. +110. g20V tBIqu orZ +A10. 40 avV 110I auVZZ + u qu irR + u0. 400 apV + 101 4o2 Z
  17. -210. 320. - 210. 311... - 0. 310:... - 201.311.--, 210. 301a.
  18. +101.420... + 100, 420.... +110. 407... +100. 41 ....
  19. 20. 301..
  20. -10V320... -200. 320.... - 210. 302...
  21. ili (t d’estreaatur v faciendo 1V. 420 - 210. 32020 o n o
  22. Et aequatio compendio sic exprimetur
  23. Z 72VDZ + Z1VZa + 703
  24. Tr
  25. 720 a
  26. 710vaa
  27. unde fit vvOO + adDV + aa OC = se nvC ad PD + + aa Do
  28. ael YBC) + aDV + aa D =0
  29. Rapu qua+
  30. sei v = = aD +a (∞ B - 404): 20
  31. 1-408 = +712 7n Z4 +2. 71: Ht a 12702aa
  32. +7(11. 7(I 77C af 2. 7H.710 L M070d
  33. .2). 70-4. 721702 -4 21. 701. - 4. 721.700
  34. -4. 720703 4. 780. 702. = 4 720. 701- 4.720)
  35. poni potst ef ind. Haec formula sub virculo comparmududite
  36. Ex datis impliissima prosurvas orica ubi absi
  37. Sed ut compendio calculi consulamus, ponamus 50, 50, 610, 600 esse 0. fiet 100 = 0 = 20
  38. sultipli audo dala per altium
  39. et 110 = 11.510 et 101 = 10. 601- et 210 = 21510 et 201 = 20.601
  40. denique faciamus et 3U=o-
  41. +10. f
  42. 20130C
  43. quod si etiam facimnus 300 et 40e esse 0, fc et Ha = 0
  44. 3a
  45. 201. 200
  46. fint O= (101.420= 201. 320)Z Y (10. 410 -210.810) a 0
  47. +10. 410 210. 410 410 401 ∞10140) 110. 2o0 +201. 400
  48. D = (10. 402 - 210. 302) 27 + (1. 401 -250. 30) a2( (1a. Joo 13 a) a
  49. =210. 310 201310 =210. 304, 101, 301 210300 -201. 300
  50. compendio +110 420 H01. +20 L110. 402 +101. A02
  51. 1020920, 81 20. 7o 1002. 702 1o2. HoL 1012. 7r0 10110. X0 100(.7o1 0151 Zl 10oquo oinn od
  52. s
  53. 2o A otzo = cbt 3 201 -io1
  54. 1o he vero = 1oc - Ho 201
  55. -210,320 701. 320 210,362 -20(302
  56. Itm icroeplis lices somilite eto= rec -390 201. Hina invertu lics quo per a
  57. D = 1002 702ZF + 1001. 101 aZ +10vjooaa manet adhuc arbisrn per otea indentus quo per 2, quod edhuc in arti
  58. trio e. factemus 10 e 420 =0 = deo non solum evanescit V, sed
  59. O = 0120. 7207 + 1010.710a
  60. etiam O est constans, adeoque nihil noc in differentiando turbat, cum vniendam est ad d
  61. _= oior 7 702 73 +o1o1 7 01 azz +0j00. 700aZ
  62. + DB) = 1002. 7or Z + 2. 1002. 1001. 702. 701a 2 + 10fr 10v0. 702 700 a a 2
  63. +2. 1002. 010. 7o2. AD... + 1ao. 1oBI. 7or to1. 4... + 2.1001 10r4. 01. 10 (a Z + 100. 1ovv. 100. 700 a
  64. 2.6110. 100d H0. 702
  65. A21001. 0110. 701. 710....
  66. + ∞110. 0110. 710. 710)
  67. = 411610. 3100. (V. 100 a Z
  68. sit Tocmula data Z + + an ZZ aareque t a3p, sub vinculo huic idantificanda, ubi primus multiplicatia
  69. =4. 1010, 0102. 710. 702... - 9 10100101. 71. 7
  70. fueril per 1007. 792. ut fiat 1005. 7072 + vor for + 1002, 10E amZ Los Y nant t 10o2. 702 a p
  71. e absoti 1002. 702 lap = 1000. 7004 et 1002. 1001701 = 1002, p M1 B. 1 = 2. 1010. 01 or. 710 ob Na, e tq. C tabu 0
  72. 1001. 1000.701 +0110. 1000. 710 2 1010. 0100. 710, ob X AZ aZ. EX ag. 1 habemus 70Z, ex rg. 2 Aouu
  73. habem 402 quas claes subctituendo aeq. 3 habenus 20 3B) superest aequalio ob aaZZ, ubi evarescent
  74. tant vam ., reda es al 100, a roredtit ad et reliquas pe o auliu ab tro lipder pte
  75. aet srt et por (mbere 000 o sle pro 1001 oc scubert 300. 701 et pro 0101 701 priber 000. 801
  76. etgo 1 1010. 210 scribamis N 710, pro etro ouo. 7 10 scutum 8 10 in itaque ex az
  77. ex aZ tit 1000701 + 1000. 810 = 2. 0100.710
  78. =1002. (701 + 810),: 2.0102 = 1000 (101 + 80) 9 : 20100. unde ft
  79. A000. 0102. Superet ex ag22 aequatio 1005. 700 (a: Vap) + 0C0. 701 + 2. 600. avisol. 810- + 000. 35. 4 8. 71 0. 801 =
  80. el 1012. fa + 1002. 810 = 2. 0102. 710
  81. pat rgo Sca= no
  82. valorem ua 170r + X1
  83. uos; tap
  84. au titetu Dssum dori o b a to bst oi. h. 1o e vin sesr a0b ao eo
  85. X 3) S1ob +501Z+ 500a
  86. - 310.300 .. - 201. 3024
  87. + 100. 4002

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 164v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0328?run=74