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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 172v

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: 0.83.

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. 173r); this page is its left half.

The machine reads it as

  1. a
  2. avv - aab, avv- aac aequanda Bto m quod esse poterit 00 8DD, si
  3. sit avv-aab = 00Z et aav - nac = 73 D
  4. Faciamus V = 11 2m + 123 smn
  5. C = 310) al + 303 Van.
  6. D = 410 tal + 403 san
  7. sint l, m, n p varinates indeterminatae simplices velut . Xt..
  8. vy = 112 lin + 2 112. 123m VIA
  9. Fecimus v 12 Am +nsun
  10. 8 = 204 p + 213 iIn
  11. 00 = 3id al + 2. 3103 a VIn 004 = 310. 204 alp = 213. 315 ab Vla
  12. 1237 MM
  13. 3ost an
  14. 305. 204 ahp 213. 303 an
  15. 2. 213.310303 aln, 2. 24.310. 3 3 a p..
  16. 9D = 48 al + 2. H0 4u3a Vn 87D = 418. 204 alp + 213. 210 al In
  17. 403 an
  18. 4032. 204 anp 213. 405’ an
  19. Ex ratio:, eb 00 ex avo- aab fient 12. Im - ab = 20g. 310 Lp F2 . M0. Josla 2. 213. Mo Josabm 2. 20 9 3o totap..
  20. nauos
  21. 204.303 np
  22. 9. Sed alteratiam ope signt ambigui
  23. aequatio l
  24. 123t nn
  25. ob ZDV ∞ avo- aac fiet neum
  26. fictentrrundae homoeopto seos causa melius
  27. =ac 2204. 40 lp + 3. 213. H0. 403In
  28. 12) 2. 213 (310. 303-410. 403) I + al,:9 204 (410- 310) + 204 (405 - 305) n. Et ita habetur p sine m
  29. ut tollatur litera m, et fiot 20q (403 = 309) b
  30. sed in habebitur componendo aequationes 1 et 2 addendo in unum, fietque adeo
  31. m 20+204 (210 + 316) p + 2. 213 (310. 303+ 410. 403) ln + ab, :, 2. 112 l +2. 123 n
  32. ubi pro p posset substitui valor ex aequ. 3. sed quia alium postea inveniemus commodiorem velorem ipsius p
  33. 204 (+03 + 3031) n
  34. Ex irra (ob 90Z = avv - aab fiet 2. 112. 123m = 213. 310 l + 2. 204. 30.303P
  35. eo differemus.
  36. tiona
  37. libus
  38. 213. 303n
  39. ob477 = avv -aac fiet 2. 112. 123m =~ 213. 410l + 2. 204. 410. 43p
  40. 213. 403n
  41. p= 213. (410 - 315)l, :, 2. 204 (310. 303 - 410. 403
  42. 213 (403-905)n
  43. Et aequationem s subtra hendo ab
  44. aequatione 6, ut tollatur m
  45. habebitur p, et fiet
  46. is valor ipsius aequetur priori (minus simplici) ex aequ. 3.
  47. compendio 410 - 318 vocetur 115, b.c. vocetur g
  48. 403
  49. 03
  50. et fint 4 2n 20+ 61 3 + 2. 304. 615 ag = 43. t. ndIl 4 2.213. 207. 118. 705 In
  51. 213. 20. 705 Mp - 4. 213. 2 +. 6134
  52. si eset fieret 613 = 110.,05 seu +613 = r2o 613 = 7 10. 705, seu 310.305 -2 310 41. 305.403 =
  53. 410 403
  54. 41. 403+ 310.303-310 93- 305.410 sou 310 403 + 303 410 - 2. 310. 210. 303.403 =0 seu
  55. 310 403 = 303 210. Sed video id non licere. Nam C et D haberent inter se rlationem
  56. constantem contra intentum, itaque .718. 703 - 2.613, erit
  57. 410. 425 1 310. 303) - 310 403 303 418 (2) 318 30 (2) 410 405 + 4. 310. +o. 303. 403
  58. Ac proinde ex equ. 8. fiet
  59. 403t + 303t Mn = 2. 463. 303Hn (2. 310.303, sR. 315. 403 In (9415. 403n
  60. seu + (10 + 31). Il + (403 3.3) un (P(E2) (310. 303+. 410. 40) In 2. (310. 303 + 410. 403) ab (+ C
  61. alet esse -
  62. =(2 (2) (10. 303+ 310.403) ln
  63. Rursus ex 5 et 6 in unum additis, fit M= 213, (305 + 405) N
  64. 213 (403 - 305) (310. 303)
  65. 410. 907
  66. (+318. 310.303 P 318. 410. 403 + 410.310. 30 418. 410. 403)
  67. 310, 310. 303 310. 410. 403 +410. 310. 203+ 410. 410. 407)
  68. (4305. 310. 303), - 303. 410. 403 + 405. 310. 303 (= 405. 410. 403)) n
  69. F303. 310.303) = 303, 410. 403 4 403 310. 303 + 4032. 410. 403
  70. 4. 112. 123. (310. 303- 410. 403)
  71. ( 310. 410 (410. 303- 310. 403) l. 4 303. 403 (403. 310 -410 303) n
  72. id est L3, 310. 410 (410. 503 - siv. 403) L + a 303. 403 (103 3 - 410. 303) n, , 2. 112 123 (31a 303 110 4to3)
  73. id est 2.12. 123 (310303-410. 403)
  74. aro 387l. 400 5 205) un +. = (316. 105 0. Aor. ) In 4 2 (30 303 o. 405) (ab tac)
  75. 213. (310 4 410) (310. 303- 410. 403) l F 213 (303 + 4032) (310. 313 - 410. 403) 12
  76. M = 4. 112. 123)
  77. 112 l + 123n
  78. (i0) 213. (310+410)l + 2. 204 (310. 303) p, : 4. 112. 123
  79. Et pro p substituendo valorem ex aq. 7. fiet
  80. M = 213. (418. 310. 13 )1310. 303)l
  81. seu me are
  82. (11) 213
  83. 4. 10403..
  84. 213. (a1St. 315) + 213 (410. 403 5 41 3. 1054 310. A0 7 310. 305)n F 4 (310. 305- q0 105) n
  85. jam novum valorem ipsius p repertum in aeq. 2 substituamus in aequ. 4. fiet
  86. (4052 3032)2N 213 (405. 410 403. 310 f. 393. 410) - 305. 310)
  87. +4. 310. 30375 1122l seu m 9. (310. 303 - 410. 403
  88. -4. 410. 403) 2 123 n
  89. 1410.403
  90. 410II+ 310tll8 - 2. 410, 310ll 4 2. 415. 405)72. 415. 303- (4) 316. 305 b = 8. 318. 303. 410. 403 431 0.2o3 () a
  91. Aequando valores psusd P ex aeqeu
  92. + (403 + 303). MM
  93. et pra p abstitato
  94. 40. 403)
  95. 2∞B aG = 2 ( (310.403 - 303. 410) En 4 (~) (410- 316) I(Y) = (e 0 110) (t05. 305 7
  96. =4 ( (310. 403, 303. 410) = (.L (310. 363 - 410. 903).
  97. 2- 2 L) (310. 303- 410. 405) l + (+ (40) 509) nn 213
  98. ac
  99. ebbe t
  100. d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 172v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0344?run=74