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Leibniz-Handschriften zur Varia Physica LH 37, 4, fol. 2r

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: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. qe
  2. fer V
  3. padis
  4. in Gconc
  5. acs
  6. in
  7. tendicalarier subl
  8. ie
  9. uleinestac
  10. magis
  11. n pelictur, et fod
  12. dSx - ax
  13. YX
  14. d X = dx X cs
  15. ax c
  16. sit gloeus descendens pland Ad sine volutionem ita ut eodem semper
  17. puncto d planum langat. Ex centro cius C podeat chorita CB, ad rochleam B, per
  18. quam globum isustinere conetur pondus E. sit globi ce centum
  19. Gravitalis Ga centro tignis diversum strem in recta CD et centrum commune
  20. umponderis E, quam centrgrav. G. sit X, ex D, 5, C A in rectam
  21. BE demittantur mormales dM, Gt, CH, RP; quaeritur situs ololi et
  22. ponderis talis, ut BB. sat omnium possibilium minima. itaque
  23. inque B P per calculum investigetur. Dantur puncta A et B ideoque recti
  24. AB. latuo et ratio li terum hiansuli AMd vel dMB datur et recta 6
  25. Cq, Gd, de E ete cunctigne retur lap, edeoque prr id Z datur
  26. daturet summa rectarum CB, et BE demque datur pontis gloti ad pondus E
  27. Asumatur jam BH BM tunquam vel AM lonquum da esset data
  28. uinc duetuo D M, AC MB, DB. advoque ob datum dG, DC, darentur BG, BC,
  29. eoadeoque et GL, CH, et βH, et adeoque BL, BH datur mtud et CB,
  30. adeoque et CB+ BH, unde si anteris CB+ BE dat. restabit BE, datur ergo
  31. et EL; cuuque certa portio EP, quae addita ipsa ipsi BE, dat B P, quae facetndu
  32. omnium possibilium maxima. H ealen Hoec jam data calculo ex equamum
  33. AB a BR, b AA. _ C = amb d, d. CG, D, Gd, d- g- e
  34. CB+ BE = e C glib. C ad pondus E sit n ad n
  35. AM y. DM a yb: a Ad. yc: a MB ybb: aa Dβ, ybe: aa
  36. et (19 = ybc: a a + d.g et GL - ybe:aa + d - g a:C et LB - 3 bciaa 1d. g b. C
  37. et BC = ybc: aa + d et CH = ybe: aa + d a :C et HB3 = 9bc: au+ d ob: c
  38. HM: cD: b: C fe. HM, db: C et AH, y = dbis
  39. 1 (ut sialipa si estrecta si, ubi
  40. du
  41. + 2ybd: c + dd ac. cC et BH = yy - 2ya + aa fiet CB = yy bbia a +1 4 2y6di c- a
  42. sedieca
  43. + 2a dd cc 1 unde aufere B, auferendo (P +B1 n siet C
  44. P- fyy 6b: aa + 2y bd. c- a + ac dd: 0C 1 + y- a - e CH
  45. et CB + BH
  46. pore et EH = cB + BH = CB- B2, . yb. a + da: + y - ob: c- a + y - db: c - a = e
  47. HL : HM :: Cs seu g: Cd seu d ergo HL = 2b:C g: d = bg: C et EL = EH + HL, =EH + bg. C
  48. jam Ep: EL :: m: mAn. sit EP = EH + bg: C m: m+n et BE = e- cB et
  49. BP= BEFEP = e - CB + EH + bg:C mim tn = C = CB+ CB- CFBH + bg: C m: m +B
  50. Ergo BD = e - cB n. man. + BH m: men + bgm: C. nin = Maxime
  51. d X.C = eAx . 1. 2- dx
  52. dn = 2vd0 ie jan dCB = sg bra 1b: a + da: C 6 +3 b: a + y - 1b. C - a dy : CB
  53. quaerendum supcest qua sn dco sed = 9bb: a a (+ db: c)+ By = db: c = a, ody: CB et D d BH = dy
  54. erge ete jam B0 = = d cB n: min + d BH m: min = 0 Ergo fiet dem
  55. A
  56. viprematur pramiAt
  57. videndam
  58. non cecidisse
  59. ctra denens
  60. nybb: aa + ny -na = n CB, seu n: m:: CB: (5bb : aa + 1 - 2 = ) B B
  61. ergo habetur thectema memorabile n. ad m, seu pondus E ad globum C, ut CB ad B (.
  62. et valde memorabile est, quod inhllaccert ubi sit centrum gravitatis,o
  63. ollisia pnt p doni seesi o
  64. eotam cD globis
  65. icen
  66. cadat
  67. ans Cd
  68. sustenta
  69. hic pla
  70. di si
  71. ol ie alisi t ta itat
  72. poteraet puncta A et B
  73. raesi
  74. seu
  75. cet
  76. ione
  77. hat ad, e rectae portum
  78. uno
  79. fuisset, si centrum grantatis
  80. rectanc

Cite

Leibniz-Handschriften zur Varia Physica LH 37, 4, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068606:0003?run=74