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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 276v

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: 0.73.

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. 275r); this page is its left half.

The machine reads it as

  1. Videndum an possit novi quiddam ciria qcubicas aequationes fieri facta
  2. positione ejus modi.
  3. ap
  4. qX 1 dqu F (0bc 5, +bc + la + 04(bc + d (Obc + m qu
  5. erit PX 2f 196C + F 19bC + la + 2dg s0bc + Z Bbe tm 4
  6. +2dupt . . . . + 2 n q (Obc + q 1Dbc + m + n p
  7. a s.
  8. df (3)bc + f19bc + la SF 12) BC + F 15) bc + la
  9. a3
  10. +B3) 4 13 bc + 2 (3)bc + in
  11. d f136C + f 13bc + la 15 bC f13b0 + la
  12. + 3d q 1 bc + 8 (0bc + m
  13. (BBC Q 13) bc + m
  14. Sb 10bc +28 bc + 2gm (8bc
  15. a 510BC + 5 s0betia
  16. +q2
  17. +
  18. ag 5 10bc + f 1.bc + la
  19. +34 n. 5 s8bc +f50bC rta +6dn 3 (bc + 2 19b2+ m
  20. +3n d (5 1Bbc + f (3b0 + la + 3n
  21. AN H
  22. +n
  23. +gn,
  24. + bC +29m 1bC
  25. ut q
  26. Ponendo jam 3n p - p. et efficiendo: np + a +YF0 sive A P - P +Y 10 sive 2P +Y10
  27. tunc ante omnia simul e fractiones et criationales quadraticae tollentur ex aequatione: Videndum
  28. autem an hoc sit in potestate:
  29. X y+ ∞ ah y + a l. 10 VY X + Co. X + 3C0X + 3co d + co
  30. et debet esse. 1 = r. sive C) Co ( 1) ratico - at
  31. Unde nr -co 27
  32. et fiet co ab co a at A0 Quae aequatio potest I na ctabilis esse etiam num data non
  33. est tractabilis et fiet : 2, 27C3 - 3c0 + ahco - c + an Cd = a l. Unde esse deberet 170
  34. Quid si sit S +y + ab y + a 70 fiet et y, X + co. fier
  35. X3 + 3CO X + 3c0 X + c. et fiet: E(∞, 27 C (3, 9Co 3, 313 3 n 2P
  36. +: 2dc0. +E C I
  37. tah _ rahico
  38. a
  39. C
  40. M
  41. Cec-co (34)-
  42. C2o)
  43. dud
  44. +at
  45. MH
  46. ( ( c0) 4 atica ract
  47. e qn
  48. et tentandum aufieri possit esse : 2c0 3 - 9ah + 17 ast pjo sed haec conditio priori
  49. cincidit. Quid si faciamus: in aeq. y x - ah y + al: H. VH
  50. 3
  51. PH + ScX YS inde aeqpuio X 3
  52. Unum adhuc tentandum superest, si
  53. 3
  54. ah Ex at c .. - a β3C0 X
  55. o
  56. aequationem cubicam per qubotraria mulliplicater X3 +Y3c. 2r3c. +Yco
  57. ex. V7
  58. X
  59. ex quadentica rursus ad cubicam reduramus. sit. A yZ -ah y + a 10. in Y 12. dabic.
  60. rnV X = mati. + mas frso Unde per resulam Huddcuii, cubica:
  61. A y X - ah y + ady
  62. fiets
  63. fi et culica haec: X3 + ph X A Smfr X = mA
  64. +27 X +D et +D 27lmA
  65. et fisi aequatio: m + +2 h + hm - 2ti tapst +A
  66. et sublato termino secundo
  67. M X + h M -oto
  68. Noti penultunum coati
  69. M affinnation redoere velle
  70. = 4h
  71. 2742
  72. redit ad determinationem Cardarii
  73. Terminus illimus est quardratus a 1 4h - 27A
  74. Termipenult. est: h2, w7N- at3 23a sa
  75. 27 A2
  76. (2FY 13
  77. (16 H
  78. 8, 17 N s C
  79. +27, 173
  80. 27, 27 43
  81. 14
  82. 7 h3 2b3
  83. cpnregut
  84. m A
  85. nA
  86. pa Fsbc a flObe ala
  87. +29 bc + 2yn 36
  88. +C (3) bc regn. (b2
  89. + m
  90. at f16C + 10bc rla
  91. n
  92. bs01
  93. =ah. =ahico
  94. rebi mirabili
  95. calculi exitu
  96. destrnitur cd
  97. adeoque nihil hinc
  98. po est duu
  99. Nisi nos putemus
  100. duci ad calulli praepa–
  101. rationem
  102. N r
  103. 4h3- e vocando
  104. +4+ 22F2
  105. 8172 3.
  106. = ha2kr
  107. 2h
  108. ea tinro
  109. sed sed hic rursus co eoamesct
  110. et β Credo dacet
  111. adem quod ante
  112. (xtimA
  113. rah
  114. neto
  115. -h-ni
  116. +hi =( 2e m3 = 5 5
  117. +3mA h
  118. +m 62
  119. sive detet esse + hd - 25 de p 4h
  120. qod est oospiee

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 276v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0552?run=74