Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 447

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: 0.87.

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

The machine reads it as

  1. ib.
  2. Hordam
  3. equalbis
  4. um e
  5. CM P
  6. inven
  7. renat
  8. C CxC,
  9. modo
  10. cedere
  11. 2C pet
  12. adino
  13. recta
  14. omela
  15. terete
  16. igituI
  17. id viet
  18. iCa.
  19. andis,
  20. ceden
  21. 1;
  22. Copu
  23. rUM 50,
  24. Cr(IS de
  25. ACB,
  26. squb
  27. DIX
  28. fB.
  29. IN
  30. Lib. V.
  31. SE CTEOMEFRFOA R E EMEN Y A.
  32. dabuntur igitur et reliqua, nempe Xs X E5. In triansilo deinde
  33. SXS dantur latera X5, X0 cum ansulo interjecto SX A; HOn latCBII
  34. iditur angulus X55. Sed, ut prius dictum, datur politio rectae SX,
  35. Tire angulus quem hac facit cum YX, cujus positio es Oblerrarione
  36. nota, (nam in triangulo Xrs dantur latera r5 _ TX, L a ulus
  37. XTS distantia inter Locum Solis cognitum Locumque Ciometa pl
  38. mo obserratum, unde rXs innotescit;) _ igitur positio rectxe 5595
  39. nota erit, sire Nodorum Locae Sole vita. Ouod s recta O0, XE Fu-
  40. erint xequales, Nodorum Linea parallela est ad ox, ideoque positi.
  41. One coonita.
  42. Ad determinandum Tempus quo Cometa Nodum tenet, Sit cE
  43. Trajectoria Cometae Der PFOD. XXVI. descripta per puncta a e E, In
  44. cujus plano reperiuntur recta So, SE, Cit.
  45. que superius reperta Nodorum Linca S52
  46. Frajectoria in s e 8 occurrens; erit
  47. (DEF PFOD. XIV. Lib. T.) interrallum tempo
  48. ris inter Obserrationem primam _ mo-
  49. mentum quando Cometâ ad Nodum ob
  50. appellit ad interrallum temporis inter Ob.
  51. servationem primam e tertiam ut area a355 ad aream aEs: Sed
  52. arearum aESS _ cES ratio eAt nota; (quippe ipsa area cognita
  53. TunE Cx PrOP. XXIV. Archime d. de Quadrat. Parab.) isitur et Tem.
  54. Dus quo Ciometa Nodum so tenet. Pari modo innotescit Tempus quo
  55. Ciometa ad Nodum alterum es appellit. P. F. F.
  56. PROPOSITIO XZIX.
  57. Nctinationem plani Prajectoriae Cometae ad planum Fclipticae
  58. determinare.
  59. Tisdemmanentibus, ex puneto 0 ad 85B Nodorum L inealH al
  60. catur perpendicularis 08, _ junsatur c25.
  61. In triansulo ase praeter rectum ad es dan-
  62. EUT (CX PFOP. PFXC.) angulus OSes de latuS
  63. 05; innoteseit isitur 08. In triangulo de-
  64. inde rectangulo 00e dantur latera circa
  65. rectum 00 _08; e proinde notus erit
  66. angulus 080, qui (per Def. 6. FL. XT.) CA
  67. Inelinatio plani Trajectoria ad planum
  68. Rcliptica.
  69. PROPOSTTTO XXX
  70. Rajectoriae Cometae Latus rectum principale, Peribelium, Tem
  71. pusque quo Cometa in Perihelio versatur, determinare.
  72. FOcoS Per puncta a e E describatur Frajectoria Cometae per
  73. PrOP. XXVT; centro s per horum alterutrum (puta a) describatur
  74. circulus Trajectoria denuo in r occurrens; jungatur a V, ad quam
  75. ex s puncto demittatur perpendicularis se, qua producatur do-
  76. nec Parabolx occurrat in n; erit n Trajectorix Perihelium, de
  77. proinde

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 447. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0465?run=74