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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 343v

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. 344r); this page is its left half.

The machine reads it as

  1. Productum ex Xx abatac in ex +mxtan aequatii debet quadrato ad usum Tecragonisticum
  2. Sit Xx+bX + ac =00D et Axt mxtan D28 tipt Lxnrburac, aermut ac = 0
  3. facimus X= (, 2 + 1t6 + 148 + s DZ nott +130rh6 + vosq6, + 2 C rotg rro go sq 16ol 4 1906
  4. 22 6och + br0 1y +63016
  5. e O= 510 sq + fro su +. 53016
  6. BC = 100r 2 20B +2) 6= ∞ +31 N= 400 + 4 2 = oDV + 001
  7. nn- h4 +26 124 (+ 29 1h5 (a2 q 146
  8. bx = bse + b -. + b..
  9. Habemus literas 10, 20, 30 1, 2, 31i n0, 19, 2H, 5 10, 0, 530; 40, ocv 11, 001
  10. in summa literas 19
  11. aquaues seop, prumal. bblu
  12. aberuus
  13. 9paratitias ad
  14. 1 limatculi th
  15. 00D Eususq e msa eqs 13 5o. co1ro f hb sn songo h GS pra B, r0, e 10. 00d
  16. 520. 520 130 3 .. 520. S. 230 2
  17. pro 0, 10, 20, 30; 510, 520, 530; 40, 000
  18. 325027 siaso1o
  19. 32. 530 78 Bos3o t.. 51. 530 130 8. . 530. 520. 2308..
  20. 2hamenteeste srgob. . (1510. 8o2go2, .. 2 3u po17ot . . ( pro e, 11 21, 319 610, 5B 630, 41. 001
  21. 2. s1o. Sgp. 19 l7 2. 520. sto. 1406. . 2. 520. 5301204.. 2. 50.530 10t..
  22. 2 5v sp 2e su 7 . . 2. 810 530. 4 . . l 2. 520510 7 ..
  23. 610,620, 630.
  24. i Ad OOG pro irrationali it 3 ob v, fit , 3s3o +2. 40 Hb =. 10. 120. 510 + 20. 128. 520 + 30.120. sy0 +2. 7021D. 510 5)at 2. 30170 520. 170 , 00B. sior eo
  25. Eodem modo coincidentiabuatur axt HXtan, et D9G.
  26. pro irrationali eti4 obv 120= 20 +2. ∞0+ AB 3. 20, 24g., 1. (. . 10 510, 20 (. si0 vuip (1D aor, 5i . s3o . 7. 20. 510. 530
  27. sin 120 = D 2. 30+ 2o
  28. 2. 10+2. 40 = 2. 10, 130, 510.520 = 10. 230.510 -20. 230.526- 30. 2385, 1 -2. 005. 530. 52,: . 10. 510. 530
  29. Ex amobus posterioribus valoribus insius o 130 = tE Msso = 2 2o 3o. Aru. so + B asiB 3 a 138 d 0
  30. pro irrationali 1t2 obv 1252
  31. Seu 18. t20
  32. a
  33. aaoer
  34. 22. 1042. 40 + 2. 000. 570.530 (910 270. 510 + 20. 2. 12o +30230. 57D1. 2,20. 520 (579 5 110 o. u 3t ) ( 1B VaHLC530
  35. 1302 +2. 40 + 2. 40 - 2. 000. 540 530 (- 2. 20. 230 310. 52d, P210. 510626)
  36. o l. rao F 1, 000. 520. Ggu + 19, B0. B250 nome 105IS, 10. 310t 2OSIO 3053D)Pi amas g0. 210 Sar
  37. fiet
  38. t. 40 210SOZ 4 o 1 90. 520530 r
  39. quos duos valores ipsia 130 ae quando inter se
