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Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 1v

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. 2r); this page is its left half.

The machine reads it as

  1. Si ergo sit du = vdx s mxran et fiat nxtan = 2
  2. 1(2 2a v22 em n 2
  3. amaa et
  4. aL
  5. bxtac ac c
  6. fiet ex
  7. + 1: 2am 1: 2a Im
  8. oram aim Zubtaim Zb - a sm
  9. sit jam du= dx matan, bxrac = d ex bx tac Ax S mx t an =ay fit bX + ac = V = abes . dbn , ac
  10. L5) (abez t abn cubq a E m
  11. seu V
  12. c em. bn aebn aem poyt in, p : , 1. d ratm
  13. Ergo dx Imaran, bxtac =
  14. 2m 2 b7Z aam VC A Z.braim Baboam Zebratm Zsb asm
  15. Ubi rursus nova resolutio instituenda est.
  16. .Et quidem ex 6 et 15 in catu aequ
  17. sit _ eesita ag. 2. sit: A de Atox vac, mxran = Eaa, en bn, ae bnndem q q uy seu dos bprac, naran = 4G2
  18. Quad et sie colligemus: Resolvamus ergo .
  19. orroli c + h l-
  20. fot (3) ocontil
  21. id
  22. cimntin coth
  23. et s- k
  24. (3 lb2 aam
  25. hoc modo
  26. LElloco-hh) caur
  27. . 2 3) cocontia scototiti, catr (3). -. an (et ers. B, oth
  28. ta ico ed +h
  29. Arfilo scoonth. coth
  30. cothC
  31. 1 (3)- 122h
  32. poptu qu a enbri Lelicam
  33. cotm ast sadtii hi
  34. cument, utt cort ausit hgu p 1 12) 1.2h
  35. E. h. Coth (2s coco-tih (.) corh, coco-hh
  36. Dcocontihi contr (e) cocontih Ergo L 9 = 1: 2t 1
  37. et cent
  38. Bel comath, edah () conti er aliti P seoronth
  39. comprrbatio: = 2coco + 2hh + +CoC rEdh + hh + co + 2coh + hh = + 4hh
  40. 2: 4tik + 1: atit
  41. ecentin (Tothycdconhh Pconh, edctih
  42. scoth, a. h Etera, cotrntibi
  43. (2)Coth ocotit corho cot B) coth
  44. L . Ergo
  45. =1:dk- 1. p ath 1: 2h
  46. 1corh () corh
  47. Eoh consi eo conhit BCcoth et coldoht soah coth
  48. H 1.B(3 1: 4th, 1.2h
  49. H Hib) 2 1. t X
  50. ath ck
  51. oi scorh, cocon hit p. t 1. 2b
  52. picatui ito
  53. 1. abh et li8h
  54. Liscoth Ltcoh
  55. nto voit ibti
  56. tui
  57. co-h ro
  58. (t conh 13) conh
  59. Ergo per a49. 10, 15, 16
  60. =1. 8l3 Ergotandem ex 10 per 15, 16, 17 fiet
  61. r: 16t -. d. 1hik 2. 32k
  62. Dcoch 13tcogh
  63. Pcorh coh Coth cont
  64. corh3 conh. Lt . h 13s coad
  65. 1.81
  66. D) oth ubi quod examinis loco est
  67. 1bhd 1. 81
  68. cont. Ch
  69. h et h se habent eodem
  70. (20) ponatur Jico Eeg. 19, Zso toroco, et a sin foce h.
  71. Atque ita redimus ad colculum superiorem.
  72. superest jam ut summemus Cso coco deo cocodeo, cocoduo cocoduo coco deo corodio
  73. Co+h
  74. cont scoth jescont 13 corh 13tco-
  75. sit conh = Z fin eocodeo (2 - 2lh + hl. 1q =) Zt ehiter tit d2 Ego Scodo deo L corti - ih cot +. b S
  76. seu scocoded =
  77. E- 2t E + hitom Ego f ouo = rt - 2hstes - th, e faoto = v.h. 4. 1. .
  78. =h (23)
  79. 4. sito-oth +hor a h sto
  80. oth coth ideo coti
  81. -hh
  82. coth 2cot cont 3
  83. conh cohr 2 t
  84. 2 cos + 2h coach + hh sunt
  85. -3: 1bh3 oth - M N- t
  86. 1og. at
  87. hi o revet
  88. Em oenti 4 Ca b tit
  89. + c- h + ah San B
  90. + Sut -
  91. Qa quad abera deniet a quad atura Hyp. si a sit quantitas ealis, vel
  92. Snxran, fin festodio
  93. quad. Circuli, si h sit quantitas imaginaria
  94. jam co ponamus Zsb et pro h, ponamus am, et pro Z. a pondamu
  95. oio ara
  96. fint in
  97. cotti b
  98. = (dx Sbxtac, nX ran
  99. alculuu
  100. conui cocott Co F reoh X = rcob3 .h
  101. quod comprobemus: (co k 3co h t 3bi 9d s co h co + h phcoco H 2td 4h o ++ humi 8h
  102. 112t Ergo
  103. Similiter ergo
  104. Ergo S corodio
  105. a
  106. ocontin Q co+h
  107. .3 , c B) + oCh) =
  108. 2=sti e H coim

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 1v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068070:0002?run=73