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[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 166

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: 0.91.

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

The machine reads it as

  1. PHZSTCX
  2. PROD. CCLI
  3. R ACFAXVS
  4. Ouando lunarur arcus, iuxta se-
  5. cundum modum, non incuruatur in
  6. parabolam: Nempe sine adducatur
  7. veraque extremitas, cencro immo-
  8. Bili; SIMC CCHEEUI, VEraqUC CXEC-
  9. micare immobili, juxta cerrium
  10. modum, perinde es; Led iuxra
  11. 18. 39
  12. cerrium modum non curuatur in
  13. Parabolam, igieur nec iuxca sc.
  14. cundum: Hlinc nondum habecur
  15. linea curua arcus adducti, quam
  16. nemo, quod sciam, hactenus de-
  17. Fiivic.
  18. PROP. CCLZ.
  19. Si afficatur muro cylindrus oblona
  20. eus, incuruatur in semiparabolam:
  21. Sic enim cylindrus C G, afxuS
  22. muso, leu plano reccicali CE; dico
  23. quod ineuruatur, proprio pondere,
  24. in lemiporabolam CL. F; nempe si
  25. Cic cylindrus AC, duplus prioris,
  26. Sustencatus FutCTO FC, cettC CUM-
  27. dem peaectabie gravicationis ette-
  28. ctum. acque li in vreaque excremi-
  29. tare lustentarerur; sed si Pustinea-
  30. tur in reeaque exrremirare ACF, in=
  31. curuacur in parabolam ADO, igi-
  32. tur si Cultineacur in medio C, in-
  33. curuatur in parabolam HC, F,
  34. aqualem priori per Prop. 258. nam
  35. compolica ponderum, de longiru-
  36. dinum; sed pondera Cune re lon-
  37. gicudines, igieur depretiones lune
  38. in carione duplicara longirudinum;
  39. igitur depressio OF, CM ad HL,
  40. RC; ioitur est parabola, ve constat
  41. ex dictis supra, et ex geometria:
  42. licet enim corum pondus GC Con-
  43. currar ad deprectionem RL, VE
  44. endem caula, cumdem habet ette-
  45. etum, per 2X, 4. 2tqui legmenta
  46. recineantur in C, igicur cylindrus
  47. incurnatur in Cemiparabolamipra.
  48. terea cum punctum C deprimatur
  49. requadtacum CC, ad quadratum
  50. constac; unde sI eNeE LaNEUM CR,
  51. non eset haud dubie ranea deprel-
  52. CG, C A, Perinde INCUTUIANEUI
  53. comiunctim, acque scortim; modo
  54. CO, aftixus plano verricali CF,
  55. iIn F, toro pondere (C, e recte
  56. Sio, immo esset cantum lubquadru-
  57. CC; punctum veroH, in L, a pon-
  58. dere KC, & recte RC; cerre de-
  59. pressiones CF, KL. Cunc in rarione
  60. Plas nam perinde le habet inomen.
  61. cum CC, acque si ellec appensum
  62. Pondus in R, aequale CC; Luppono
  63. aucem CR, elle aequalem KC; &
  64. perinde se habet leortim momen-
  65. tum CR, acque li ellet appentum.
  66. in O, pondus aequale CR; Luppo-
  67. no aurem CD; elle aqualem OK;
  68. Led pondus subduplum in O, cum
  69. recte OC, haberce tancum lub-
  70. quadruplum momentum; pondus
  71. vero duplum in R, cum recte KC.
  72. haberet quadruplum, re constae
  73. ex Aarica: hinc quo cylindeus est
  74. lonoior, acuriorem parabolam
  75. Facie; quo breuior, obculiorem:
  76. Trague re ad rem redcam, licer to-
  77. tum pondus CG concurrat ad de-
  78. PrestIONeM KL, non camen ad
  79. haiic Colam, Ced ad alias omnes
  80. Lingulorum punctorum CC; scilicet
  81. iuxca eam proporrionem, iuxta
  82. quam momenta crelcunt; led haec
  83. crescune in ratione duplicata ca-
  84. rumdem distanciarum, Ceortim ac-
  85. cepearum; igieur de coniunetim;
  86. igitur deprestiones Cune in rarione
  87. momentorum; e hec in ratione
  88. duplicata distanciarum; rel longi-
  89. rudirum.

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 166. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0252?run=74