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[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 53

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: 0.86.

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

The machine reads it as

  1. Ina
  2. eeC
  3. periocte
  4. IIPOTAY
  5. im dialea
  6. aequali
  7. Quorul
  8. d Centr
  9. ionc aic
  10. oredes
  11. Orbibu
  12. um ad
  13. corporum
  14. in quibu
  15. subdup
  16. neas qui
  17. ni cent
  18. Orpora.
  19. dVicet
  20. quart
  21. la(cento
  22. CC aqu
  23. L ib. I.
  24. eE CTFOM L + L +OEL. H, L F M F B L R.
  25. LeSPR, Or rectR. LMLo, ob triangula rectangula BD X, SNP haben
  26. tia ansutos B2D, StA aGlates DoPle ParallelaS B X, NP; ClE SH.
  27. SD:: BB, BX; ex ideo B X vel huic aequalisPR=
  28. BL
  29. SH. FC, Propter
  30. similes rationes, pr - SPXb
  31. Su. Sed SDFBD, Sp B a sunt inter (C UE
  32. eorum semistes, nempe rrilinea SPB, Sp B; hoc est. sicutarex a corpori.
  33. busp _p Simul descripta, quae rurtus (ex COr. 2. PFOD. PPaeC.) Cune in
  34. Tubduplicata ratione laterum rectorum F. _ I; SIre SICuF L 3 ad lJ. FF
  35. isitur Px cA ad pr, sire Velocitas corporis in e ad Velocitatem COr-
  36. poris in p sicut s ad :: L. = = Sn. PExSN: hoc CA, in ratione com-
  37. Dolita ex ratione subduplicata laterum rectorum ad Figuras PB, pB
  38. Dertinentium, e ratione inversa perpendiculorum à centro virium
  39. S in tangentes demittorum. Ouod erat demonstrandum.
  40. GOROLL ARTOM T.
  41. Hinc Velocitates corporum, in maximis de mimmis ab I
  42. communi, circa quem orrantur, distantiis, funt in ratione compolta
  43. ex Tubduplicata ratione laterum rectorum, et ratione inversa distan-
  44. ciarum a dicto communi umbilico. Nam, in maxima vel minima
  45. distantia ab umbilico, perpendicularis in tansentem est ipsa dictantia.
  46. Si dictantix la à centro tuerint aquales, Velocitates, in ilto temporis
  47. articulo, crunt in subduplicata ratione laterum rectorum; alter d isd
  48. dictantiarum inversa in rationem aequalitatis mutata. EE A Agu
  49. rarum altera t Circulus, erit Velocitas in Sectione conica, in Maxi.
  50. ma vel minima ab umbilico distantia, ad velocitatem in Circulo in
  51. subduplicata ratione lateris recti sectionis ad distantiam duxlicatam.
  52. GiOROT L ARTUM 2.
  53. Tneadem figura, _ etiam diversis, quarum lateta LCCCa LunE X qua
  54. lia, Velocitas corporis est reciproce ut perpendiculum demistum ab
  55. umbilico, sive virium centro, ad tansentem: NTam subduplicata ra-
  56. tio laterum rectorum est in hoc catu ratio aequalitatis. Adeoque
  57. Velocitates corporis in Fllipli srrantis, in maxima e minima ab um-
  58. bilico dictantia, Punt inverse ut distantia. Nam, in hoc casu, distan.
  59. cix sunc ipsa perpendicula in tangentes Orbitam.
  60. CIOROLLARTUM 3.
  61. verticibus principalibus a _ P, C Contro
  62. vicium s spectati, sunt in reciproca dupli-
  63. Cata ratione distantiarum S A, S P. Suman-
  64. tur enim ad vertices a d Parcusminimi
  65. Aa P P, d Corporo circas reroluto aqua-
  66. libus temporibus minimis deseripti; e
  67. JUnSanEUE S a, S P. FrUnE COrpOrIS OTUS
  68. Cx S apparentes, ansuli ASa, PS P. AnSUI
  69. lorum ASa, PSP ratIO COMPONIEUF CX Fa-
  70. de
  71. ulocus apparentes Corpolio i Mblla

Cite

[Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa, fol. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1040780814:0071?run=74