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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 169r

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: 0.73.

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The machine reads it as

  1. 1E f, 140E. 3
  2. Ghoc.h+
  3. LEoED +s 1E. DEDIF
  4. p
  5. E
  6. CrcoEb
  7. Gnsep 9 + FH. oE gth E
  8. SC+)
  9. hhor. Et hiLoE. E4 k, E
  10. H SE+)
  11. f1E E2. 21 + 1E. fr. 11 +, 1E. E) + LEr, 81 =9G
  12. 3)
  13. 3
  14. 3 5 22. 81 + 12 o Eb21) 11 + stE 0E. (9) E1 + 2E2. 22E) 81 = 53
  15. 16. 22.
  16. 1E0EE2 (V) EH DE E+ +E. oE(51, Et + Ex. 22(1) 01 = bS
  17. OE. G2 (h). 16. 2E 22 s2.
  18. D. . CE)9). 21 + oEE2 22 (2. 11 +, 22, 81 = E5
  19. 10E. Ex 21 + 1E. 0E. 22 (_ 21 + DE: 22. 11 + 1E. 0E (5d E = 25
  20. OE. 22. 21 + 15. PE, 9, E) = 15 10 OEGFO5 pdis hunre 1
  21. ns 8 =gosso ob t 12 n)
  22. h∞I =X E1 = E1, 515
  23. 95+ A55 + + ht5 + h65 + Rus + A15 + RoS
  24. EA+ dEoE E2t
  25. +1E. 22+
  26. 1E. E2 + h15Er 222+
  27. a
  28. 15.0E. (29+ 1E. DE. E2 bF E EF
  29. 51E.0E. 22. 4 + 1E. DE. 22. 9+ 128C22 + + 0h 22+
  30. ., 1E. 1E +. CtE. BG F 1E Ot 1V9+ 15, DE. 12 b r A, DE.12 = (312
  31. 1E. P22 +
  32. 1E. Er 12. 2 + 21E22. 122 + 1E. 12+
  33. 1Eot: Er. 2+ 11.0. (2. . B + 160E.22. 122 +
  34. L 1E0FE2. 12. B + 1or N. N b + 150E; 12. 2 f
  35. Si s oE. E2t LoL 52 2Z + oc 2222 +
  36. si DEEm Er Ko5. 22 142+ si DE. 12 =
  37. DE. S1+ sDE, ED + A, 1E. DE. G(+ sitE. DE 9 + fioE
  38. EE +h E2. 22. E + A52. 22 E + f 122 +
  39. A E2. 12 E + AE2. 22. 12. 9 +, A 132. 12. E +
  40. Bcht h1 C. oC.9 +. Riti DE: L + h. BE
  41. REr: 12. E + R22. 12. E + fi. 12
  42. Etheect h2222+
  43. hE2. 1. 2 +, h2E. 1C. 2 + h, 12
  44. )aF1FOO1L) 1E.VC + h15. 0E 2 +hhoEC: cE2 + h2r +hh 12 g = X ret guipat. ho Et L X 21 + X11 + X 01
  45. A b. Cht B+ Ca+ ut = Y ns 3Bd B Gurmab ab d. + X3 + X 4 + X
  46. Xd +Xut ca
  47. 1E0E()D. VE. EEZZ(2)C
  48. e
  49. 1E. PE. E2 (9). 150E52. (2 IB
  50. 95. aEp2
  51. h.11+
  52. E5=
  53. 5
  54. 03) 2
  55. V5
  56. 95b. 55 +95p 05p X: 15.C
  57. 25
  58. 15v: 15 + 95pX : 65 B5p. Z
  59. 95p2: f8 2 y 9ss = Et
  60. 25p2: 15 = 117. 95p = n H
  61. + h55. o
  62. Et sbut. EE. An sib obr K1
  63. 1F+
  64. 11142: 2b.. lio
  65. (EDHC+; EtiI. EF
  66. ch Et. ob2
  67. (RIV. 1V +
  68. R2ti C. 2+ fitb ob. 2+
  69. Exthtth
  70. ut
  71. 1-=
  72. t
  73. Eth15.0b 9t R1E
  74. y hon
  75. Eb
  76. yy = 12
  77. 2
  78. 2Z= 22
  79. y+Z=v
  80. Ex 3 fit
  81. 7
  82. Cyy +ZZ + 2yZ = vv. Ex 4 per 1.2. fit t _ 22 - bv.
  83. (6
  84. Ex 1012 fit 49927 = 12. 22 Ergo ex 5 et 6 fit vt - 2. 1 vv + 127 =0. seu etiam
  85. 22
  86. - 2. 12.22
  87. Hinc ex 5 et 6 fit vv - 12 = 2 V12. 22 seu V = (12 + 2S12. 22
  88. Et ex aq. 3 per 1 et 2. fit: V = s12 + 122
