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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. 275

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. LIB. LV. DE GRAVI ET LENI.
  2. ve eRfectus exrrusionum; id est ve. Tub eadem alcicudine, igieur du
  3. effectus ponderum; id est effectus plum mobile exrrudendum cA; Cec
  4. ve caulx.
  5. PROD. LZZV
  6. TIinc supposita eadem maleria,
  7. cuncta parallelipipeda ejusdem alii-
  8. eudinis, sed diversa basis, aeque velo-
  9. citer descendunt: Ovia licet sIc
  10. xqualis mocus, quo mobilia exeru-
  11. duneur, Cunc camen diverta mobi-
  12. lia; quia Cune diver(a bases; CUNE
  13. enim haec mobilia extrudenda, ve
  14. iplae bales: Porro pondera (unc re
  15. bales in parallelipipedis; Cuppoli-
  16. ca Ccilicer eadem alcirudine; ette-
  17. ctus vero exrrutionis, in rarione
  18. compolica alcicudinum, seu mo-
  19. cuum mobilium exerulorum, de
  20. iplorum mobilium; ac cum alci-
  21. cudines sine aequales, acque adeo
  22. mocus praedicti aequales, cerre ef.
  23. Feccus exrrutionis, Cune re bales,
  24. vel veipla mobitia exrrula; sed
  25. Pondera Cune re praedictae bales;
  26. isicur pondera lunc re hi effectus;
  27. isicur aequali rempore haec mobi-
  28. lia descendune, re paret ex dictis:
  29. rbi enim pondera lunc ve Colida,
  30. de re effectus exrrusionis, haud du-
  31. bic est cadem proxortio virium, ad
  32. relictenciam medii: v. 5. (1 (uppO.
  33. natur eadem basIS, Led diverla al-
  34. cieudo, est idem mobile exrruden-
  35. dum, Ced diverso mocu; li cadem
  36. alticudo, sed diversa ba(Is; est di-
  37. versum mobile exrrudendum, sed
  38. eodem moru; v. 8. Si dupla Cic a1 -
  39. ticudo, duplo moru extendicur; sed
  40. ad duplum mobile. CA dupla rcl-
  41. cencia; de duplicis basis, cum ea-
  42. dem alcirudine, est duplum pon-
  43. dis; ioitur dupla vis; igieur ca-
  44. dem Cem, er manet proportio vi-
  45. rium, ad relistenciam; idem dica-
  46. cur de cylindeo et prilmace.
  47. PROP. LZ XVTI.
  48. Parallelipipeda eiusdem ponderis,
  49. es materiae, sed diuersae alciudinis-
  50. es basis, aeque velocirer descendunt:
  51. Sinc enim A, e B; alcicudo A
  52. dupla, ee batis subdupla; cerre,
  53. Pondus A exerudic (ubduplum mo-
  54. bile, acmocu duplo; igieur can
  55. tum decrelcie resistentia, catione
  56. mobilis, quantum crescie, ratione
  57. mocus; igirur Cemper cadem ma-
  58. nec, racione reriulque, coniun-
  59. atim; ergo eadem proporcio vis,
  60. Ccu ponderis, ad relistenciam: hinc
  61. Si Sic parallelipipedum, Tub cribus
  62. diversis laceribus, v. 8. Cub 1. 2. 4.
  63. eodem Cemper morudelcendic; sIE
  64. enim praedictum parallelipipedum
  65. CC, GC lacus AD, 4. AC, 2. AB, 1. FiG 58.
  66. Ei descendar in basim CD, alcirudo
  67. cric AB, igicur rehstencia eric com-
  68. Polica ex bali OD, ee alcirudine
  69. AB, nempe mobile excrudendum
  70. CA rEbaliS, dC MOTUS, quO exETU-
  71. dendum cAt, ve alciendo; igieur est
  72. tacio compolica ex 1. dc 8. li cadac
  73. in balim OF, CA compolica CX 2.
  74. ∞ 4. si in balim CB, Cx 5. ec 2. igi-
  75. tur est semper eadem relistentia, de
  76. ad duplum morum, est dupla resi- idem pondus; igirur eadem veriul-
  77. stencia; de duplicis alticudinis, cum que provorrio; isicus aque cito
  78. eadem bali, est duplum pondus;
  79. igicur dupla ris; igitur crelciere
  80. sistencia in ca proporrione, in qua
  81. vis crescir: sic rerd dupla baliso
  82. rerumque descendir.
  83. PROF
  84. 1M L

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 275. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0361?run=74