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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 215v

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. 214r); this page is its left half.

The machine reads it as

  1. 1qu:
  2. 13 gX + 10yA 31
  3. 4X + 5y +6
  4. +6, 19X 4630y 6, 21
  5. 6,4
  6. 15, res +5, 2.
  7. rpoB . 5. .
  8. +4, 16x q io. taut
  9. 10 X +ACyX ,qu rAX + 2ay 4
  10. =4.. - 45
  11. 11X + EH + 3
  12. e+1x+ 2Y 41V
  13. + X + 5y + 6 5 aequ GX + 20 Y + 21 + 6. aequ. 6.
  14. +6y + 21
  15. aequo
  16. comparando D et D fit: 6uequ. 45 per termmos ulrimos,
  17. et 5 aequ 44 = 2 4u p 2, d. aqu. 23 - 4919) squ. 23, 21, - 45. 19
  18. 21 -45 ix
  19. 2i- 45
  20. ubi comgrendii carsa faciendo 45 aequ. 21, 48.
  21. fie
  22. 212 - 45
  23. 5 aaqu 44 aere. et 4 aqu. (3aequ 24 - 620. et 4og. 23 -619
  24. Rursus ex terminis piniis sabstituendo n, sut.
  25. 121 - 6
  26. 4319,, 6, 19, - 13 + C,45 6, 19 63 st . 40
  27. DX + ZWX any +25X + 34y +35C
  28. _ F+ Z + Z, 12, aqu. 30+ 32831
  29. erg 14 2 aequ. Y5F HIB.
  30. aequationebus substituendi in ae termmnis a. y. est
  31. hinc vatore insius rrgs- 4 substatuto in X fit:
  32. 4 aequ. 40. serovalore 4. substituto 43. 6, 19 40, 6, , 21, 8-6
  33. 34 10 aequ36..)
  34. 3 70 aequ. 37
  35. et 102 aequ. 31. 1equ. 3
  36. 36. 3.7. dutre artitharia
  37. 1. aequ. 34
  38. ti diatibari 18. 1’ aqu. 3 a qu. 30.
  39. Datu quantitatum summa
  40. 2+V aequ. a)
  41. ex +5y + g
  42. Atex alitu R.ho
  43. AX exy (ny +EX +ot +g.
  44. omparando: hoqui L., laqu 5- 2 f. rastus l aequ.
  45. 2 aequ. 34 equ. 32 ehoequ. A. et
  46. F. Nagu b aqua- 2 2.
  47. euatntus
  48. Ergo A
  49. e A ehs
  50. St1 aequ. 20. fiat 20 ter
  51. x j 1920 -t aqu. et + hl
  52. et rux y - a) ab aqu. 0.) rgo efarqu. efs Bl aqu. e
  53. seu b ago ay- y
  54. auo
  55. fl aequ. 12.
  56. itur eth per fl. fit: et el + hf + hl p 19, 20
  57. eh A aequ eA. Erga e L
  58. 24
  59. 2126 48, 2. t. b, + 47, 619
  60. hX + ly + m
  61. infy mus
  62. Hexy +LF y
  63. + 19.
  64. et rectingulo invenre, 1,t aequ 3053+ aequ 3L) ethaqu. 19. dete fatia (9 A qoadralis
  65. quantitates.
  66. xy aequ. b2
  67. fiet
  68. L 22
  69. 2-6
  70. qui valores ipsarum 45 substibut possunt in
  71. F Ix + 25, 2 xy Y + 1,3 X +21y =8, 10) et quia L9 - a rqu. 43 - 4, 21 per. X.
  72. P110 820
  73. aequ. 30. 2 aqu. 32.
  74. D,10 aequ . 35
  75. 13-4 41
  76. et hl aequ. 19,20 - 7
  77. melius: n aequ. 8. laequ. 6 = 58 vgu. 2 - f
  78. sid ecionto circadumuum belut dumetum h aequr e f aqu. 20 - L rgu. 20 19 + 5g
  79. sammum descripto
  80. apolietur qulaudangulos rectos ergo posita cempendit carsa aequ. 1. seu d qu d fiet d aegu. 20, 9
  81. radix rectanguli
  82. diametrierunt
  83. fiet Lingur 2 et S aequ .
  84. quantitates quasitae Ruitus h aqu. = eg. et h equ. 19 - es. erjo posita sucqu. 92. f
  85. eodem ado ut ante. 1 aequ. 19, 9.
  86. y- ay +a rqu a V manentibus adhua f. et RC ad et ex X. fiet 1 d aequ. A. seu eagu sig. Dr9
  87. sergo 59 - f9 aequ 20,9 af 9r seu ov 9- 20,9
  88. C. 3 aequ a -26 +a). seu laqu. 209 = ag. Eodem modo e aequ. _- 1991 et h aequ. 198 1189 d qu
  89. ego pe. X. filt Aaqu he. aequ. _9 - 19 9r7 198 - 09
  90. 9d
  91. et per y pei ( aequ lf aequ 1g = 2092, 208 = 5v 9, er 5ug. 1 89- 199 e0 3- or9, + 29. l09, 198 209
  92. 9 = 9r sis
  93. d= 9u
  94. compadi causa ponatur e aequ. - 9. fit. lagu. 102o g 2 a. haqu. 23 +8
  95. Aaquhe aqu. 19 9 -
  96. 3= grE
  97. ful
  98. +g. poulsqpu e srae aq. 10g- a e aequ 439 9 -
  99. 29)
  100. Sequel + fM aqu. 10, 20, 9 (+ 19, 960 - 10.9 2) - 10r, + 19109) ( 20. 910 19007 - 00
  101. ey 5 aqu. 19, 20, 9 - c06v
  102. 292
  103. notandum auter 49.
  104. posse, nam ptor eto
  105. ut sit 8 aequ. - gr. sine novis arbitrains effice
  106. am in aequation
  107. ex terminis crbitrarius st
  108. jam: + 30 X + 3, y∞y + 32 g + 33k+34y + 3
  109. nempe
  110. + AX = 3ZX + (n y + 2X, +60y + 8
  111. X + ny + ~5i
  112. A
  113. Xy +8 V+
  114. qu. 194 +207 .. ultum minu unus
  115. in ribri punt an
  116. ubi sunt o. 7. Z. resc. dutae.
  117. 313 etc. et . et. abitieri e.
  118. sunt autem jam inventae: 38. 3. 35. et X. E. . et fief ex qualibet formatresam terminavinus,
  119. et aequando valores fit 30 aequ N - A. seuam 2 ( . 0
  120. et
  121. +33: (h aqu. B aequ 24 (N- 200 1 + ar.) 20 el
  122. seu termini alte
  123. debent itemr
  124. i
  125. 30 aequ aeqo Xe -R. 3I equ.
  126. Ubi rurs elegantisimo compendio in omnibus his
  127. ascendentes si modo pontis 37 aequ. 49. den 37 aqu +29. itaque per
  128. .0V inveniri
  129. 7 2
  130. est
  131. Eubus destiitur a ov
  132. demu fit ex ultimis teminis 35 aqu. 51 + gr. Et sea absolita est comparatio quanuanime potuao alis
  133. inven
  134. inventis .0
  135. 1. quod fiet ipsam, 29. vel 3 inveniendo
  136. g. hop

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 215v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0430?run=74