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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 123v

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

The machine reads it as

  1. s
  2. (L Hincatiud notabile. si et) sit curva, intervalla
  3. 4
  4. tangentium ab ordinatis in axe BF
  5. applicentur axi in BL, (B) (L). et in punct
  6. L, (L) ipsae BC, ipsis BL norinaliter
  7. applicentur, in LM, (2 (M). erit curva
  8. spatium LM(M) (L) L spatii C7
  9. iplum
  10. ABX BC+ y H a EA AE, YAB. EF BBC
  11. erit C
  12. ergu XF Z. et EF
  13. aesi
  14. g.
  15. nempe
  16. ABCD.
  17. +Y
  18. quadrilineo CE Mc duplicato unde VCBE+
  19. per puncta B. C. F disranseunt rectae Lndefinitae, BL, CM. FC
  20. l
  21. e
  22. s
  23. DGK, transferatur
  24. FA ad X9. erit spatium DGKgDO duplum spatii
  25. BL ad DO, CM ad GD.
  26. casus, quo BCF, est lince recta est illo qui tat therrema quod antea consideraveram
  27. BDGK 1 FC B.. Cujus Vheorematis
  28. Alter casus fingipotes, simplicessimus quo fingitur DGK linea recta qualis RS.
  29. D, ubi cuurva BCF cum langentes BD, CG
  30. DGK repraesertanti in punctis DGX. et transtatis
  31. gratium ODKGD
  32. ralii BLK
  33. et
  34. X
  35. sit in eon rem
  36. X occurunt rectae RS curvam
  37. BL, in DO, CM in GP, parallelismo servato
  38. CB duplum. nec refert quem angulam adeas faciatrecta
  39. Rs. em Nec refert sitne curon con BCF concava an convexa, vide figs.
  40. ide plura
  41. 2au octobi
  42. 1
  43. Hsperbola memorabile quadrilineuum CBN MC. aequam hic
  44. sit alia curva DGK, cu in punctis DG,K cin in punctis D. GX langenses prioris
  45. tam
  46. ut DL, CpM, KN sint lungentes curvae D
  47. alia figura
  48. ert
  49. Ep 2X
  50. 2a unde illud ruifin
  51. revrema illud intum memorabile, jam video non nisi Casum esse uncum aa simplicissimum generalioris, insprcefiguram
  52. sit curva _ BCFI, cujus laterm infivite parda BC, CF, Li S
  53. ECFG, HFIK occurrant
  54. . ubi et
  55. illudamolatur, si ordigatae acuva BCF, ad recto RS ut FY quae sunt
  56. scitficet aud angulos, applicebitur ei dem ad angulos
  57. langentes currae B
  58. in
  59. W. erit spatim
  60. t
  61. ABB KFCB duplui
  62. a.
  63. et
  64. ubi
  65. sH jt
  66. rectos, sed ibi ubt curma
  67. RSVW
  68. ipsius
  69. .Quae mita alis thcorempla f sunt et
  70. primm in figs. 4. Cujon BCd. longentes BDCH, B
  71. APE K9
  72. spatium
  73. qavallelae et aequales DoB
  74. ODKQ PO duplum spatii K.
  75. C1
  76. et Do
  77. LB, MC, FN. er cura
  78. FK I
  79. BCF
  80. sit vigs. ABCF quadrens circuli cujus centrum R. N
  81. erit DLD ad LB, ut LB ad AX. sive LD+ a prti NL erit NDd
  82. ubu
  83. et La
  84. D y+xr
  85. que
  86. a
  87. q2
  88. x
  89. = X v.
  90. NB tonstutae ad LH sunt ad Hypertotum
  91. simplicissim) et ex stocharnctercistito longentes insistentes arcubus, aequantur portioni iuperbolicie seu sectralibus
  92. 675 C ad axci. sed hoc obler. jam et perum
  93. arl
  94. XB.
  95. et. DOH Sae-ad
  96. Commensurabailis sive. a+
  97. patia angulisivumo genea sunt
  98. s
  99. si =b, transferitur ad D0, eum sit a et ZHNd a ent
  100. s
  101. a TI a5Z- a, et currucum aequatio: 72C
  102. L r
  103. alaco H 2 sive h
  104. Sa co
  105. e
  106. st
  107. 2y2
  108. 4.
  109. taZ -a, euit harculo
  110. 7. perdet ex inculi quadrotura et et illa ipsa cujus
  111. 2 videl elissil 24. octobe
  112. .

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 123v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0248?run=73