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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 119r

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. 120v); this page is its right half.

The machine reads it as

  1. P= a 3 C -y
  2. 2BB = du AE3FqF = dv
  3. ABC A sedn
  4. AFCA = (na
  5. Sivan 4 ABCA + AFCA = ACfe ABCC) + d du
  6. svan + fndo e + nv + dudv. dix
  7. LRDEV, dev = (-nV. +nV+ van +n do + dudo
  8. dno B A(C) - AC = 3BgC + 3FAC - 3C4C = du vrdr v dn t ndv + dudix. per r et 4 redit 1.
  9. ntnbre vn dn. btan + duht dn = dudv
  10. 0gi C + 6∞ t ab3C +3B4C
  11. AdCL sedu 3B+C= vdn + dudv. Ergo A4B Sran + sdnav, = Ad+
  12. AB ASL= paous
  13. 3F+C = n do + dudo Ergo A+F +CA = sndm + sdne = vF, C+ F LC+ C, Ct 4P +C
  14. Hinc Bnra n +n. v+ de sudvt sodn L2) dudo
  15. quo scia au
  16. vtav an van + duav
  17. 3B4 3C+B + 3CAC
  18. rto etu
  19. 2B3C = 2C3B + 2C3C
  20. 1B2C = 1C2B +1C3C
  21. oB1C = oC1B + oCIC = oCIC
  22. summ. SB(C) = sc() + 5c)
  23. AaBtepis
  24. s DEsB
  25. Aabnc
  26. sulo
  27. etando Ddotanao
  28. 3F4C = 3C4F + 3C4C
  29. ntando = ndv + dndr
  30. 2F3C, = 2C3F + 2C3C
  31. IFAC = 1C2F + 1(2C
  32. ut Bait constat rectangs ulo
  33. OFIC = OCIF +OC1 C = oC1C Vtd an
  34. s sac) + sete)
  35. L CEICIEesErC sples e. G C otaus verer, epa
  36. setdotu = sudm + sandv
  37. + 15. G1 C p eG ~ 3 G (Y E GE. C
  38. suidu ar = snav + saAdv
  39. A4BACA + A4F+CA = A4C + s c(C) seu AAB in 4B4C + sc(C)
  40. Ergo Suan +Fdn +snav + bis sandvi. = A +C +. Sc(C)
  41. seu svan + sndo + Sdndv (= A 4 C) = nV
  42. Unde patet figuram post multos circitas cxta tandem concidere
  43. nam aeq. I et 1C, tantum differetat quod differentialis 1 est
  44. ad id tandem devenire quod
  45. quodsi uno ut crescente crescente altem
  46. otentiarum
  47. Nam verb.g.
  48. X un A sit v= un et do erit 2ndu + dndq. Hn si d
  49. Ex hac regula puto eserivari posse summas t
  50. et ndo= 2nndn + nandn jampere fil Suan= nv- snar- sandv
  51. Ergo ex 15 per , 1n, 14 fiat: Pnndn = n- zundq-snandn - sandv
  52. Ergo si du constans frit: 3f1Ndn 4 du stndu + dn RN = n
  53. ut v = n ex Et C- do = dn et ex 1 fit per 12 et nnfict _ fra sn nn
  54. seu 2 fndu Lan 2ndp 1nan + snan + Sdgdn. un. Ergo si an
  55. uis constans fiet, sndn= Lnn = = A dn = =un - = dn Fan
  56. sit v un et deEndu +dn du ergo ex u fit Sun du +2s nndn F) nand L duB = AF N
  57. posit posita scil an constante sed per 1s explicetur Indp, fietque ad e
  58. seu Sundu
  59. ins
  60. 15n = undn = = dn sudn = L p - 1 undu - = undnt n dudn
  61. seu sundu = =n- = nndu + 1 n dndn.
  62. religuis potentus valet
  63. Haec ergo Methodus et pro
  64. sed videarnus quid fieri possit in progr. Harm. V.=
  65. Ergo ex i fit: du San + du= 1
  66. n ntan nntdu
  67. Exhibeatur figurde
  68. subfanhruntur non sibi adduntur duae similes sutumoi
  69. Saesu = v du = Sgestan (X, = S, + hn + Sg+ h + hau et quadiando
  70. Fhor, du =- 4 ghn
  71. 29 F2hn 4 han = 2 g thn L ghdn+nlinda sit
  72. sed hoc foci no ut procedut extractio, sed hoc fieri nequit, nisi certam assrimendo ipsu
  73. =2nen- anda . Ergo ex 1 sit
  74. h. n+ d
  75. pxros ill
  76. in ren tegan +. dudu
  77. aitu ce astrar + es
  78. is trae t ei
  79. Rectamjulum promotum
  80. pana C. vt
  81. ton corsul telaant et taotnone

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 119r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0237?run=74