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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 267v

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. 268r); this page is its left half.

The machine reads it as

  1. ge
  2. 3
  3. 369
  4. 1082
  5. 2
  6. 3
  7. 3 74
  8. 1088
  9. Epto in Plo Rectengulo AB 3. BC. 4. AC5.
  10. centrum gravitatis D.
  11. Wideamus au recta ducta per D ut est EDF
  12. etiam peripheriae momentam bisecet
  13. esto cd. basi BC. parallela. exempei
  14. guatia. Jam momentum BC est 44a-
  15. 4a. ducta EB in BC.
  16. momentur e EB a por
  17. porro FC est AC, ejus puncti medii
  18. distantia ab EF es = EG. Ergo ejus momentum
  19. 5a
  20. 4 = Ea s
  21. 2a2a 4a
  22. 24 7a 442
  23. 4a2a- a
  24. 44 2a. +a a
  25. 2a C2a 447 3
  26. 2a a - 43
  27. . 2
  28. 4a
  29. e
  30. Xa
  31. ae a
  32. 64
  33. a 2a- a. J 3at a-
  34. =4a
  35. Summa momentorum 3 hujus lateris.4a + a +5a: 9a + 5a = 54 + 10, 64) 16a
  36. ab altro latere sisi prie
  37. mum summum lineam omnium AE+ EF+AF 12 123
  38. +
  39. 5
  40. = _ 8a 2+ 858.
  41. 6
  42. 10. = 18 4 - 6 + 2 - 8.-
  43. 42 B 322 6(2
  44. ducamus in distantiam, centri gravilatis triaehnili AEF a recta EF. quasi istud
  45. centrum Trianguli AEF etivi phipheriae ejus olincentium esset, distantia autem est
  46. fiet _1ba ecce idem quod ante. Idem aliter proveniet, multipliando
  47. 2
  48. A A per 1E = 2a a = 2a, et AF - 70 a a = 10 a jam 10 a + 6 a (a)
  49. 164
  50. librationis AB.
  51. = 95a2
  52. 2
  53. Nure rem experiumur infigureo acctilinea compositae, se hypoleans
  54. ut ABCD. F ita tamen ut facilioris calculi causa surdas radices evitem
  55. ideo altitudo A AB = 6 + basis BC = B + 3. hypotemsa ADvd l
  56. 12
  57. Investigemus nunc Centrum gravitatis Tilimei quexi orthoponi couexi
  58. AB_CDA, ergo primum momentum ex AB. rectanguli
  59. 128 Bd momentum ex AB. est 3 8a 4a = 324, 44 = 129 a
  60. 64. DFC. = 4a 3a = 12a - 6a 9a = 5+ a.
  61. 24C
  62. in AG4- 628-48 a 24a 8a = 64 a. Summa
  63. 4
  64. 64
  65. Po
  66. mentorum 128 +54 +64 = 246 a3. dividatur per
  67. 216 (360 = 4 - = a. = 246] (12 3a) - BH.
  68. e
  69. 62
  70. 62
  71. e
  72. distantia centri gravitatis hrilinei cquexe a AB.
  73. 296 Similiter ex basi B axe aequili librationisposito BC. momentum
  74. BDF erit 32a2a = 64 a. RFDC 6a 4a - 3a
  75. R AGD. 244 4u 6a - 1440 Semma.
  76. 64 + 8 + 144 - 21647) (108a)
  77. 624
  78. Ant fere somm
  79. AYI
  80. Nunc quaeramus et (entium gravitatis periphetae: ac primum exaxe f
  81. C primum BC = 11a ia = 121 a. deinde DC 5 P+ 3. 40+ 1 (.
  82. dividatur per 11+ 5+ 10 - 26a fiet 148 a 24 a comparetur haec distantia priori:
  83. (23a (74) potet has duas ranis non esse candem. si dividas 148a addito sil. 10a =AB
  84. 26
  85. 3c
  86. fiet 14y (74) (374) hoc ratio propius quidem aceda, sed non 36 gnen est praeise eadem
  87. 1 ∞
  88. priori 123a. Ergo lentenus ex brachio DE. extra assumto. BC = 11 a 1a = 121 a
  89. CD - 5 d = 15 a Ad = 10a 3+ 4 = + a. Summa: 24. 15 ar 140 a
  90. 276) 138169)(23
  91. 36
  92. ad 23 adde 74
  93. 13
  94. Addatu ad 123 + 23 2bu deberet fieri 11. quod
  95. non facit, 31 X 3
  96. nusus nihil. quid si 22 37 34f1+. ne sicquidem
  97. 3
  98. X
  99. patet lineas non nisi ex axe, qui inteo ipsas non sit, librari debere,
  100. ut eorum centrum aequilibri habeatur
  101. ea
  102. 1B3
  103. 29.
  104. c
  105. ui
  106. 1g
  107. A0g2t
  108. Smmm
  109. Sumursa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 267v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067993:0536?run=73