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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 51v

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: 0.65.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. +
  2. ponapur Roganthinica de scuibi per puncta
  3. sia infinita seu Aesumploto tra sumere du
  4. punctis utennque H et (_), obique applicatis oru
  5. Rectis uta inaequalibas quibus cunque HK et
  6. hoeui inte ponatur madia proportionales quoteua
  7. pero similiter applicatae medis intervallis
  8. e pt per earum extremitates descripta curvasent
  9. loquuitumica. sit R(H)=
  10. dipaitire
  11. et XKf et (X) (K) g. Hinc applicata
  12. inforo loto seu in eril
  13. 59.
  14. utosepeus talom
  15. modiis
  16. rursus media inter hanc et HK sou ferit 1Z (sBsad seu
  17. e
  18. (3
  19. d
  20. 48
  21. fg seu
  22. 12
  23. i
  24. s
  25. nles
  26. a
  27. nota si AM sumatur a _ versus (IF) affici sogno
  28. n vel (11) M a (1) versus H affici signo L. sin contra pro
  29. si
  30. gressu haberi et affici signo minus. Inde unde erit
  31. ea
  32. A)M)
  33. 2
  34. F. 9 =
  35. C: 9 Jam H()
  36. M. versus (X) sumta voletur n urgo contra sumta dicetur.m
  37. A)M versus A sumta rogatur erib b-m. hinc si m contra sumatur
  38. e
  39. mod.
  40. (N)
  41. e
  42. mob
  43. etm.
  44. = minimae = p + inm - 2pm +
  45. a
  46. C
  47. b42m, ib l.
  48. e
  49. porro a puncto dalo in esus mplotu
  50. et TC(M) = - m siet M) N seu X =
  51. m. B)
  52. p(X) sit
  53. et fret
  54. btrm ib imib
  55. ce
  56. 0 seutd(...)
  57. ducta langente (N) B. scimus B(M Cesse constantem quae vocetur
  58. ideo
  59. qo
  60. 2
  61. vocntur
  62. e
  63. erit (H) M = p+inEt tieq generaliter bu Mhsn R- L.
  64. M,5
  65. ad logarithnicam ducenda sit mcinima seu perpendicularis
  66. e
  67. et =2M - 2P + d
  68. d
  69. 8
  70. n g. Hinc si H(m) sit = n(H) seu F
  71. It L
  72. M) (M) = 2 H(H) fiet (M) C
  73. et
  74. n et generatiter siculo in asum
  75. toto puncto quocunque M, si ibind unde ad Laganermicam
  76. Et
  77. epplicata supponatur MN, erit MN=
  78. (N
  79. A
  80. MN seu X= FB
  81. e
  82. erit (n) () media poportionalis inter, P(M) et B(M) constante
  83. p- m=
  84. +2M, : b
  85. e eC
  86. C
  87. imile
  88. l
  89. m: b
  90. e
  91. 2 3
  92. +2M,.0
  93. 1
  94. de dnn
  95. g.
  96. e
  97. et fie
  98. a Elob. hyp. de
  99. seu l0g. Hyp
  100. ergus
  101. dto
  102. EbEmil
  103. p
  104. cu
  105. 0
  106. n
  107. imob
  108. Hoc absolvendum et d (.) admealiter quaerenda:
  109. M
  110. i
  111. yC
  112. Cd
  113. mib -(n: b)
  114. te
  115. a
  116. e
  117. seu log. Hyp. (M (V) = n) D
  118. 2
  119. (1)
  120. E
  121. haestabit initroi
  122. portionales, ut svicetr
  123. F
  124. it
  125. be
  126. 22
  127. uet
  128. p
  129. sed ali
  130. tertias non maldes sut
  131. apoderedibent hy

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 51v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0102?run=74