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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 87v

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.

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The machine reads it as

  1. EF in omni aeq. simplics duam differentiali duarum
  2. alem
  3. sit pamy et f nv
  4. 32dcomus + 3tdeonB
  5. 33dcopy + 33dco gV
  6. 32dm 1) +32dub +32 may + 32 nd
  7. 33 aps + 33 dgV +33 pdy + 334
  8. Jomus
  9. fiet 3on +,dce n +H 9+ 35dc) + qeduty dqu - tont 42 dcon + 919 + 43 des 9+ Fnt 13
  10. Ex his duabus aequt siuul tollamus V et de
  11. 30. 42 un (+3242 dconn + 3Ig2ng + 9f. 33. 4 2deb n9. + 32 qunlu 33 +undus
  12. aequ.
  13. 32.40 nn (132. 42 dconn) 32. 41 ng
  14. 33. 4149. (+ 33. 43 deoq4ue) 3340 ng
  15. 32n F339
  16. 32. 43 deo n9 43. 439d932. 434dn
  17. +. (32. 43 d0 ng F32. 42ng 152. 43 ndque
  18. 33edqu
  19. qutmy
  20. =d(iem 9 . dsiet
  21. 1328 mdy +33 C9d
  22. 4359)
  23. 33C p dy
  24. 43f p dy
  25. 4359dv
  26. ex
  27. 42f
  28. 1354
  29. endo et demendi
  30. boli tot
  31. ope ducrum ipsius deo valorum collamus de fit df
  32. ita evanescit do, nec
  33. oumF 3Iep-3Eam -3 Fdpe H32. em + 32 edmtz ndert
  34. du2tmtaefum+
  35. destmamus in hac aequatione tan ds,
  36. quam fdf. ot af, fent
  37. 33. 42 egm 2 47 e
  38. dexomiratores Y
  39. (32. a2 emnds) + 23 42 e puds (42. g2. fmnat) + 4. 47 fnq edt
  40. espetne
  41. sed hoc nonlicet
  42. peuaere et (et silitu Ls) Dum11 3 p - g 2n. + 439
  43. 3em + 33 ep +42Sn t 3sp- 3 eq 435 47 32e+425 = m2
  44. 43P
  45. a
  46. B3Pp+ 43fY
  47. 22t
  48. 32C+425
  49. Faciemus 32 em +33Cp + 4u so + 43sp = 32 en + 33 eqtarfn + 43f4
  50. ita fiit p= 4 sed ita Clial sieiet n = m
  51. 2
  52. m
  53. g2arem +33 V ep + 42 Lm + 43~. fp = 3raent 33 acq. + 4rafnt. 13 afq
  54. ut 42. 438
  55. R = 32 N e m + 2G ev ep + 42 v. fm + 43W sp - 33 aeq. 43af9
  56. -42 43f9
  57. hrac re g2af dui
  58. seu n = m + 37 e (qop a9) 1B (33 C + 435) C p - a9). d estruntur spont m Cfi
  59. 42n 4 439 sit n l m + 43pF
  60. 23ac - +2af
  61. re 4et + 3re + 42f -0
  62. eaemet Lepe tes C3pdete negut cqne
  63. e as2e Scde A1 sp 42 p= 43 pas-a sa massut aqa
  64. Ar CN h Sep BCer dae ((3 d 3) P + (41 - d4) (33de + ~) p- 9
  65. sed ita simul esd destruitur du et fiet
  66. hoemgofm
  67. 20 en fB fes + d32em + 32nde a= 240fta d4fm
  68. supersunt 40fn aa +d42 fn
  69. et fit n = M
  70. de
  71. a43p93 fap +43p d
  72. 32em = 33C p + 42f m + 43 fp
  73. 32 en + 3309+4
  74. q2m + 43p- 4397: 42
  75. =32. 43 ep
  76. Z243C
  77. faciamus potius denominatores in data ratione sit
  78. etAm +4
  79. et fit n. m +
  80. +
  81. my Esc lum affictis per dys do- 0
  82. a23 ex +33 Cdp +
  83. v sabi super posilis destrecris
  84. Bie
  85. deo = - 40 5n- a15
  86. 532 42. en mdf) f, 3. 42 Cgmdf +42. 2. fn md5 + 42. 435m q. ed
  87. quarum ope toltamus n, et p, nempet
  88. et fiet +33 grep + 42 a3 fp
  89. 37. 42 19 = 42. 435)4
  90. am -42Fd
  91. lodem modo e
  92. 32. +3 emgts (137 42 e 9p d5) + 4 2.43 5mg df (+ 43. 43 fp9 ds
  93. quicquam lucrimur
  94. rent asmentu
  95. ded = 40
  96. si licet
  97. 32. 43 en paf (+33. 43gpds 42. 43. fn pas (+43. 43fqpdf
  98. a
  99. qn +4Bq
  100. Et de reliquo t frat ex y totleado ibi supersiositis destinctis
  101. n do
  102. qufdeotus arfdcono. arfm dus +42fndo
  103. 40fnv
  104. grtn
  105. Bt
  106. dremt3s ex +Em p+3) y + d (32 en tcq +g Sn 14) sy) B
  107. rant
  108. et compositam fentemus compiet (rem reprartmta3s
  109. 33dcd e q
  110. 32edn
  111. n
  112. 1.
  113. smassiplicasam addamu in
  114. 33. 42 deong 43. 434 9) 337 42 gda
  115. hinc per illam
  116. Quod si aequationes eddnts tractabilem
  117. gredomys +32dconv
  118. +330dcopy
  119. +2 edmys
  120. 33CdpG
  121. +3legV
  122. 475P
  123. teral eiferam anguiao; itaque
  124. +30 + 31C5 =32 d( + 33dG -d et 404, f 418 +42dip + 13d9
  125. +3 alco 133dco G
  126. 20 siniliter tedous etc
  127. 31. 4349 (+ 33. 43 deo49 36.43
  128. 30my + 3onv
  129. 31 epys
  130. ortns
  131. 42co 43dco
  132. si= mg+no et g - py + qV. fiet et dyp - dmgs + dn v. + msus Ando it d - dpst dqu + Pdy t9 do
  133. abemut aequativnem
  134. Et obtinai uaes novam quantitatem de
  135. 30mys = 30nv
  136. 1py +31qV
  137. finc
  138. tmd
  139. 42 n
  140. (31 - d39) e + (41 - d43) f - 33de - 43df ) p-
  141. (d32 - 30)C + (d42 - 40) f + 32 de + 42 df
  142. 3 a, p -9
  143. quos binos ipsius m valores aequando
  144. M = (_ (31 - d3.) C + (41 - d43) f = 33de = 43 df
  145. d32 - 30) e + (d 42 - 40)f + 32 de + 42 d
  146. (33 e + 435) (a p - a9 a, :, v - a
  147. fit
  148. 23 aC - 42af

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 87v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0172?run=74