Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 41v

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: 0.75.

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

The machine reads it as

  1. si radii essent aequales, et corpora assumerentur majiru,
  2. tuquisitio nce sonnidiameerum circoli oscutantis
  3. opileturr eadem virium sectuo:.
  4. si proordinalis convegentes ad habeantur, ope calculi
  5. ty faxtau
  6. ECF 1rC: 1L2C:: eV CZ
  7. seu A +4 Ry:: CV. CZ
  8. y aer
  9. er CZ Satu = CV vel PC- PL.
  10. ay
  11. qurum differentiae sunt cujus aequationis
  12. a
  13. seontialis est
  14. V
  15. vexdu
  16. seu usCZa
  17. dys
  18. f, e trrangula VZβ et V2Z5 similia
  19. fiet rE VB: VHZB:: ve
  20. VD: V2Z: 27
  21. VZ1 Vd:i ZB
  22. 5
  23. 37 q (3: 27d.:V B. V0
  24. VZ. VL:
  25. jam = Vd -V
  26. Z = 7d
  27. et Z Zd: 1L2C:: PZ seu N. CZ: pC
  28. 2Zd: ZB:: V
  29. ViZ
  30. y. CV
  31. = CZ. et deZ = d-
  32. e
  33. Sua . CV
  34. seu recta reique parallela rectae. Vp Esta Est autem 1Zd: ihii pZ: PC
  35. andus
  36. ev
  37. i pZ
  38. obtriangula V 2Zd et p. Z d similia, sit fit 4 d 2Z: d1Z:: V. Z:
  39. th
  40. et Ergo 2 d. 2Z = d d2z0Pc: dy. PZ:: V
  41. porro d2Z et iZC
  42. (posito quo V2Z secet p1C in β) sun aequivalent aequalibus, quia differentia
  43. a
  44. mnes ia si al cruci nsro
  45. Ergo d2Z seu β1Z sunt est differentia iter
  46. P1Z- p22.
  47. Ergo d2Z=
  48. et
  49. vinte parvam
  50. priset
  51. M. diff.
  52. jam dFZ = d pc seu dx = d pZ seu d2Z
  53. l
  54. d
  55. y sn.
  56. C
  57. Ergo sif d sait: i
  58. d
  59. CV.
  60. pC
  61. = dy. 167. vC
  62. eseu est
  63. Ay) cV. x: dx
  64. Sitisu
  65. es pr
  66. si td = CV. RC est autem V7 = CY. i rax iu
  67. in dy
  68. ex PC ( = dus VL: a
  69. et fiet x sunt aliter dus ut sinus coplementi rodii ad curvo radii auguli radus para
  70. vex +u X firt: A et dx: Vax + otque est 3: a posito
  71. 6 esse S. sinus ejusdem anguli a Ergo fiet: a dx PC - dus S. VC = bCB CY d 8
  72. Si a = dx: dc:
  73. centrri ad luo:
  74. et fiet CV = axa PC - )S.BC: Pe d8. PC. ja ingulu cp 5) recto edducatu5)
  75. orcurrens ipsi tan
  76. enti C5in erit
  77. e SA: d S: a:: dx: dc:: CP: C5)
  78. s 8. 56S pe 5b = 6 B5 = 1S sinitotius ogt
  79. ducatur p5, eique parallela 9. 10. ex extremitate radi a
  80. occurens ipsi P in 10 eritus p. 10 = ~ et fet et
  81. 65=5. 65. P9 = 78. PC
  82. Ergo PC.:5: P7: 78..
  83. (V = dx a = dy VC: d8. sec ex a: f dy. 810 + d 56a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 41v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0082?run=74