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[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 211

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: 0.74.

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

The machine reads it as

  1. d
  2. et
  3. t eil
  4. e
  5. uta
  6. nico
  7. III
  8. OdIt
  9. iltai
  10. C,
  11. TaluI
  12. male
  13. esp
  14. M piC
  15. Politio
  16. INOM
  17. CoBB
  18. ol
  19. est
  20. dle
  21. D
  22. 1D.2.
  23. EE AEDMETRTCA F LFMENTA.
  24. xa
  25. adeoque 50 = p - R: _ SCna; hOC CA, 2 a6B = , - k. CUIGUE CF-R- X
  26. erit SF =R - X + Z=R AIqui 2ACS = 2 AGF + 2GSF = 2 AGF +
  27. EFKES. Sed ex Scrierum doctrina nunc vulgo nota, in circulo cujus
  28. semidiameter rocatur e, segmentum cujus lagicta a P. CA X; hoc CA,
  29. ZACE = LVER: XI 2R 1X2
  30. 5V2
  31. a 272
  32. 28Y. = ec.
  33. Et ipSa CF = (Y2RX - X =, ex ipla operationC)
  34. 12R: X. -
  35. 2
  36. 2V2
  37. R- Zx2
  38. . 1612 = _C. Vnde SEKRC, Sive
  39. VER. XE = sR. X
  40. LDGIC Z AC5 = B- 1
  41. 2V2
  42. IvRixI
  43. L1ER: XS
  44. + 7R 2x.
  45. 1612
  46. 2R 2X3
  47. EY2
  48. 3X2
  49. 5V2 2812
  50. SRE X2 ( yR 2X3
  51. P 3X
  52. 10Y. dc.
  53. dec.
  54. 212 + 1612 c.
  55. o- duct. in V3 R; x:
  56. R 2 XZ R 2∞3
  57. 2V2 161. c.
  58. Ft pon oanatam reductam que aequationem secundum axtem
  59. invenietur,
  60. a = Y2BR E X: - 2R = X
  61. 2
  62. +
  63. V.bR2X p, P2X2
  64. 20 + _c.
  65. Et quadrando utramque aequationis partem ad tollendam asrm.
  66. metriam, eamque ordinando deletis terminis se mutuo destruen.
  67. ribus, fiet
  68. Sa t oK a
  69. 36
  70. 2SFC Frians
  71. et
  72. 45l.
  73. Onde L leu AF =
  74. 262
  75. 663 24b4 720b6 C.
  76. Sumped igitur AE aequali tot hujus seriei terminis quot libuerit, ee
  77. ex F Crecta ad aB perpendiculari AC, occurret hac circulo in quae
  78. sItO puncto a. O. H. F.
  79. Ft per PTOP. T. eadem FC FIlipR cuivis AKB super majorem
  80. axem AB deleripta OCCUEret in E, ita ut juncta si dividat lemi- e1.
  81. PIHI ARB M aCaS PaTECS AL S, BKLS datam habentes rationem.
  82. Odo Mnores ilerine diltantia punctorum ces (hoc elt, quo mi
  83. nor FIlipseoS excentricitas) et ratio e ad 0, eo pauciores hujus Se.
  84. CTermini in usum aliguem sufficient: Nam oportet rationem p ad
  85. Pal Vaesse ut series, qua est valor segmenti ACC, cito conversat;
  86. C, Uc pauci illius termini sint scemento proxime aquales.
  87. Proble.
  88. a 4

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 211. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0229?run=74