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Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 7r

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: 0.79.

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. 8v); this page is its right half.

The machine reads it as

  1. sit l = X+b; m = X+ C; n = X + d; p = X +) et ita porro. Erit
  2. Immp cab, dub, eab. b b.c, dac, eoc, M , cud, end, B be c.e, d e, P,
  3. ie adeo continualitur toties itaque tot prodibunt membra in valore, quot sunt nembra
  4. radices in numeratore; Si una ex literis constantibus, ut b sit nihilo aequalis
  5. non ideo minus succedit calculus. Sed non aeque si plures sint aequales radices sint
  6. aquales inter se, atque adeo si plures constantes sint nihilo aequales
  7. sint jam aequales n et B, seu d et e. Multiplicabimus Imui per
  8. 1ia frectio esolvendi
  9. Lper sunt aequales sit m= m, et p absit, seu sit imm
  10. Imun
  11. fiet
  12. l - m,
  13. = num
  14. C
  15. imm
  16. et
  17. fietque
  18. et l- m = b-c7
  19. seu imm b. cmm c. b, ln
  20. luim Im
  21. Inm= um
  22. i
  23. 1
  24. im
  25. Mursus sit resolvendi fractio imnn
  26. sit
  27. et M
  28. fractio resolvenda s siet = L et
  29. seu i= a bybaa h aub, a. sit baso hhl
  30. hhL 11
  31. hihl
  32. Rursus sit fractio resolvenda , fiet m
  33. hhlm
  34. seu d
  35. hiht hl
  36. hl hh
  37. ham = a -c = 1
  38. hlm hhl
  39. hhlm
  40. resploendo
  41. L
  42. 1
  43. +
  44. et a M
  45. htm= a-b, Im b-a, tm
  46. Ns = a-b, ht bua, tih
  47. a- C, hbm ex a, hhil
  48. 1
  49. +
  50. hlm
  51. et h- m = a = C
  52. sed jam est
  53. .Et rursus
  54. cua, a. b, b -a, h
  55. sed hoc resumanus possea, num solu prigra resumens
  56. A
  57. Im b.d, un
  58. b. bi
  59. Imn cab, ln b.c, mn d- b, Im b. d, mn B. c, Im c- d, In
  60. mo dm c.d, n, et im= c.b, l b c, m = (eod) 4b -d
  61. a - b, a - c, b. c, M a 6, P. 4 a ~, W
  62. Gab bidin bic, cod, M bacus c d, bad, n ced s.d
  63. jam
  64. b. d cdin
  65. ut ante olim
  66. a - b, a - b, a - c, c - b, l a - b, a- b, c - b,
  67. aC b- ct
  68. hhlm adb, a- b, ca b, l aac, a-cbac m
  69. +
  70. 2a-
  71. avc + a - b
  72. c. b ∞a+b
  73. a - . a-c
  74. 2a -bc p4
  75. si
  76. b-a, cd
  77. a-b ac
  78. seu cab, ba h. adb, du b
  79. a b, l
  80. dob, ba, t c-a, a
  81. 1a -b. l bua cu auc pob, cabi l acc, ar e, bac, m
  82. =ae hlm era itil
  83. aob cob, l a- cibec, m ergui hlm Cd
  84. Aliter idem indestigabium tihla
  85. et nim= baca, h
  86. L
  87. a = c, a- C, b -c, M
  88. a - c + b - b =
  89. a - b a C, a - C, ba c, m
  90. b-a +c -a
  91. a-c, ba, ca, h ac, b. ba, h. a cC, c- a, b- a, b a
  92. et foret
  93. cab achh
  94. n Hn im bun imn in imn im
  95. et L =
  96. Imin. C. b, dabl cab, b d n b-c, d C, M, b-c, c. d H.
  97. et fit ina cibdabil bac doem
  98. aub, an c, emb, l caa, aub, a- b, l
  99. Ex5
  100. CM ac, a c a
  101. p
  102. anbih. abc, m, Caca
  103. Im A. m = b -- = EL mn in Imn 6. b, n
  104. _ in = d. b, 1 b. d, n
  105. et
  106. +
  107. hhlm a-b, a. B, lm acibia, hm c. a a- b, hl cab a htr
  108. 2
  109. seu tihlm aob, a-c, c. b, l aub, arc, bc, M a
  110. l = ca b, b
  111. Imn
  112. 4
  113. et
  114. 1 - = et
  115. et h = =, et Ch- l = a - b = Im tm
  116. hlm sim him lm
  117. et fit
  118. Ca ab, a b, l
  119. et .
  120. 1
  121. - = = et h - l = a -b
  122. hihil sit
  123. hhtm htit
  124. repertum, ergo fiet: phim a alm cna, dub, hil cua ott
  125. ergo
  126. SI
  127. aC,
  128. ut ante
  129. et duo lsummado sit Co1, 4 b, cab a b, cab
  130. . Et fiet:
  131. GA
  132. hhlm b, a b, cab, l aoc, a- c, boc, M d b. a, c. 4,
  133. V
  134. 4
  135. bua, hh
  136. c-a
  137. a hh
  138. a, caB
  139. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 7r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068100:0013?run=73