  40. -21 +2. 40. 2. 20s +4. 0oe 20521350 na o Wost dr305o +2 250.
  41. +2. 3052. 90. 210 sie. Ssu - 4. vo se stoisu s 946.38. 238. 513. 5, vniresi
  42. =1.10-290. 42 00o. 5 20. 530. 18. 5167205 5a3 +290.
  43. do
  44. 2oge seige - 20. 528
  45. +4. 10. 20. 510 4 4.o. 40. 510 - 4. 00o 310. 2530, = 520, 10. 51a1 30 51du 3S
  46. + 2 20 +240 - R oe 10.5
  47. 5ro-4. L 45 152P, 185320.3130
  48. vio 2. 40 + 5. 000. 51050, 15 1, 10 s 120 5id 30yse
  49. +2. 20 +2. 40 = 2.B00. 510. 530, - 2. 10. 510.520, 10. 510 + 10. 510 - 30. 530
  50. -2.10 - 2. 46 + 2.000. 520. 572, = 2. 205243 p10. 51d + 20. 32 - 30 530
  51. +2. 2 + 2. 40 = 2000. 5I0. SIB, 2. 18. 510. 530, 10. 510 - 20, 520 4 30. 54
  52. L. 10. j19) 520, 10go (po gui o 11e
  53. onmodi +oofeso rronrosio i
  54. =210-2. 40 4 20000. G203 30, 1d. 5d4 40. 2. 184 538 +30 (39+ 182. 510 H 7B. 30. 5t0. 130 F. 2s1o. 20.30. 510. 520. 530
  55. .on0. 510. 120, a 10. 510 4 0. 310 to . 510.
  56. +4. 1020 520. seo,
  57. = 4. 10. 40. 510.520,
  58. 74. 10. 000. 510. 516. 530,)
  59. (4 10. 20. 520. 520,
  60. +4. 20. 40. 520.5201
  61. = 4. 20. ∞0. 528. 530)
  62. = X 10, 30.510. 5309.
  63. - 4. 10. 40. 510. 530
  64. ( 4. 10. 000. 510, 140, 5303)
  65. F 2. 10
  66. + 2.40
  67. = 2. 00, 520. 530
  68. 1. 18 sie _ naste Hosi
  69. trose miniotusi ex di
  70. seubreviu
  71. eno i B. 10. 900. 515.: 520. 530.c.
  72. +2. 30-2. 40 + 2 13, 2. 10, 510, 520 +2. 10+2. 40 - 2000. 320.530 2. 20. 510. 520 10. 510 +20.520 -30. 53
  73. 2.30- 240 + 3 2.10. 310.530 H 210 +2 - rm. 1B,30 13413. 20 gyt 3051
  74. 8. 10,000. 510. 520.530
  75. 30. 51 2 ,6. 5 7 328. 510
  76. d l + decies 1020.30.7M 350
  77. in summa
  78. aequationes
  79. F 3. 1030. 519. 530
  80. 20.30. 5V. 530
  81. +20. 381616. 510
  82. 130. 5d( + 18. 29. 51. 510
  83. Crom 52o, 20. 51d - 3id, +2 10. . Su. Sod
  84. 38S B. Eiroabis reluum eon nescit
  85. (vono ud so o nes oron to st
  86. (4. 1030. 220. 510. 550 (on Wex 10. 319 (130. 53d
  87. +(.520 1840. 30. 510. 530
  88. 438. 530 4+18. 20.517.520
  89. 10. 26. 310. Se
  90. =20.30, 526, 536
  91. 420. 30. 626. 530
  92. +10. 510 - 18. 30. 515. 530
  93. - 10. 30, 510.538
  94. = 10. 510220,526
  95. +Lecies 10. 20. 30. 510. 520. 530
  96. uos ut his calau it bay tia h itbea si hilese odem modo
  97. ) P10. 518) - 13. 30. 510. 51 (24)
  98. 20. 5105 - 10. 36. 1d. 538 = 230

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 343v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0682?run=74