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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 255v

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: 0.71.

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. 254r); this page is its left half.

The machine reads it as

  1. Rectangili KQ. momentum ita invesigare facile est, data recta H P. es euin HB S HR era ticessigada est ergo ante omna
  2. Ip XP. quod ita fiet: DP. ut
  3. et BGF similia eri DX
  4. E DX =, ot
  5. FG
  6. DK. Ergo DK = BK FG vel quia BK nusus dif resolvenda in FB. Rrevius erit
  7. F5F - 60G
  8. BG.
  9. oc Ex 1X. 190 arG. b. E(1x ig = a fqX
  10. eFB
  11. Lin
  12. C F, a FB, dehadum reliquit XP.
  13. in quam rectam DX KP. dicendim quadratum dimidium rectae XB. Est autem recta KB yF. ego XB = y2
  14. n
  15. sice f - 1 - s XXF et qu fL. Lst ru (A pu 155 pun 1(0) f mes)
  16. g
  17. 9
  18. Sue
  19. fiet (KB = m - coX + nX. ducendum in KP. quod cum sit radix sarda, ipsum KB. tursus quadrandum est,
  20. K8.
  21. fiet m- cx + nX Jsive r 2 max = 2 comX An X = ZconX + c0X. ducendum primum in y. et
  22. n = cox + nX
  23. m
  24. a produdi demendum idem ductum padice quadrata; adimenda est radio quadrata
  25. coxp ana +CX+) esusdem KB, ducti in DK. Rosidii dimidum erit Momentum quaesitum.
  26. niX
  27. +nnX LonX3
  28. oxa trinX d + m 2 porro quia in caeteris omnibus impl trrui componentibus implicitum est X. demto t.
  29. .tat
  30. ideo reliquis sequestialis, cogitemus tantum M AM duci in y. sea in f 2. e.
  31. CA ed fiet an f n i (0) cunque reliquis omnibus terminis, sane quam plrimis implictur X. ea omnia simiul appella
  32. de mmodu binus 26. Eritque XB KD in FB. = 0 +
  33. Et quia idem KB ducendum in D,. manifi.
  34. cn stum est, tatum nihil hic oriturum quod non incognito affectum sit, ob dvitorem FB. incognito affectum, ets
  35. C
  36. enim ex parte tantum, non potest tamen dividie per partos divitais. ideo KB DR Fieri tamen
  37. mpotest ut ab eo liberetur dum scilice opposita aequationis per divisorem, illum multiplicatur, deo seques
  38. eg is caeteris ipsius B KB terminis in DX. ductis, quae simust cogitemus facert. W quia ipsa
  39. 10
  40. scilicet ab inognito liberari non possunt s cogitomus nunc a M indig- a fgX fiet: I ig-
  41. FB
  42. M 1915 1 a f9X n. sed quia posterius a fgxm: ab imognito illiberabile est, ideo pominemus ipsum V
  43. F611 LFBC3
  44. fretus
  45. 2 FBC3
  46. 19 0 42, = mig + v o3 = momento Rectanguli XG.
  47. pollimus hoc libre spesidere, e smplicite numentum Sed possum disinpliciter, momenture totius rectanguli
  48. BK H F ipire multip licando quadratum KB in FB = ob 40 96 ergo 2o aealim .dB,
  49. simi
  50. 21 2 d,5
  51. Nun et momentum Ii ABZ. AGB. Nimirum sta omnium AQ et paralletm est Trimegulia ductum ii
  52. XB. et praeterea appliculer li ipsi Aq. parallela dudae quadiata dimidia. Jam AQ = a - 9CAd. Bd)
  53. B
  54. 1
  55. Ergo A2 = aBk - gBk lam BK. = FBf. Ego Aq - 2 FB- gsEB Hdui Q Aq erit as FB g FB
  56. est
  57. p ca per a f, vocemus (p) uliqua per endem
  58. vocemus: (G.) habemus. P + P2 eodem modo cum f92 e
  59. A
  60. s
  61. +3
  62. 94
  63. ergo A9 = p + 9 q + Yp hoc ducnue in HC. A in FB. ig - a f9F
  64. fit Q H ipsius Aq. menge Ag 2. seu P + 4 - 2 p q et c. F. etC. hocu ducat n FB. ducatur
  65. 3FB
  66. ego tantum in f= l etc. sed hoc appellemus a reliqua neglecta omnia, exd ductu Gooriunda: (65 6) habemus.
  67. A8+ F5
  68. Idem A3 ig dubit multiplicet,
  69. EFB
  70. in ea tantum P = 4, d pietqus (24). reliqua in ner ig = (5. 3) denique A9 in a7 GX = (53
  71. (3FB
  72. 3FB
  73. Si
  74. YDFB2C
  75. fiet : + 5 p F AQ in DK. Ergo AQ in KC = sa + 8 - p + +
  76. a2a bf. 2a6 b
  77. Alromento Trianguli AQB. q
  78. 5d
  79. t ia istomentum jam quadilinei APHFg. quaerendom est.
  80. hFB
  81. ac primum momentum totius AFAB semisegmenti, id est E AP. ductum in a demto cubo H P3 Ae primum
  82. B AC est. BK + A2, _. seu BK + Ag = 2 AQ Bk. Ut quidm A2F, a f fB. 19fFB, et BK L
  83. AFD F. Ergo A3 BK= FB C a gf f. jam F = f. ;2
  84. v
  85. s
  86. P2g
  87. 6f = ()2) et reliqua mnia emit (H2) ergo AQBK = V N Jan
  88. L AB = BK + A2 4 - 2 = = n. = m cox +(nX + P s 4. F P su. n + p. g rna. enipu
  89. Ego 1 AP= S - X in a, erit ad= qu. Munc opus ut in vestigemus m ipsiu AP.
  90. 62
  91. um HC= _ HD) = DPC, (FB) Ergo HP = a = FB. cubus de a- f B est a FB + 2 a FB F B. 3, otrdau
  92. seu a = 14 D = r + x 4 51 32 + D E90 ad an = a + YqB + 16 s 45
  93. + 2 F ~ Momentum est semitenen et t Pa cuo aliter ptus cntralum
  94. Jurestindus et onenuent, semmpegment ei H Reprimi (FI BK. HP. ducatur in H ers at
  95. sed salso devminitio pss H B, nempe a - YB. et humc eviorem jam supra erravim nec satis patientiie est, ad ista relene
  96. a - ab + b=
  97. isradieh
  98. 0
  99. eu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 255v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0512?run=44