  89. 10 + 11 = 2 1
  90. 16
  91. V_ _C XX L act bV XXLa, IIXX + AX + 13, : 20XX + 21 + 22 = y 7bY
  92. + 1IXX + 12 X + 13 =0
  93. =201.
  94. - 21. - 22y
  95. X = Yu - 4. 10. 12 - 11, :, 2. 10
  96. 4. 101C 4. 10. 10
  97. C= er Sio gy - 2. 1221 + 1_ + 31y - 12: - 20y+ 11- sit y = 4 vV
  98. datur rx y
  99. =4. II. 22.
  100. e
  101. ( Cak 10 X + WX + 42 = 0 X + 1 X + 11. 11 = 11. 11 = 4. 10. 12
  102. (792022. - 4. 1320- +I1 13
  103. El eb
  104. A
  105. Criydyterdes
  106. fiet XB. Cxray = 2 vav f.. ∞ r. p +. V: e 20vv+ 11
  107. X9 dy et t a se invicem sendent.
  108. Hujus ergo datur quactatura.
  109. et xydy
  110. (r- 207
  111. xy. (X du, hi reducitur ad 12XY 12X dy. Ergo si 20 = 0 reduatur
  112. 11 - 209
  113. jam X dy = rgy +.. 9+ y 221y f... - 12,: 11
  114. ergo xdu reducitur ad yS.. (et sed nit hinc lucramur
  115. Eydu
  116. X dus oducitur ad 12X dy Ergo ad
  117. 11-204
  118. ad pay
  119. S.. 2yt.
  120. 209y - H1. 20Y + 112
  121. hoc mutat, ideo solum
  122. aliter quae amus X dg. Nempe fit gy et +2i qy + 2. 21y f. posito 12 = 0
  123. EEg fit ut
  124. 209+u
  125. monum =20GF1
  126. x du alias pendet ab Xy dx sed xy dx datur ex quadraturis
  127. rationalibus hinc videtur sequi desidentum
  128. datur ex rationalibus quadraturis S. jus +9+. j. y sit y
  129. f. 9 +. .: Ly
  130. y = v i dy = 3 vrde. fiat Y 3 updv Y. v +.. = 3ddo rutp
  131. sit. y = v Eag B dy ay+b = 3vvdv (avtb = 3dx Sav + bP
  132. rC
  133. su G-v Ergo du Tagtb, :g = 5 v+ do sav + b, : v5 = 5udv Yav +bV
  134. = b Ergo du fagibysi = e v do fav 1b, : v y = vet Erg dy rageb, ig -tet. V do Sa vE +b : et
  135. E = 2et1 V aura
  136. +E
  137. 20-1
  138. e y = ve Ergo dus Pay +b, : y = 2e V. Sa r. +b, : B = 2C. v (a r +b
  139. quin summari conice pt Tav + bY hinc fro V ponamus Z + m fiei S, a Z + +aM Z + bam Z + 4 a MZ
  140. + bab yl + bm
  141. (it Rc ac+fCd +g. fiat co dh et pectibit aZ + 4ah Z + 6c hhi ZZr4 Ct Z + cht
  142. + f ddZZ +2fdhZ + fhh
  143. sit
  144. Ergo fii f = 0 seu non procedit comparatio
  145. V)+bV = vtQZZ r ab LvEZ (V+ 2vrZ + E v - b ∞ + bb = bb-
  146. 1622
  147. 1637
  148. g
  149. 4
  150. set 6 th = 6chb +
  151. ergusit facc
  152. Z redil ad Nbb. 2E
  153. et 1y+ byy +ila sit yt + byy (+ et Vcoco +2yycoe (+ eD sit y + b = yycoco + 2coe
  154. a
  155. sit ycon
  156. vel sic: y’+bytee yycoco +ryco dF ee) et yy +by = geo troe
  157. . 2lcoro
  158. = bb - 2b coco + Co 2bv + 2co V + H
  159. sed ita seco = 2by +rcocov+V
  160. sitco= XV siv 9ex = 2b + 2YX vB + B
  161. e W =dVX 2b,. 1+ 2xC
  162. 4C
  163. t ego
  164. 1
  165. 961
  166. Amo hoc non
  167. licet
  168. od crxdu

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 169r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0337?run=74