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[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 57

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: 0.84.

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

The machine reads it as

  1. L
  2. ntur:
  3. peta,
  4. It altC
  5. Vis TCHC
  6. OLIS.
  7. CrUI, N
  8. pertecto
  9. lescriba
  10. UI MOL
  11. etaS qua
  12. resistent
  13. quipper.
  14. DtIS, IN V
  15. ola nin
  16. ii resiste
  17. Si enit
  18. Cd pFOI
  19. dis d 1
  20. Subduct
  21. ntur, V
  22. etur, M
  23. n rectam
  24. dente,
  25. Brobl
  26. Prima
  27. VI.)
  28. licum 1
  29. Fib. I.
  30. _E GEOMEFRFCA F LEMENFA.
  31. Primali Cencro taventio, al guou Det altam Prop. Xa.) cen
  32. vis centripeta, qua a moru rectilineo retrahitur: (deformitas enim
  33. Fllipsis a Mocu sepiuma vel aliunde tantilla elt, ut hic sit negli
  34. Senda:) Fit isitur (Der PrOD. XXXIX.) lex vis contripeta tendentis
  35. ad Primalcc Ca Cll, u dicta ViS hE quadrato diltantia a cen-
  36. tro reciproce proportionalis: hac enim Lola Corpus a motu rectili-
  37. neo in tansente a ri insita orto retrahitur, et in Orbitd Lllipticare.
  38. tinctur. Isi ergo duo motus, (nimirum alter in tansente aquabilis,
  39. alter vero versus Primarii centrum tendens, ex auctus in ratione
  40. qua adratum oManera laceeis ab illo diminuitur,) inter se com-
  41. Polit, Planetant sccundarium (projecti instar) Orbitam L llipricam
  42. delecibctocodunt.
  43. l. CL
  44. Planetae e Cometae in Cis fais tementur per Cravitatem
  45. eadem leze per universam ossma solare propazatam.
  46. EADPOSITIO XLVI
  47. I5. qu’a Luna ad Terrae centron dehun, quaque in Orbita sua
  48. retinetur, eadem est cum vi Gravitatis, qu’a corpora terrestria
  49. quaevis ad idem centrum tendunt.
  50. spatio dierum 27, horaren 1 seapue 43, Hoc cst, Scrupulis ho-
  51. raxiis 3945, Palet I. c eluo inteora peripherix, LIrC 33 LLupusotu
  52. (sccundum nuperam D. Picart. mensuram)
  53. est pedum Parisientium 123249600; ejul
  54. que proinde semidiameter Ta Dedum
  55. 296T580O: Quare T L diameter orbitx L.u.
  56. naris CA Dedum F176948000; nempe (Cx
  57. Draedicta PrOP. XV.) ipsius T a Sexasecupla:
  58. EE arcus F C, 33 FinuS VorTUS LD, _ huic
  59. aequalis BC est pedum Parisiensium 15 +
  60. quam proxime. Igitur vis, qua Luna ver-
  61. uS Perra centrum tendit, (quaque a motu
  62. rectilineo secundum tangentem LB retrahi-
  63. tur, ec in orbita lua retinetur,) talis est qua
  64. Spatio scrupuli unius horarii Lunam versus Terra Cu DelIE
  65. Der pedes Parillenses T5 J. Cumque (per Prop. praec.) rishac in L’una
  66. auseatur in eadem ratione, qud Duadratum distantia a centro Terrx
  67. diminuitur; si descendatur ad superticiem Perta, uD Gcaca
  68. dictantia a centro minuitur ricibis 60 60, ausebitur illa vicibus
  69. DONIGNCE R A F Terrans, CuseS COIIC uL L, VL Orbitam L unX, CujuS
  70. DarS L. C a Luna percurritur spacsouus scrupelli horarii. Ouoniam
  71. (ex PrOp. XV.) Luna perivdMM LuaH IC Mcsum circulum conficit
  72. Tecundorum oradus. Porro, ambitus Terra
  73. 6OXCC

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 57. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0075?run=74