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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. 105

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. II. DE COMPRESSO
  2. OR O L F
  3. Elinc primo colligo, etiam chor-
  4. dam in sicu inclinaco, incuruArI
  5. Proprio pondere, in duas Lemipa-
  6. Fabolas, v. 9. sc chorda inclinata
  7. eig. 26. IZ, cuius centrum (CS, quod
  8. deorlum chorda adducac in IV Z,
  9. V. 8. duCaNEur ZT, 6 7. Parallela
  10. SV, cum. X8. parallela IZ, dico
  11. 2T, ese lubduplam VS, Ve constat
  12. ex dicis, isicur si punctum T, vel
  13. 2 lingulari nisu adducat Seomen-
  14. cum LV, in IZV, icemque punctum
  15. 8, vel 6, ad ducac Tegmentum V Z.
  16. in V7 Z; & per puncta l XV,
  17. icemque per V7 Z. ducatur linca,
  18. crune duae lemiparabolae: ducatue
  19. enim YE, perpendicularis, eum
  20. L y, ec 7 S, parallela VT; dico
  21. Y. esse subduplam VP, icemque
  22. 95, repatet ex elemencis; icem-
  23. que YX, elle subquadruplam VI,
  24. icemque 97. igieur IXV, est semi-
  25. parabola, cuius amplicudo est TI;
  26. icemque V7 Z, alia Cemiparabo-
  27. la, cuius amplitudo est IZ; igicur
  28. Chorda in seu inclinaco inCUFIAEVE
  29. in duas Cemiparabolas.
  30. Secundo colligo, has duas semi-
  31. parabolas esle inaeguales, nem; c
  32. superior est obculior, inferior verd
  33. acurior; Cunc aurem re lonoicudi-
  34. nes amplicudinum; cum sine cius-
  35. dem alticudinis, nempe planum
  36. (V7 Z, est ad rectangulum lub
  37. TZ, VE 2 ad 3. icemque parabola
  38. TV=L L ad rectanoulum Cub VTL,
  39. VE 2 ad 3. Ve patet ex conicis; ici
  40. tur praedictae lemiparabolae, TunE
  41. incer le re praedicta rectangula;
  42. hac aurem re amplicudines ZL,
  43. Tertio, A planum Rexibile, in
  44. duobus laceribus horizonei paral.
  45. F
  46. TENSO.
  47. lelum imnobiliter aTigatUE,
  48. curuabirur deortum in EOF parabO.
  49. las, quoc Cune puncta in lateri bus
  50. actixIs; quae latera si sine in eodem
  51. plano horizontali, InCUFUaTUE PEE
  52. dictum planum, v. 8. linceum eodem
  53. modo, quo chorda centa iunca
  54. Prop. 162. Si vero non sine in eodem
  55. plano horizoncali, sed in eodem
  56. inclinato; incuruatur predictum
  57. planum eodem modo quo chorda
  58. cenla iuxta corOl. n. 1. denique (1
  59. pradictum planum sic pacallelum
  60. Plano verricali, ciulque tandem
  61. duo anguli immobiliter aftigantur.
  62. duo latera oppolica, quorum sci-
  63. licet rnum Turlum est, de aliud
  64. deorlum, incuruabuneur in paca-
  65. bolas: v. 8. Sic linceum rectangu-
  66. tum, AS, in sicu verricali actixum, Fi8. 253
  67. in punCtiS AF; LaEUS AF INCUEHAEUE
  68. in parabolam ACF, de latuS OS
  69. in parabolam QTS; Ve ConstaE ex
  70. diclis.
  71. Ouaxto, E plani circularis pe-
  72. ripheria aftigatur horizonei paral-
  73. lela InCUEHaEUE Eocum planum
  74. deorlum in Cuperticiem pacaboli-
  75. cam; nempe perinde est acque si
  76. LOc CBenE chordce inCuTUaTA, quOI
  77. Cunc diameeri in praedicto circulo;
  78. E planum sic rectangulum, de afi-
  79. satur in quaruor angulis, incurua-
  80. cur etiam deortum in Cuxertciem
  81. Parabolicam; est enim eadem rario;
  82. adde quod in Hoc calU, quaCUOF
  83. lacera in quacuor patabolas incur-
  84. uaneur; idem sic in planis crianon-
  85. laribus, polygonis, dec. est enim
  86. cadein ratio.
  87. Ouinto, si chordae cenla inserta
  88. Sine grana xqualis ponderis, etiam
  89. deortum incuruatur in parabolams
  90. cum sit eaclem rario, quam hic ini-
  91. nime sepeto: huc reuoca naurica
  92. reldi

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 105. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0191?run=74