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Leibniz-Handschriften zur Mathematik LH 35, 4, 19, fol. 35r

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: 0.80.

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. 36v); this page is its right half.

The machine reads it as

  1. ) Ca)
  2. Solutio problemabum
  3. Leida Florentiam missorum
  4. ata differentia segmentorum baseos (q.)
  5. et ratione una cum ratione quam habet
  6. alterutrum laterum circa rectum verticem
  7. ad differentiam eorundem, datoque alterutro
  8. angulorum ad basin, reperre Triangulum.
  9. BC, y
  10. v-x n a
  11. CDx
  12. Ad 4
  13. Cx Z. Z. y.: b: C. seu Z17 bZ - by. seu y
  14. Z: v:: d. C. seu Ze7 du seu e 21
  15. Ex Ex natura Trianguli Z. v 3=x
  16. seu Z= y v= x. jam v x av + aX per aequ. 1.
  17. ergo per 5 et 6. erit Z- y ar + ax. et per 2 rt7.
  18. _ 5Z+ fZY H avtar. fiet 2 X Sv per 4.
  19. raeque (ad na et quia 12 s e Z per 3. et d
  20. SM
  21. et t (12) lera Ebeque. ideo ex aequ. 9 fiet:
  22. X) 13+6
  23. cet ibe.
  24. bie per 2.
  25. 2+45) b+c. ad + C q1 Dip 4 7 7A a
  26. et ex et ex aequ 7. fiet: 22 birc 2ld st
  27. 2
  28. b E tac 2C7+ ax
  29. cy
  30. C
  31. sp
  32. Ergo Z p per sar 7 v XB a =A aZib set a ai ta
  33. In aqu. 8 pro substituatur valor
  34. per aq ex aequ. 8. per aequ. 2. fiet c
  35. ex
  36. 2cb CZpavtx
  37. et EB faciendo ab -c f. fier sc y
  38. (12) 622
  39. denique ex 3a M 11. fiet fce
  40. J av ex exus et 10.
  41. b24 B ax an +
  42. si ab eo detraratur datus DBE, dubitur et residuns ABE, Ergo Trianguli BAE dabuntur per equ. 1. est Y qu g seu sit fe
  43. seu fier lv lg0 + (d X jam per 1 est ho= hx havthax
  44. addantur 15 et c6 fier + lv - hX s+lgD + lg X + lgX
  45. e in aequ. 17 per _qu. 18. fietroit v
  46. nAn a (24
  47. 29- a ponatuo F m. fiet
  48. a et ex a
  49. a et b
  50. et an
  51. v +X p, mv + mX
  52. constructio elicietur talis circa quadratum ab FG scum
  53. describatur circulus, et in hujus quadrati latere uno F
  54. umatur FH aeqqualis datae a differentiae semmentorum
  55. CCd lyudatu ertioec basis trianguli quaesiti, et per H ducatur recta AHP angulo GHP
  56. ex quibus rectae
  57. Ecul in puncto p.
  58. ACEF CO AC semirecto, secans
  59. opus productam demissa perpendiculara
  60. c baseos segmenta, mam v,
  61. itaque erer HB sunt puralle lae
  62. pS est erunt
  63. inus n dems
  64. ex ba
  65. Ergo pro 13 feba
  66. scast9
  67. Ergo 9H sca2
  68. tat feri Nq fot d N
  69. en
  70. Vae s fiet ex trper VH9
  71. Fha. +a +ha
  72. ponatur l +hp - h. seu hp 1. et l - 2 fiet
  73. Siat fet N et
  74. = q a, v + X B it 3
  75. fit ee tr sa)
  76. 2
  77. eptecbre PVFH
  78. E aqus
  79. Fet Z2 yy aqu av- aa t av
  80. datur y ad
  81. datur ad y
  82. Ergone datur
  83. Notu data
  84. ratio dy
  85. v+ 2 at cor
  86. 2y aquavtax
  87. Cretle rav. aa
  88. op 2vaa
  89. nac, bb
  90. d, 2bc -cc
  91. sit ent a et him habetur b. sit op b
  92. hinc habetur e. fret:
  93. eb y 10Cb aquoradl
  94. 2b-a 1 1b. a 2bf-4
  95. en 10
  96. 1. HF seu a ep differenlia P et F5
  97. Summa ER et RF
  98. segrentor
  99. utraque enim est differenti

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 19, fol. 35r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068016:0069?run=73