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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 130v

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: 0.72.

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. 131r); this page is its left half.

The machine reads it as

  1. ut ergo. sit
  2. ponendo Z
  3. gp
  4. 200
  5. c 7d co-
  6. 2C0
  7. Z X, e) quadratas facile effici potest
  8. 2c0
  9. 12
  10. 1 Co -X + sh Male, nam dudum inclu X includit 2.
  11. et duendur praeteren co - Z _ = X e quadrato nempe co - Z ) + cor Z 0
  12. rh
  13. Cc 2cd 1co
  14. et siet -X et Co Zm +m sive -XC B c m -Z m ma, et explicundo Z per co nconta
  15. fier -x co, et ponendo X e, mp fiet -m , com Z m + m,, sive m,c +2.
  16. ponamus Z in se continere co, seu esse e _ cop fiet -X cd r7 Co: m = co 2p + mco, sive
  17. Va
  18. pam - in t 12. Hec forte imulilio massumendum cd -mito
  19. coqo
  20. et 1
  21. C et m + X (
  22. et eut X0 s e 17= s
  23. fac mco 1, B S fet + mco Y BS S si
  24. hinc duo valores ipsus seo pror scon B - 35 Csm es
  25. ec X
  26. restat aquatoe: inter 18 + Z F + (050
  27. vi
  28. zast
  29. sive d2 + BS, m dX
  30. NIm
  31. Y Unde valor ipsis X
  32. gag1 pro A ponatur eius valer inventus d-d)
  33. veo
  34. noZ H G + 3ustr. ut ego hinc duamus vnlorem
  35. fiet - Ho Z e on - dx, sive 3V54 pyV
  36. agr
  37. iph3. Z) faconus Bapo qu + 129 + qu, entue Z sive (d 1 Z + 4, siuve Z B Bd - 9.
  38. xvr 2
  39. _t eadem Z H 348 - qu - ( s2
  40. 2+nv
  41. 12 AZ 2 hRectius ipsam Z explicabinus,
  42. pounozue ZB B5 =4 9, fui 2 e ∞72
  43. 34 pg
  44. A2 n2 = + 29 (31 + q r
  45. β0pu
  46. 12
  47. +29βd + q et habebimus
  48. habetur ergo Y pure, et Z. est posita Y.
  49. X etiam et posita V, seo, exposita em quae habatur at in potest sumi
  50. pro aubitiio Z. Jam X, etiam habetur ex Z. conferendi ergo duo valoes ipsius
  51. X, alter per Z, supra notus, alter hic inventus
  52. imo ita potius. Sad invenitur suppo sita sm et B. d. d. Reliu
  53. quatur ii pro arbitro, o
  54. 2B gr
  55. 42a ) +q+ ponamus ps h+ + 1 +t pont
  56. fet Jugy, + 2a β)ht
  57. fiet e ri . eer +nf
  58. pugo 4 2a Y + a7
  59. ax
  60. ap7 + (37 +1
  61. Jam Bas
  62. ay 1. seu aHfi5.
  63. N
  64. alite Vtr
  65. v)
  66. habebimus: 24) x + r 4 La β7 quadrato
  67. et a7 +raen
  68. ao 2aY + Y
  69. 5) ponendoruisus 247r +r
  70. 7. Ergo β
  71. a25 + a () eA n. uno 1152 a )() () 2A + a D 2da de e
  72. X 1 8 + 2aβ), 2+ + (ht + h
  73. a confercurh t +1. pone A 1a, a Y 5. fiet aY
  74. et Ca BY) (+ 10 fiet a ( y + 2 et BA L
  75. pont)
  76. restant () 2A (F)) )Ne + N conterenda cmn ht. quod ut fiat pore Ap a
  77. et fiet ) h t. aliqua ergo nempe a habetur pure
  78. sed quia id nocet ideo num t, intrabit in nominatorem ver resumto:
  79. (+ Aa B) YNe A d p p ht pone A M p Lit. et habelas valorem iptius ht
  80. sed t et hoc cocet cod modu et rndis erit 427 +1 (t 4) . et pontudo
  81. n a fiet radio a(B f 1. (+) n 1 S h at sioc e t, F
  82. phite
  83. (2a (aβ5 (2 A e F arp X) Ja) +ar n llt.) Aa + N
  84. alass pre

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 130v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0262?run=74