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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 188r

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: 0.81.

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. 189v); this page is its right half.

The machine reads it as

  1. t Est Aequatio solida data, quomodocunque affecta
  2. a 2
  3. cV
  4. +rm
  5. +b y
  6. rnrp
  7. Sarbitrarius ri
  8. +rn V + ep
  9. pro y ponatur ejus vator gV - V + c
  10. ym
  11. =gl V) +2gC V
  12. +rmus - rul ) +rmc
  13. 2
  14. Lyf 102
  15. Pro Vunatur pursus ejus vator
  16. aequatione divisa per g
  17. q
  18. et habebimus
  19. + C y(
  20. +rnV, + rp. Allitica - Pur P
  21. se destruunt, - gl Vy + lgrY A
  22. substitutoque ejus valore
  23. 1
  24. V + 121
  25. +2 Abjectis quae
  26. et pro +(t v Iv2 N posito f.l
  27. 400
  28. +Ly
  29. lC
  30. ac dnq totaque
  31. ac denique ordinata habebimus:
  32. +rme
  33. trp
  34. +2gC
  35. At si addas (andem aequationem arbitrariam per
  36. = er 0, fiet aequatio ad
  37. + 1
  38. V =n
  39. sectionem (dnicam datam
  40. gu
  41. 1+
  42. 10.
  43. inclus
  44. sit sectionis conicae datae centrum B. axis seu Latus transversum: sgi:
  45. B. describatur rectangulum DEL DEFGI cujus latus DE, axi
  46. AC paraleilum sit quod ego appello: Rectangulum sectioni Conicae
  47. adscribere. In DE producta si opus est, sumatur _ punctum L,
  48. orecta ductage n LM, quae ipsi GF
  49. ita ut DL sit B DE +
  50. productae si opus est occurrat
  51. in M. et ipsi sectioni conicae in H
  52. Constat ex Cunicis rectangulum De, esse ad rectangulum MHL
  53. dectionis Latus transver sum ad ejusdem latus rectum.
  54. vides
  55. orietur Aequatio
  56. ad circulum
  57. At si addi
  58. l1aX+ X 1 y
  59. qua Reguli
  60. Duo ergo inventa
  61. sunt Loca
  62. Aequationis date
  63. propositae, alter
  64. ad sectionem Cncan
  65. datam, alter ad
  66. circulum, quorum
  67. intersectione solvitur
  68. problema.
  69. Sed ut rectarum g. et c. detat minatio habeatur, comparanda est haec aequatio cum
  70. alia ejusdem formae ad eandem sectionem conicam datam
  71. primarium, Duos vertices oppositos conjungens ABC. centro eodem c:
  72. AE mi
  73. ..
  74. auferatur
  75. usta: - Y tgB. LytC
  76. ut lineolis s
  77. orte
  78. rationem lateris recti ad trausversum sectionis conicae datae muldiplicatam
  79. tempe 4)
  80. (-rml
  81. +rn
  82. +Yme
  83. ct M
  84. matmidumiM
  85. Fgd. F.
  86. pro C, ponetur
  87. rectius ir
  88. item-legalcus
  89. un aequanom, simua
  90. tur arbitraria assum-
  91. 1492. it
  92. +2C
  93. +r
  94. i inm
  95. Mo.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 188r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0377?run=74